{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Thesis.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "!pip install --upgrade pandas_datareader"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ObgASzWMk5fU",
        "outputId": "ef54cfdf-04a2-48f9-f482-dcfe307d355a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: pandas_datareader in /usr/local/lib/python3.7/dist-packages (0.9.0)\n",
            "Collecting pandas_datareader\n",
            "  Downloading pandas_datareader-0.10.0-py3-none-any.whl (109 kB)\n",
            "\u001b[K     |████████████████████████████████| 109 kB 5.6 MB/s \n",
            "\u001b[?25hRequirement already satisfied: pandas>=0.23 in /usr/local/lib/python3.7/dist-packages (from pandas_datareader) (1.3.5)\n",
            "Requirement already satisfied: requests>=2.19.0 in /usr/local/lib/python3.7/dist-packages (from pandas_datareader) (2.23.0)\n",
            "Requirement already satisfied: lxml in /usr/local/lib/python3.7/dist-packages (from pandas_datareader) (4.2.6)\n",
            "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.23->pandas_datareader) (2.8.2)\n",
            "Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.23->pandas_datareader) (2018.9)\n",
            "Requirement already satisfied: numpy>=1.17.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.23->pandas_datareader) (1.21.5)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.7.3->pandas>=0.23->pandas_datareader) (1.15.0)\n",
            "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->pandas_datareader) (1.24.3)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->pandas_datareader) (2021.10.8)\n",
            "Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->pandas_datareader) (3.0.4)\n",
            "Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->pandas_datareader) (2.10)\n",
            "Installing collected packages: pandas-datareader\n",
            "  Attempting uninstall: pandas-datareader\n",
            "    Found existing installation: pandas-datareader 0.9.0\n",
            "    Uninstalling pandas-datareader-0.9.0:\n",
            "      Successfully uninstalled pandas-datareader-0.9.0\n",
            "Successfully installed pandas-datareader-0.10.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip show pandas_datareader"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Qzb2dDqllKzu",
        "outputId": "f1c9d085-19b3-4e1f-9f31-fd00a0329f03"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Name: pandas-datareader\n",
            "Version: 0.10.0\n",
            "Summary: Data readers extracted from the pandas codebase,should be compatible with recent pandas versions\n",
            "Home-page: https://github.com/pydata/pandas-datareader\n",
            "Author: The PyData Development Team\n",
            "Author-email: pydata@googlegroups.com\n",
            "License: BSD License\n",
            "Location: /usr/local/lib/python3.7/dist-packages\n",
            "Requires: pandas, requests, lxml\n",
            "Required-by: \n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import pandas_datareader as data\n",
        "import datetime as dt\n",
        "company = 'AAPL' # change ticker here to select different stock\n",
        "first_day = dt.datetime(2012, 1, 1)\n",
        "last_day = dt.datetime(2021, 1, 1)\n",
        "stock = data.DataReader(company, 'yahoo', first_day, last_day)"
      ],
      "metadata": {
        "id": "VH4sjV88ij_E"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "stock['Close']"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Dc2U0fw2HRJ7",
        "outputId": "ed271db2-5a3f-48f1-bbb5-48df90aab68f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Date\n",
              "2012-01-03     14.686786\n",
              "2012-01-04     14.765714\n",
              "2012-01-05     14.929643\n",
              "2012-01-06     15.085714\n",
              "2012-01-09     15.061786\n",
              "                 ...    \n",
              "2020-12-24    131.970001\n",
              "2020-12-28    136.690002\n",
              "2020-12-29    134.869995\n",
              "2020-12-30    133.720001\n",
              "2020-12-31    132.690002\n",
              "Name: Close, Length: 2265, dtype: float64"
            ]
          },
          "metadata": {},
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "stock['Close'].describe()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "VfxKtGdzD2QY",
        "outputId": "eb346e27-b028-4469-cd9a-b7eba761ad95"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "count    2265.000000\n",
              "mean       38.814736\n",
              "std        24.448116\n",
              "min        13.947500\n",
              "25%        22.670000\n",
              "50%        29.817499\n",
              "75%        46.529999\n",
              "max       136.690002\n",
              "Name: Close, dtype: float64"
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install pmdarima"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fcEtXrpaYGka",
        "outputId": "e9aa7295-ff9a-4794-9494-1c66d606dea9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting pmdarima\n",
            "  Downloading pmdarima-1.8.5-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.manylinux_2_24_x86_64.whl (1.4 MB)\n",
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            "\u001b[?25hRequirement already satisfied: joblib>=0.11 in /usr/local/lib/python3.7/dist-packages (from pmdarima) (1.1.0)\n",
            "Requirement already satisfied: Cython!=0.29.18,>=0.29 in /usr/local/lib/python3.7/dist-packages (from pmdarima) (0.29.28)\n",
            "Requirement already satisfied: scikit-learn>=0.22 in /usr/local/lib/python3.7/dist-packages (from pmdarima) (1.0.2)\n",
            "Requirement already satisfied: scipy>=1.3.2 in /usr/local/lib/python3.7/dist-packages (from pmdarima) (1.4.1)\n",
            "Requirement already satisfied: setuptools!=50.0.0,>=38.6.0 in /usr/local/lib/python3.7/dist-packages (from pmdarima) (57.4.0)\n",
            "Requirement already satisfied: numpy>=1.19.3 in /usr/local/lib/python3.7/dist-packages (from pmdarima) (1.21.5)\n",
            "Collecting statsmodels!=0.12.0,>=0.11\n",
            "  Downloading statsmodels-0.13.2-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (9.8 MB)\n",
            "\u001b[K     |████████████████████████████████| 9.8 MB 24.2 MB/s \n",
            "\u001b[?25hRequirement already satisfied: urllib3 in /usr/local/lib/python3.7/dist-packages (from pmdarima) (1.24.3)\n",
            "Requirement already satisfied: pandas>=0.19 in /usr/local/lib/python3.7/dist-packages (from pmdarima) (1.3.5)\n",
            "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.19->pmdarima) (2.8.2)\n",
            "Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.19->pmdarima) (2018.9)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.7.3->pandas>=0.19->pmdarima) (1.15.0)\n",
            "Requirement already satisfied: threadpoolctl>=2.0.0 in /usr/local/lib/python3.7/dist-packages (from scikit-learn>=0.22->pmdarima) (3.1.0)\n",
            "Requirement already satisfied: patsy>=0.5.2 in /usr/local/lib/python3.7/dist-packages (from statsmodels!=0.12.0,>=0.11->pmdarima) (0.5.2)\n",
            "Requirement already satisfied: packaging>=21.3 in /usr/local/lib/python3.7/dist-packages (from statsmodels!=0.12.0,>=0.11->pmdarima) (21.3)\n",
            "Requirement already satisfied: pyparsing!=3.0.5,>=2.0.2 in /usr/local/lib/python3.7/dist-packages (from packaging>=21.3->statsmodels!=0.12.0,>=0.11->pmdarima) (3.0.7)\n",
            "Installing collected packages: statsmodels, pmdarima\n",
            "  Attempting uninstall: statsmodels\n",
            "    Found existing installation: statsmodels 0.10.2\n",
            "    Uninstalling statsmodels-0.10.2:\n",
            "      Successfully uninstalled statsmodels-0.10.2\n",
            "Successfully installed pmdarima-1.8.5 statsmodels-0.13.2\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from pmdarima.arima import ADFTest\n",
        "stationarity_test = ADFTest(alpha = 0.05)\n",
        "stationarity_test.should_diff(stock['Close'])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "FXMGdaDjYCji",
        "outputId": "ffafa5f8-857e-430e-eea2-297e4834c7fa"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.99, True)"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "stock['Close'].diff().dropna()"
      ],
      "metadata": {
        "id": "uSWosfzTWyhJ"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "stationarity_test.should_diff(stock['Close'].diff().dropna())"
      ],
      "metadata": {
        "id": "oxzDcmfD1xqI",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "49d6dda8-4f7c-46cf-8064-42b7d080d63d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.01, False)"
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "first_difference = stock['Close'].diff().dropna()\n",
        "first_difference.describe()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1paaPRx_dcH3",
        "outputId": "4cf4b7d4-6f59-4759-9ea5-c5c64e3ad36b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "count    2264.000000\n",
              "mean        0.052122\n",
              "std         1.004468\n",
              "min       -10.519997\n",
              "25%        -0.208125\n",
              "50%         0.024107\n",
              "75%         0.315001\n",
              "max        10.070000\n",
              "Name: Close, dtype: float64"
            ]
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "plt.hist(first_difference, bins=20)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "7OB9vxx1d4DG",
        "outputId": "df479e07-aeec-45f5-95d1-f8cf6402c40e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import jarque_bera\n",
        "print('p-value:', jarque_bera(first_difference)[1])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "sQbxUypggFvY",
        "outputId": "8e6b56a7-c3c9-4a1a-8987-7f62f24d44f8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "p-value: 0.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "ARIMA"
      ],
      "metadata": {
        "id": "ukI0HtZNvhSc"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from pmdarima.arima import auto_arima \n",
        "best_model = auto_arima(stock['Close'],\n",
        "                        test='adf',                               \n",
        "                        seasonal=False,   \n",
        "                        trace=True,\n",
        "                        stepwise=False)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "I5bp00GTveV_",
        "outputId": "bfd9f33a-cf06-4af8-bd1a-bdd508560d32"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            " ARIMA(0,1,0)(0,0,0)[0] intercept   : AIC=6448.137, Time=0.15 sec\n",
            " ARIMA(0,1,1)(0,0,0)[0] intercept   : AIC=6415.559, Time=0.58 sec\n",
            " ARIMA(0,1,2)(0,0,0)[0] intercept   : AIC=6414.277, Time=0.81 sec\n",
            " ARIMA(0,1,3)(0,0,0)[0] intercept   : AIC=6414.848, Time=1.12 sec\n",
            " ARIMA(0,1,4)(0,0,0)[0] intercept   : AIC=6416.722, Time=1.49 sec\n",
            " ARIMA(0,1,5)(0,0,0)[0] intercept   : AIC=6415.769, Time=1.86 sec\n",
            " ARIMA(1,1,0)(0,0,0)[0] intercept   : AIC=6413.278, Time=0.36 sec\n",
            " ARIMA(1,1,1)(0,0,0)[0] intercept   : AIC=6413.529, Time=1.36 sec\n",
            " ARIMA(1,1,2)(0,0,0)[0] intercept   : AIC=6415.475, Time=3.41 sec\n",
            " ARIMA(1,1,3)(0,0,0)[0] intercept   : AIC=6416.819, Time=1.86 sec\n",
            " ARIMA(1,1,4)(0,0,0)[0] intercept   : AIC=6415.418, Time=8.33 sec\n",
            " ARIMA(2,1,0)(0,0,0)[0] intercept   : AIC=6413.609, Time=0.69 sec\n",
            " ARIMA(2,1,1)(0,0,0)[0] intercept   : AIC=6415.489, Time=2.16 sec\n",
            " ARIMA(2,1,2)(0,0,0)[0] intercept   : AIC=6417.527, Time=1.76 sec\n",
            " ARIMA(2,1,3)(0,0,0)[0] intercept   : AIC=6333.983, Time=10.34 sec\n",
            " ARIMA(3,1,0)(0,0,0)[0] intercept   : AIC=6415.267, Time=0.80 sec\n",
            " ARIMA(3,1,1)(0,0,0)[0] intercept   : AIC=6417.200, Time=2.77 sec\n",
            " ARIMA(3,1,2)(0,0,0)[0] intercept   : AIC=inf, Time=9.63 sec\n",
            " ARIMA(4,1,0)(0,0,0)[0] intercept   : AIC=6416.697, Time=1.29 sec\n",
            " ARIMA(4,1,1)(0,0,0)[0] intercept   : AIC=6386.169, Time=5.53 sec\n",
            " ARIMA(5,1,0)(0,0,0)[0] intercept   : AIC=6412.243, Time=1.21 sec\n",
            "\n",
            "Best model:  ARIMA(2,1,3)(0,0,0)[0] intercept\n",
            "Total fit time: 57.583 seconds\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "first_full_day = dt.datetime(2012, 1, 1)\n",
        "last_full_day = dt.datetime(2022, 1, 1)\n",
        "full_stock = data.DataReader('AAPL', 'yahoo', first_full_day, last_full_day)"
      ],
      "metadata": {
        "id": "UTZ2DoYvzJAW"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "test_first = dt.datetime(2021, 1, 1)\n",
        "test_last = dt.datetime(2022, 1, 1)\n",
        "\n",
        "test_stock = data.DataReader(company, 'yahoo', test_first, test_last)\n",
        "test_stock_prices = test_stock['Close'].values"
      ],
      "metadata": {
        "id": "yvr-_F_8zmg6"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "from statsmodels.tsa.api import ARIMA\n",
        "\n",
        "x = 2265\n",
        "arima_predictions = []\n",
        "for observation in test_stock_prices:\n",
        "  mod = ARIMA(full_stock['Close'][0:x], order = (2, 1, 3))\n",
        "  res = mod.fit()\n",
        "  output = res.forecast()\n",
        "  arima_predictions.append(output)\n",
        "  x += 1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Gjzimw5HzWzo",
        "outputId": "4d495b47-fe9b-40ba-c878-a932bda9ef9b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/statespace/sarimax.py:966: UserWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n",
            "  warn('Non-stationary starting autoregressive parameters'\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/statespace/sarimax.py:978: UserWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n",
            "  warn('Non-invertible starting MA parameters found.'\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/base/model.py:606: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
            "  ConvergenceWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:843: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
            "  data=self.data,\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(test_stock_prices, color='green', label='Real data')\n",
        "plt.plot(arima_predictions, color ='black', label='ARIMA Prediction')\n",
        "plt.title(f'{company} Price')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Share Price')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "E8HTzwls4zUm",
        "outputId": "20492d46-a06b-4ff8-fcd5-05546b17241c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "arima_residual = []\n",
        "i = 0\n",
        "for value in test_stock_prices:\n",
        "  arima_residual.append(value - arima_predictions[i])\n",
        "  i += 1\n",
        "plt.plot(arima_residual, color='red', label='Error')\n",
        "plt.title(f'{company} Price')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Share Price')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "j0JM4_8Q6HAQ",
        "outputId": "6862076e-eee2-4e30-98b5-dd77ff1a2765"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import pandas as pd\n",
        "arima_residual_joined = [x for l in arima_residual for x in l]\n",
        "pd.DataFrame(arima_residual_joined, columns=[\"Residual\"]).describe()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 300
        },
        "id": "tZ7epRhr9hn2",
        "outputId": "81c1713c-06db-409e-a42f-2acebe1371b0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-3d538673-cd1e-4727-bba5-b266c40ebae5\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Residual</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>252.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>0.186529</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>2.240197</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>-6.790964</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>-1.104357</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>0.102480</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>1.672870</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>6.729006</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
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              "              title=\"Convert this dataframe to an interactive table.\"\n",
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              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
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              "\n",
              "    .colab-df-convert:hover {\n",
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              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
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              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
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              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
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              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-3d538673-cd1e-4727-bba5-b266c40ebae5');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
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              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "         Residual\n",
              "count  252.000000\n",
              "mean     0.186529\n",
              "std      2.240197\n",
              "min     -6.790964\n",
              "25%     -1.104357\n",
              "50%      0.102480\n",
              "75%      1.672870\n",
              "max      6.729006"
            ]
          },
          "metadata": {},
          "execution_count": 65
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.metrics import r2_score\n",
        "r2_score(test_stock_prices, arima_predictions)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "mBo6nfAy_c19",
        "outputId": "9a1b5487-898c-443e-8d3e-bd0e83fd20e3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.9764851770813001"
            ]
          },
          "metadata": {},
          "execution_count": 58
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**LSTM**"
      ],
      "metadata": {
        "id": "zs_qiMukQ4pI"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from sklearn.preprocessing import MinMaxScaler\n",
        "scaler = MinMaxScaler(feature_range=(0,1))\n",
        "scaled_stock = scaler.fit_transform(stock['Close'].values.reshape(-1,1))\n",
        "prediction_days = 90\n",
        "x_train = []\n",
        "y_train = []\n",
        "for x in range(prediction_days, len(scaled_stock)):\n",
        "  x_train.append(scaled_stock[x-prediction_days:x, 0])\n",
        "  y_train.append(scaled_stock[x, 0])\n",
        "\n",
        "x_train, y_train = np.array(x_train), np.array(y_train)\n",
        "x_train = np.reshape(x_train, (x_train.shape[0], x_train.shape[1], 1))"
      ],
      "metadata": {
        "id": "Ik99Hg3VrVDm"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "from tensorflow.keras.models import Sequential\n",
        "from tensorflow.keras.layers import Dense, Dropout, LSTM\n",
        "model = Sequential()\n",
        "model.add(LSTM(units=64, return_sequences=True, input_shape=(x_train.shape[1], 1)))\n",
        "model.add(Dropout(0.2))\n",
        "model.add(LSTM(units=64, return_sequences=True))\n",
        "model.add(Dropout(0.2))\n",
        "model.add(LSTM(units=64))\n",
        "model.add(Dropout(0.2))\n",
        "model.add(Dense(units=1))\n",
        "model.compile(optimizer='adam', loss='mean_squared_error')\n",
        "model.fit(x_train, y_train, epochs=32, batch_size=32)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "s0SVtRLMx-R6",
        "outputId": "9a85012e-471f-4bad-c43c-9a94c5525ece"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/32\n",
            "68/68 [==============================] - 12s 64ms/step - loss: 0.0060\n",
            "Epoch 2/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 0.0013\n",
            "Epoch 3/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 0.0012\n",
            "Epoch 4/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 0.0012\n",
            "Epoch 5/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 0.0010\n",
            "Epoch 6/32\n",
            "68/68 [==============================] - 4s 65ms/step - loss: 0.0011\n",
            "Epoch 7/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 0.0010\n",
            "Epoch 8/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 0.0011\n",
            "Epoch 9/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 0.0011\n",
            "Epoch 10/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 0.0010\n",
            "Epoch 11/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 9.6741e-04\n",
            "Epoch 12/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 8.5085e-04\n",
            "Epoch 13/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 8.3619e-04\n",
            "Epoch 14/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 9.7758e-04\n",
            "Epoch 15/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 7.2819e-04\n",
            "Epoch 16/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 7.1098e-04\n",
            "Epoch 17/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 7.5698e-04\n",
            "Epoch 18/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 6.4233e-04\n",
            "Epoch 19/32\n",
            "68/68 [==============================] - 4s 65ms/step - loss: 6.5239e-04\n",
            "Epoch 20/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 5.8671e-04\n",
            "Epoch 21/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 6.6074e-04\n",
            "Epoch 22/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 7.1539e-04\n",
            "Epoch 23/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 6.2744e-04\n",
            "Epoch 24/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 7.3906e-04\n",
            "Epoch 25/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 6.3308e-04\n",
            "Epoch 26/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 6.9170e-04\n",
            "Epoch 27/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 6.7089e-04\n",
            "Epoch 28/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 5.5198e-04\n",
            "Epoch 29/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 6.0889e-04\n",
            "Epoch 30/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 5.3612e-04\n",
            "Epoch 31/32\n",
            "68/68 [==============================] - 4s 64ms/step - loss: 6.4638e-04\n",
            "Epoch 32/32\n",
            "68/68 [==============================] - 4s 65ms/step - loss: 5.4322e-04\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<keras.callbacks.History at 0x7f9ab47e5a90>"
            ]
          },
          "metadata": {},
          "execution_count": 62
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model_inputs = full_stock[len(full_stock) - len(test_stock) - prediction_days:].values\n",
        "model_inputs = model_inputs.reshape(-1,1)\n",
        "model_inputs = scaler.transform(model_inputs)\n",
        "\n",
        "x_test = []\n",
        "\n",
        "for x in range(prediction_days, len(model_inputs)):\n",
        "  x_test.append(model_inputs[x-prediction_days:x, 0])\n",
        "\n",
        "x_test = np.array(x_test)\n",
        "x_test = np.reshape(x_test, (x_test.shape[0], x_test.shape[1], 1))\n",
        "predicted_prices = model.predict(x_test)\n",
        "predicted_prices = scaler.inverse_transform(predicted_prices)"
      ],
      "metadata": {
        "id": "EJy-ax3A3Q6N"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(test_stock_prices, color='green', label='Real data')\n",
        "plt.plot(predicted_prices, color ='red', label='LSTM Prediction')\n",
        "plt.title(f'{company} Price')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Share Price')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "EuY-UhMrC_QI",
        "outputId": "ca1c9780-919c-4fe3-913c-277e1d8a8e06"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "lstm_residual = []\n",
        "i = 0\n",
        "for value in test_stock_prices:\n",
        "  lstm_residual.append(value - predicted_prices[i])\n",
        "  i += 1\n",
        "plt.plot(lstm_residual, color='red', label='LSTM Residual')\n",
        "\n",
        "plt.title(f'{company} Price')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Share Price')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "v7-D9N9QRTdC",
        "outputId": "92a15f79-8323-435a-8e8e-34b7c0a06257"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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O3T17+DVDhvBcvVOnFq7jN8Y8C6Cw1dKO66vwK0rxI/H9sMKfyPEnE36pzCnhpb32KlzhT8AlRPRaLBQ00u9FRHQRES0loqWtra3ZbJ+DOn5FKS1E+BsbOeyycWOw96Xj+KUyZ20tL8ePB7ZsCbbdFMm28N8EYB8AcwFsAvAzvxcaY24xxsw3xswfO3ZsttoXjzj+sjLN6lGUUkCEf/x4oKEhuAAnc/x/+ANw0kne73U7/vp6J6kkIrIq/MaYFmPMHmPMAIDfATgkm9sPjTj+KVPU8StKKbB9Oy/r64Fx44ILfzLH/8ILwFNPeb9XHL8I//Dh3I6BgXBtD0FWhZ+IJlgPPwNgpd9r8wIR/r33VuFXlFLAFuGGBs7wCUKydM6eHi794oU4fgn11NdzyQY5CUVARVQfTET3AFgAYAwRNQO4CsACIpoLwAB4H8DFUW0/I3R0AOXl3Mu+Zk2uW6MoStTYYZdMhnp27vSfe9ft+OvrednV5dzPMJEJvzHmTI/Vv49qe5HQ2QmMGAGMHq2OX1FKgZ4eoLISqKjgUE9Hx+AJVrzwCvWUl/Nt927+3IEBvpW5Ai1eMX4g0ji/jtxNREcHC/+oUVydM8gIPEVRChcZSAWw4weAIFmFXo4fYDHv6XFcvVe4RzqUZXvDh/PSHkCaYVT4E9HZydOhjYxlnarrV5TiRqpkAo4QBwn3eDl+gEfh7tjhuHqvcM977/FSCrTZoZ6IUOFPhIR6hg3jx1qTX1GKG9vxjxvHyyDC7+f4RfgTOf733uOZt2pq+LEKf45pbeX4vhwI8uMpilKcSLE0wHH8QTJ7vLJ6gODCP22a81hj/DnEGK7MN2mSCr+ilApSHhnIXKinpyd5qMdL+NXx54CODv6xJk9W4VeUUsF2/MOGcfglTKinsjJ+fTLH39fH9YBs4a+t5WwgFf4cIMWZbOHXGL+iFDd25y5R8EFcMtE6Ufx6t/C7Hf+6dZzi2djorCPizB4V/hxgC//QoXxfHb+iFDd25y4QXPh7ewfH9wHWju5uYNcufux2/JLRYzt+IPJ6PZEN4Cp4ZOadyZO5Xjagwq8oxY7t+AFgwoRgk6KI43czdGj8xOlhhF8dfw5obuZLrvHjNcavKKWC2/FPnBisNHMix28LuDvUI589eXL8ehX+HNHczKJfWanCryilgtvxT5zIad3JRu3v3u0v/DZux79jB2+vwhV80Rh/jmhuds7CciCo8CtKceN2/JMm8XLTJmfdn/8MvPpq/Pv86vm4hd/t+O30UZuIHb/G+P1obgb235/vl5fz2VyzehSleNmzh5272/EDHJKRkgqnncZLY5zXper4Ewm/DuDKATJ4S6itVcevePPuu8Djj+e6FUq6SOaNO8YPJI/z+3XuukXdS/jtE40gjt8+uWQQFX4vdu7kL32CNW+MjMBTFDf//d/AmV5VyJWCwl0XH3DMn2T52dgzZCXq3LVxh3rcoSVh+HB+rYz4zTAq/F7Il23/aOr4FT82bOCCfhG5MyVLuGfCArhWV2Wl4/jt39hO88x0qGf0aF62tQVre0hU+L2QSz6plgeo8Cv+bNzI8WE5bpTCxMvxE8WndNrZPW+95dwP2rkbVPjDFIhLARV+L6Tgkgq/EgTJ+IiwM07JAl6OH+Bwj4R6RBsA4M03nftBHX/QrB4pCa3Cn0X8HL9m9Shu+vqcIl4RTo6tZAH3FIiC7fjtq7ooHb8Kfw7QUI8SFPuPqcJf2Mj/2y3EtvBH4fi9snpU+HOACj9jjFOnSPHGTvPTUE9h4+f46+qc/77t+O3O3Uw7/tpa3m6uhJ+IxhHR74nokdjjmUT0xUhaky94CX8ppnNefz0wa1auW5Hf2CM61fEXNn6Ov6qKnboxjuOfPDlelFPN6vFL5wTY9efQ8d8B4DEAsZEMeBvApZG0Jl9Qx8+88gqwZo2mKSaiGIV/9WrgyitL73f3c/wyuUpfn6MNe+3F5Zal389P+N2ibod6BgbyWvjHGGPuAzAAAMaYfgDFff2vws+sX8+hnmQFqkqZYgz13HsvcPXVXJyslPBz/CL8vb2ONkydyksRZr9QT3k564h8pu34vUYK2+RY+HcQ0WgABgCI6DAA0VUPygf8hH/37tKKectkNJrN5M+mTc7lvNvx79zJJ898ZfNm4JFHvNcDxXMiC4qf4xdB7+tzQj1St6elxQkBeTl+gI+P4cOdzxD8TjRCjoX/mwAWA9iHiP4J4C4AX4ukNfmCn/ADpeP69+xxcpdV+P3ZuBHYd1++7xb+G28EDjwwfmh/PnHzzcCJJw6+ohOxibA6ZCiMAX7+82AToqSD1wAuwD/UA/B3tWcPt9HL8QPxwm+Hevy2J4wbxyN33f0CGSCp8BtjlgP4KIAjAFwMYJYx5rWMtySfUOFn16czjyVn40bu6KurG+yQm5u5lEN7e27alozubj4puUM6Ivz54vhbWoDLLgN+8pNot7NzJ4u8uza+CHpvr7fjl3VROH4gkpBbkKyerwKoM8a8boxZCaCOiP4z4y3JJ1T440MU6vj9Wb+e473Dhw92/CKcEV2up40c5zIATcg3xy+hpwcfjPbqyS+n3svxT5nCy5YW5//hJ+BDh/KtrMzb8ScT/giOnyChnguNMZ3ywBjTAeDCjLckn/BL5wRKR/glvg+o8PuxYwdfik+dCgwbNlj45XGhCb8Ibb4Iv3x/mzYBL78c3Xb8cuq9HH9dHTBqVLzwu1M3hW98A/jP/+QTiO34/UpECDkW/nIiInlAROUAfIJZRYL8IeyYnTp+xY18R1OmsPC7QyPyWIQ0anbtCifWXsK/a5fT7nwK9QgPPhjddrq6uA6+Gy/HX1PjdL7K/6Ouzvtzzz4bOOMMDiGFCfXMmsX7O29e+H1JQhDhfxTAvUS0kIgWArgntq542bWLf1jnfFfawl8q+xwW6Wz0C/Vk2/F/97vAMccEf72X8NttzRfHL+074AAeWxIVfsLv5fi9hN/P8QuVleFCPSNGAJ/+tFOpM4MEEf7vAHgKwFditycB/FfGW5JPiPDbyI9TKu63udk54Etln8NiC79XqCfbMf4334wvHJaMZMKfT46/pgb48Ifj6+Nkmq4uFls3Xo6/upqFf/Nm7iQHggm/l+P3y+qJkCBZPQPGmJuMMafFbjcbY4o7md1L+OXHiWhGnLxj/XonTVGF35u1a7nDbuJEJ9Tz5z87x0i2hV/cZ9Dfy0v47bBUvjj+lhZ2vQccwHH+qNrV2Zk41GMP4BLhD+P4w4Z6IsRX+InovthyBRG95r4l+2Aiuo2IthDRSmvdKCJ6nIhWx5YjM7MbGcZL+O2zfimwfr0z2byGerxZt45Fv7KSQz3vv88Tcf/1r/y8XAFkK8YvJ5ig6X+JHP+QIfkl/OPGATNm8OMwVzVhSBbqkQFclZV8wh83jn9jmSXLL8YvhA31REgix/+N2PJEACd53JJxB4DjXeu+C+BJY8x0cMjou2EamzVKXfj7+9lZifCr4/dm3Tpn6P6wYc76lhZOO8xmjH9gwBHwoNtzC/+f/gTccw/f33ff/Ar12MIfVbgnWahHHL9og7xWynYUg+M3xmyKZfDcYYxZ674l+2BjzLMA3CNXTgFwZ+z+nQA+nWrDI6XUhX/TJhaSadPY7ezYATz3XHwtciVe+GWADgBs3Rp/ssyG8Le3OwPu3OmZftjC39kJnHsu8NRTvG7s2Pxx/Fu2sPDvsw+Lp5fjb2sDXn899W309bEQB3H8MlBLXhtU+N2OX0KCbq3JAglj/LFY/gAReXwbKTHOGCPlDDcDGOf3QiK6iIiWEtHS1mwXi0ok/KVQsMxOUxw6FFi1Cjj6aOAvf8ltu/IJY/h7koE8tki2tTluefRoFq6oyzbYYh9W+FtaOG1Qju1581jU8sHxy5XMuHH8H9xnH2/Hf+21wMc/nvp25PcLks4p2iAneyltkkrn7pAhHDbKMkG22A1gRawm/41yS3fDxhiDWOE3n+dvMcbMN8bMHzt2bLqbC8euXYOHX9tn/WJHhH/yZD6Y336bH+dr6YFcsG0bHwvjx/NjOQEALPwS5pk+nV1eR4f/Z736KvDuu+m1x76qCCv8u3cDv/sdX+H19gLPPsuilg+OX65kZDDTjBnewt/WxldaqdIZG6PqFepxp3N6Of7KSv9aPYJXqCcHGT1AMOH/C4AfAngWwDLrlgotRDQBAGLLgEdolin1UI/t+GtrudMSKJ2MpiDISXDUKF5+5Stcx/6II1iAxC1Pn85Lvw7e7duBuXOBj340vfbYwh8mxi8dki+8AHz2s3ycDx3KopYPwi/7IsI/caL3/vX08H8z1SvyVBy/LfzJ3L58jrtzNwfxfSCJ8BPRpwGMBbDZGHOnfUtxe4sBnBu7fy6Ah1L8nGgpdeFvbmZBqK/nA1qcoWb3OIjwj4wlppWXc4fomDHxoR7pA/AT0Ztu4mWiK4IgiBiOGBHO8R96KB/b554LfOc7znMyIC3XlUVlv2QQ0+jR/F25y6PLsSk59WFJJPxux+8W/s2bgwm/l+PPN+Enot8AuAzAaABXE9EPw3wwEd0D4AUA+xNRc2y6xmsBfJyIVgM4NvY4/yh14ZfYNVH8Aa2O38Ht+IXRo+NDPRNjE9d5CdKePcDPfsb3JYMqVVpaWFhmzAgv/L29wB13xIc56uu5HyNVIc0UMsOZfI+jR/PJqLMz/nXSmZ5qexOFetyO3x3q2bMndcefo1BPRYLnjgZwkDFmDxHVAngOwNVBP9gYc6bPUwtDtC83eAm/lGotJeEH4g9odfwOiYTfDvWIYHlNy9je7oh0uh2pMshp/HjgnXeSv76/n29+GSXScbltW3zGUraRjBn5HseM4WVbG3/XQrYcv1fnLpA8hx9g4bcna9+1K/8cP4BeGaFrjOkBQAleW1x4CT/R4Eu1YqW5mTt2gfgDUx2/g4Rm3MI/ZgyHAySmn8jxy8mjri79+XpF+Bsagjl+u+aMFyKAuY7zb9zI34+MkxCxl0FTQqaEP5njtzt3y8sdwU8l1LNzZ05SOYHEjn+GNUKXwDNwvRa7b4wxB0beulzhJfzA4HSsYqS7m0Vr2jR+rI7fG3eMXxBheu89XiYSfhGvadN4UvtUaWoC3ngD2G8/Fv7WVg4/lJf7v8er9LhNPgm/fIdAdMIvoR57IJ7gN4AL4O+puzu1UM+uXd7bywKJhP+ArLUi30gk/MWex79iBcd2D4yd1zXG7017O18NuY8TW/irqpzHXo5exKuxkb/3vj5HZILS08PFywDgkkvYVQ4M8BWJhEW8CCr87lh6tsmW8Hd1sQh7nSz9HD/A39OGDak5fj+dyQKJRu4OGq0bZuRuwTIwwOLu9YNUVRW/43/1VV56Cb86fof29sFhHsAR2/feYyGpqeEBOolCPXJ1lUq4p7OTXeSNNwLf/KbzeyU7SScTfjuWnkvcwi/tcufsZ0L4vcI8AJ8Mysr8HT8QPMbvFv48zuMvLRLFPos51LNjB/Dkkyz89fXOnKIa4/emvX1wmAdwHOn773PnH5F3yWYg3vEDqXXwSjaLdDTKcWt3InoRVPjTGRSVLsaw8E+a5KwbPpydcxShHq+OXUFMn53OCTjvSTXUk4cx/tIk0R+imIX/F78Avv993sfDDnMmoVHH701HR2LH39fnxG/r6vwdf3m505GeiuOXzxXHmSnhr6/ntuVS+Ds6uJ224yfi790W/v5+JwSbjuNPJPzy33eP6g8j/HnUuRvI8RPRECJKM9G4QChV4Zf96usDDjrIWS8HNFFxCf/dd6dXJsEv1GOvk/kM/IS/rY1fL+KRiuOPSvjLypzU1FzhTuUUZKyEYB+X9vf8zDPAowEnCwzi+BOFegrM8ScVfiI6CUATYtMtEtFcIlocdcNyRqkLPxAv/BLqmTixeEI9AwPAOecAv/lN6p/hJ/wVFZxdM28ecOutvM4v1COfYefMh8U9+5Mct8kqqSYTfoCvXvJR+N3tsoXf/p5/+EPg4ouDbctOYfZCEjt6e70df5AYfyF07losAnAIgE4AMMY0AZgWYZtyS6EKf1sbMHs28FrSOXK82baND+hFi4D/+A9nvRQhmzGjeBx/dzeLvwhLKvgJPwCsXAksXer0ASRy/KNHp0nvkoMAACAASURBVCf87om+M+X4gdSFf8kSru2fLuk6/s2buXT22iS5KD09PPZB+rW8qKpyPjsdxy/60d/PKbd53LnbZ4xxJ/P6VtUseApV+JuauB75Cy+k9v7t27kQ1lVXxXdafvKTfDKZPbt4HL+4QikHEIYVK4DLL+fjxE/4KyudPhKAHX+iUE8mHH8Uwj92bHjh7+0FjjsOONNv4H4IpNzxhAnx68MIP8BzSST6PuTEIJ3sXlRWOsdNqjF+O9QT5PuPkCDC/zoRnQWgnIimE9EvAfwr4nbljkIVfqmgGbROi5tt27wHk5SVAXPmsDMpFsefTPj/8heuXeOmqws45RSnvo6f8LvxG5nb3h7v+NPp3HWHenLl+O+/P9zrE7FmDYu+2xWL8JuY//QS/h07nO9z0SL+jv0Gycl/J6jwp+r47VBPAQj/1wDMArAbwP8C6AJwaZSNyimJfhDp4MlHxLWkOtvT9u2JRxHW1vJBa3dOFSrirP1CPdddB/zoR4PX//jHHDoQgv5pk3XuilvPx1BPW1u4Cp2//rVzP90Z21avdspau9vV2+sIsZfwy/+grIxrF/X18VWxF0GEv6rKGcWciTz+HM6+BSQvy1wO4B/GmO8bYz4cu/3AGJPkqCpgCt3xpyr8yYpxiesqhnCPCMb27Sycu3axUxUH+d57fCJ1X+E0NfEo2Rde4DDIIYcE255X5+7u3bzt0aNZnOrqvIV/xYp4MXXT3c3vl+PVS/iXLQO+/GU+cUk546DCv2dPuLINK1c6x0q6HcOrV3NHuRspdS3HvJz8pHwC4IR5zjrLSVbwc/xr17KwS3+WF5WVzoA72yAdeCC38YAAhQ4qKvj7NCa/HX8EUy/mP4Uq/Nlw/EBxCT/A4Z577gHOOIPnct25k0XDGBYem+Zmrlp62GEcUpPJv5NRV8fiZDtnd3XP4cO9hf+cc7gUwxtveH+21ImRPgUv4b/lFuDmm7n/ZuXK+OeTCT8QXMB37eLvdtYsfpxq2BHgk82WLd6O3z3pupygGxoGC//ll/MJu6HBv2rp++/zySTRFIhVVU6/gm2QGhv5uLFnYPNDSj/09+e38MeIZOrFvKVQhT9bjv+3vwV+/vPUtpEvuIVfRLW1NT4DxJ7izz3HbhgkDGBfQYjwy0hfmfjEjUw7Kqmhbrq748MM0vFoC78twM3N8c9nUvhlbmwR/nTmypaTrpfwT5/OJ7ogwi8uft99E8f4E4V5AP7vy5VFqoXVvIQ/j7N6Mjn1Yv5TiMLf1+f8oaN2/L/8JdeFKWRsZ71xoyMgHR1OVU2AnZzQ0cFXA4lyvf2Q79UWdnGPyRy/iMXttwMXXhjfxwCwGNnC7+X4W1sdAbWFv6zMmWfCi1SFf+bM+MeJ2LrVux5QIuGvreXUy2TCX1bm7EO6wm/Pp5uq8NtzeuTY8Sct2ZDGNIuFSSEK/4YNHEZobOSDOOzAEGNYlII4/q1beZRjsrK/+Yzb8YvAt7c7IlJXF+/47XmIwyLCbHfwipiKox82zFv4pQpoeTm7/pkzgcsuc553O/6KCn6tW/gPPJBDHbbwV1fHp526CSv8cmURxvF//vN8Un3ppfi2iPDvs4/3++xJ1+U3GzcuXvgbGpxjdJ99gLvuAp54Ath7b74B/N9pafHfjmBXTU3X8ff15XfnLgDEUjgfIKI3iOhduWWjcTkh3SJtTU1c88ZkcaiDhHkOPZSXYS+xe3r4xBHE8QN8qZrO4Kdcs307C0J1NYd2pHRDezs7/upq4CMfiRd+EcxUHL8Is33Ckd9IxNXP8be3AyedxK+vq4u/IgG8a8HX1AwW/vHjOTVScuODmANpW9DjSV43fTqfgILE+N97D3jlFR7wZrN6NZ9k/UIhM2bwCXvtWqd09NixvF/9/Sz8dmetlM/4+Md5Unnh5pv5hHPGGYnbaTv+VGckE8dfIDH+2wHcBKAfwMcA3AXgj1E2Kqek6/h/8hPgmmtSD7mkgrhRqcsedtsiSIkOaPcUcXKyKUQkrDV+PPD8806mi4R6Ghs5S+Ott5wO2XQcv5xQvRx/EOEfNYrFae+9Bwu/O9QDxAt/Xx/v19ixXOXSdvzJREdOKEHHb4jwNzTw9oKcMOTk8Nvfxq/fvDm+KqcbGUne2Aj8n//DwixllXfsGCz8tqOXTtzeXuB3v+NBinIF4EemHX8BCP8QY8yTAChWi38RgE9F26wcIj+IPTpPSDYRS18f8MgjfP/tt1Nvw+LFPPox6FWDOB7Jdggr/CI4iQ5ot/NKNgw+n5GO7MZGYPlyZ704/sZGR1hEKJub+SohUcqfH16hntZW/r7tibvdk54Yw6ItI6mnTfN2/ImEX+LnY8fy1UoYx0/Egho0H3/LFv6P1NcHE/7eXs7eqarizCr7CqG7O/HxKP0IQm1t/PfsFv4ZM5zPk+Urr/DrLrgg+b6J46+uDj9ZjuAl/HncububiMoArCaiS4joMwACjFYoUBLFPpNNxPL8807Os90xGJaXXuJ6J0FLzMrr5HJWHX9ixPFffbWzrqGBRfb991lg3SmD69dzzZhU+jW8One3bo2fIWvkSD4hydWHvH7PHqcDWITfNgTJQj0iviL8YRw/EE74W1t5O0S8TBbqkbZdcgm35/rrneeSJRt85CPAQw85daVqa53vadOmwXX86+t5e5/4hPN/kcyqRDV6BBHtdCaeL7BQzzcA1AL4OoAPAfgCgHOjbFROSfSHSBbqefBB/qNUV6fn+GUbcmAmY/t2PqhkYEvUjp+osB2/iMpRR3H5hRNP5D//+vX8ne+1lyP8cgJPVr0xEV4x/q1bnY5dwHH1tut35/pPm8ZXIbaTTub43cK/bRu3I6jwV1cHH60uwi/bS+b45cRw1FEcd//1rx3jlEz4y8qAk092+rV27XLCOU89xSdMd4dtdXX8YDo57oOIuQh/OnPkynY6O/Nf+I0xrxhjuo0xzcaY840xpxpjXsxG43JCqsL//PPATTcBp5/OnVvpCL+URQg67d327fznHzKE3V/Y6fLkjxC0c3fWrOJw/ABw6aXA3/7G4iqVTadO5SuAESMcxy+Dt1LBa/Bba+tgxw94C78d6gHiwz3JYvwirg0NjgPesIGPEb+pBm2qq8M5/oYGZ3tBhX/sWM7u6e52vu9kwi/IqNz2dkfolyzhpVemjl0+Q04yQYRfQj3pCL8Ys7VrCyKrZz8i+h0RLSGi/ye3bDQuJ6Qq/F/+MseGf/1rHsKdTqgnrOO346HujI4gBHE+4vjr6zm++tprPMereyTvwACX5A3bhmziNVht1Cjne5gyha9q9t+fhUgGb6Xq+L1y6/0cf0eHs07u244fcIRfpgIME+oB+CQWJHcdCFefasuWeMff1ZX4vXZnsMTjW1qc9OIwwg/wbzpmDFfjBLw7bG3hl9870QQsQiYcv3zfknINePclZoEgoZ77ASwH8AMA37ZuxUky4ZdaG242bgROOIEPov3245zpVAuapeL45YAM49Ds9wPBQj0TJvABvGULcMMNwIuui78nnuCSvP/93+HakE28RMUuRS3OTHLFZfBWqo7fb1CVl+O3hd8d6hHhEOF3F2izt2cLv0xXKO1/802OgwcR/rCO3x6XYLfRC/tqRK4UWlp4e/39wQqfjRsX/3ifffj91dWD6/hLu+xQT0VF8L4OIL0Y/4gR/P61a/n3qazM2ViYIMLfb4y5yRjzsjFmmdwib1lU7NwZn562eXN8DZVkwg94u357Ls799+cDN9VwSCqOX/4k1dXROP6yMufPdPHFXPwKiBcqwJkP4Kc/dTJI8oHubqc9XsIv4lpW5gjGjBl8Qn/9dX6cquOvqOCb/C49PXwc2sIvYZdEwl9Xx2148EF20u5a/IJb+EePZoGZOpVP4DIdoVxBJCJo567U6REBl/BWolRQyQIaPtx535Ytzn4FddfXXsv5+IAT3tl7b+/aO3V1/P/q7XWu/BINYhMy4fgB7j8S4c9RRg+QQPiJaBQRjQLwNyL6TyKaIOti6wuT88+PF61p0+JriKci/FJtT94nHYN+hbWSIZ+fTcdfVpb8QKytZVHce2/H0buF/8UXOZa8ezfnSOcD/f3sqPfZh38rr7kHRFwnTHB+Z/kdn3iCl6k6fsAR4zfeAP76V14XNNRjX43ccAOnIX7/+8Edv2ynvJz36f/FIrVBHX+QUI+79lBQ4W9oYOGtqeGr5ZaWYFegNt/5DnDRRXxfhN9vJK6d8plsgnWbTMT4gdRH12eYRI5/GYCl4Ayeb4MnX1lmrS9MVq92Rmq2tPAPYNfwCCL87j9Cfz8LirxPcoylEmJYJNSTquMPK/xBnc+PfuT8wbyEamCAhf+EE7iDe8WKcO1IxDvvcK2aVEpmXHMNf6dSCnlgYPDVjeyPhHkAp/SAjM1I1fEDfGzs3AnMn88dmUCwUE9NTfwJ+bTTgM99jk+q0jmZLMZvn2BmzXL6ZTIZ6nGfhKTNiYTf7gwGOGyTivDbSEqz34AsO7U2WWFCm0ykcwKO49+5Mz+F3xgzzRizd2zpviUZ5pbHtLc7oQ3JoLBrkSQSfjnru8XH3VEzfDj/wKkKf7Ydf9AMj699jVPvAP6Dl5fHC9Xbb/N3evjhfPJL9YrHi8ce41o176ZQLeSWW5z7Eh/3c/y28O+9NwvY0qWpD94SRIztznBbkIcM4eNLvs/WVhZBr1m+Tj6ZRf/pp/lxsqweOw4upqSy0jsG7iZoqEeEX5x+kDLedmcwkBnhD+P4wwh/phz/Xnvxdjdvzk/hJ6IPE9F46/E5RPRQrCxz4YZ6bOEXxxRU+P1CPV45uXPmpO540+ncrakJL/xvv+1dBTERROxS7auSl1/m5aGHssCsXp25GcvkNwt6FSR0dXFsX/K9V63iZRDhLy9nh2xM6oO3BBHjww931tmOX77Pzk4W//3246JiXhxzDC+vvZb7DtyTgNjCv3mzt/BPnRpsf4KGesTZy9VHmFCPkAnhnzePr4hOPNH7+VRDPZmK8ctV1ltv5afwA7gZQC8AENHRAK4F1+npAnBLgvflL/39LCDbtvGfOUrhnz2bsydSEb50O3fDCL8x3M799w/XRoCFynb8ModtYyMLzJ496Y1nsBExCCv8khd+7LG8lI5av1CPO44/Z473+rAMGcLHiX3s2G4X4Kuujg6e71euRt0jpgEWyDlz+LVnnjl4MnIR/t27+XO8hD9Ixy6QvuNPJvz2d9DQwMLv12kdhCFDuPxDVKGeTDh+gOP8+di5C6DcGCP/ss8CuMUY82djzA8B7Bt90yJA/kx79vABGTbU4yf88sewc3Jnz+YTjXsWpyCECfXI8O9UQz2bNvEfLehsUjZu4Zeql0OGOAKTqXCPOP62NuDuu+MrZyZCti/C/8wzvHSHAvbfH/j614FPfzp+vQh/OvF9ID7U85GPAH/4Q3ynLcCP29p4LMhHPsKduA884P15sj/f+pb/tiRd0hZ+CV8lK0omROX4u7v5OTt8Nm4cH09y3Kcrsl64Qz1hO3fTjfHbU0nmqeMvJyKp178QgD1oK2kd/7zEdovbtkUf6gFSC/eE6dx1u6Ow6Zwy0CwTjl+yZWTwU1lZ6sLvHishwt/aCpx7Lme1BGHVKv5ODj+c2/Wvf3G73KGtigrgF7+IzvGLGPf0sNs+++zBrxk5EvjnP7kj+8tf5o5ge4CSzfe+Bzz8sPfzNTVsbiR91Rb+8nIeqXzFFcHaHdRIiMAHdfwyQ5bdNrkv/ThRC39XV/Ydf32981/LU+G/B8AzRPQQgJ0AngMAItoXHO4pPGwh7eqKVvhnzGD3Ix1wYbBDPfYYAy/c8dCwjj/Twi9/JHGVzzyTfB/crFjB4vzUU8462c+332ZRe+SRYOWC33iDXVZ1NQtLXx+7/aAjJg86iN1eKt+PjWT17Nzpf4k/cqTz2x1/fOLPGzuWywn7bQtw6im5BzktXBisMBmQeqgnWVaPe2pEu52SZRel8G/dylcy2e7cBYBDDuFljkbtAomzev4vgG8BuAPAkcZ8YMHKAHwtnY0S0ftEtIKImogoe6mhbscvoZ7ubke8MxXqqaritMYHH2QHHyYNURz/wIB3jXYb92CXsML/5pt8gkpU+9wPr1CP/Uf6ylf4xPejH4X73Fdf5eWvfuWsk+9BriB27uRMn2SsWuWEnWQf3Z2hiRg7lrd53nnB3+OF7fi94vaAE/qZMye+4zeVbQH+wh+GdEM9flk9UkjQT/irquInP8kU8j+RiYSChnrkfen8LoIIf9iaWhkk4chdY8yLxpgHjTE7rHVvG2OWJ3pfQD5mjJlrjJmfgc8Khl+oB+AfwRgWzbB5/H6V9v7jPzjOOmYMcPTRwdtpnySSHRzihMXJhM3qeestdsReoxyTIVko4gncA6Muu4xj5mEnZxfRsMNEsp/SOQv4x7+FlhZO3xShT0X4Ab5CSLUGuyCdu4kcv6TUfvSj6W1LjkMZOZ6O8Ps5/uefdzrzgcw4frm/Zk1qHbtBkPaJ8Ad1/Mcfz1eZ7nkAUkEmTJKigDkghX97AeMX6gH40i/RtItA8jx+9/tOOIEdU1fX4Jo2iejrc4Q4UZz/iiscN52q41+7NnhHn5uRIznsIqLsdvxEwMEH8wkhzBWPiIjdgSuOX64wPvEJ4M9/Tjwf7NVX8/d45pn8WPLWwwp/Jqip4e+nry+541+wIP1tAfzbDh+eXvaIl+Pv7+cpDK+7zlnX08O/t1z1VlTw/yWR8NuToQOcYlpby++JIswD8DaHDnX6P4IKf0VF8vBbUKRfJl0zkQa5En4DYAkRLSOii7xeQEQXEdFSIlraGnYOWT/c8ejOTufL37o1eY3sMKEegA/e3/yGhYYoeKxbSgwA8TXc3fzlL9zBB6SeztnZOTi7JCju0aaJSiG4Szskwi7sZX+2zdVXJy4LsX4912/50pecTIpUHX8mqKlx9sVPiOfOZfH72MfS3xbAwp+O2wec48nubH/vPf6vuB3/0KHxo79FxL3YvJnDaPZYgvJyzoYDohN++WwR/qChnkxSU8NlYp59NvvbjpEr4T/SGDMPwCcBfDU2TiAOY8wtxpj5xpj5Y935zqnS3u44aQn1yICKdIQ/0fsuuAD44hedGjFB6OsLJvz257kdf9BpG8PkMrtxi7pfuWP7NUGwZx5bFqsHaH8PdXUcJ124cPBcrcKKFXwCPdeaM2jBAh7IJeKSTWpqBme+uFm4kMXaa7Ru2G0BmRH+qio+luxKs3IlZl9tefVdJBL+lhbvkdDihqMU/rq68KGeTHPaaU5JkByQE+E3xmyILbcAeBDAIVnZcHu74/ok1CP53FEJP+A9yUYigjp+O1RlCz8QrEOuv5+dWqquR9p4zTXA448nrnrpFbJ67z3u+3A/Zzv+5cv5Ssn+HkQwFiwA1q3zvsKR19v7duSRHHLzE94osY+NqAfuyLa6uzPj+IH440mE374S7+kZXDNoyJDEjj+Xwi/HWK6EP8dkXfiJaCgRDZP7AD4BIMWiNiFpb+fRgbW1TqhH4tuZEH6/9CyvAlyJ6OtzBNNv3t3+/vg/lR3qAYKFe4LMtZsI2a/77+dOXHeMH0gs/E8/zZNm2B22AP8pa2r4ve+/P3isgoxUlfiwVwd4kOkks4kt9lGfeOzjNxOOH4g/nryEf8eO5I5/0yZnXIuf8B94IC+jDvUIuQj15AG5cPzjADxPRK8CeBnAP4wxj2Zly+3tLCb19Sz627ZxGdmRIzMT40/m+MMIfzLHb4d5iJw/XRjhlyuGdB2/fIYx/o5//XrglFPiRzKvX89L9z7KBOJTpvBr5HnJPRfBEOH36uBN96SWabLp+G2xlwySVPE6nuxQj4QU/UI9djrnlVfyMWCMf6hHhD+qrB7ACfPMmpV+WK1AyfoIXGPMuwB8hiNGjEykPXw4d+4Ywyl0Y8ZkJ9QTVPj7+1lIifyF3w7zDB3q9F1IG4IIf5jJpr0YN87J5Rfx9XP8Tz8NLF4MnHqqM2pWhN99VSPzyE6dyqEcaWdjI18dhBH+KAUkDPaxEbXjnz6dw2gjR6bvaN2hHmN4bAQRH2My7ad07tq4HX9zM1+ddXby53ldjdTXAyedBBxxRHrtTsQRR/Do6MWLczYDVq4prXTOjg7+MwwfzoIC8IGWKeH3G3CSiuOvquI/UjLHf/TR8WME3A4tUaw/XcdfXc1/5O99z/lO3MIvJzAZlGWXk/Bz/CIiU6YMFn4guPDX1ubPHzubjh/g7yoTYQx3qGfrVj6OxZlLuCdI567MruVVrsFm8WJn3ocouPlmNoGppjEXAaUl/OJOhg93RCeM8MufwC2mMsen30QmXtPqJaKvj08yw4b5x/hFtH/4Q+Af/3DW28L/2GP8eLnPeLt0HT/A+2xfsrtDPeXlvP9SpTOI8Nuhno6O+KqfwOAYv5/w50t8H8iu488kbscvv5mEkOS7Dyr8AwNOqEVm68o2Q4aknsJcJJSW8ItA19c7YpOpUE+igkvDhg2etCQR/f08YMSeGNqNiLbb1dnCL/Pf3nuv92fIySPdOLhdFtjrs0aNcsYwyHdsjHPV5eX4JdQDOCN4jzgCOP10TnsEHOEoBOHPZuduJnFfQUonvdQuEsfvFeqxs3qMcV4rwp9Pv0+JUTrC39/P4lNVFS9OI0c6wi8dUakIf6KCS0ROrfUg2I4/WYzfLbTSjl27nJGqXjOBtbb6nzzCksjxA/HuSr7jri7naiZRqAdwsn7Gjwfuu885IVRWctsLQfizHerJFO5QjxzDMiguWahn+3Yewf7XvzqfkesceqWEhN8eXStCc9RRnDc8ZgwLpbiZVLJ6kpVYlbo2yRgY4FtFBbvedBy/iKxb+F94geOrUps+G45fEMcvIQMgcagH8J88BXBO2m7yWfgL0fFLqMft+OW79+vcbW/nGje33easV+HPOaUj/HLgVlfztGyjR7N7rKhwYsXNzbzMdKgHGFzJ0g8ZIRnU8ScSfhmksm5d/KCoxx7jS+/nn+cQVLpClMzxhxV+CfVMmsRXSyL8Xp/tJ/xe5SNySbE5/ilT+FhrbWWjsnOnt+MXJOwIaKgnDygd4bcd/3nn8QHrzg5JJvwVsezXsKEeILjwy2cH6dytqBjcVjud0+5Y+/e/nftSI6S5mV2XX6d0UOrqnLTJsI5/1Cj/UE9lJV9N9PdzuqrXd1yIjr+QhN8d4+/o4HW1tVxrp7XV+U0TCb89yE6FP+eUpvAD8WInwv/GGyym7ktWgYif98rqybTjD9K5K6mSNl6OH3DCPb298ZVCMzVyccIEbrOXONvCL+GnDRu47fvtF7+PxjihHgD41Kd46VfgrlCEX8S+ujq1Eti5wivUI7+nfPdynHl17nqxcSOfFCoKcyK/YqB0vnkRfq9cexH+piaOXSYql1pVFW2ox3b8iWL8XV3eou0W/vp6fq1se9my+NGUmYqzTpjArs7r6sHL8Xd2cttGjIgX7t5eLvUsVxA338zi71d0zi38//gHP8434Zfjo5Di+4B3qEc66+W79ys+57evGzeWfDplrik94fcLFwDsKpNNtOAn/H5XCYIIvzGJQytux9/Tw0LoHojkV1XTzurp6eG+jF27nI5libUedRTXycmU45861RmY40YK440Y4Qi/tH/YMB5lKrjdIxEP8/dj7Fg+kUlWyXXX8ajMnp786jwU4S+kMA+Q2PGPHMnhQvckLII8bmjgHH4iPv7DTHmoREIBXXOmid2562bECOfyO4jwe83AlczxjxjBAu4XsxfcMX4gPmQjBHX8tbXxqaSrV/PJQAbgZOoPeM01/uMFTj0VeOklnodYhF/a7w5n+YUN/HAP4nr/faf/QB1/+iRy/GJm3NMuCrKvxx3HS3t6z3z6bUqQ0hH+RI6/rMxxMakIf9AYP5A83OMO9QDxwrh2LTunZ59N7Pilc3fo0PhU0nffBaZNcwqeZcrxT5nCE4l4UVHB9fNlwnEg3vHb++euxJkMSSVdt46vluxsoXwSl0J3/PYALlv4OzuTh3qOOYb/N1OnOgZLHX9OUeEXxDkmm53Jz/EHyeoBkufyu0M9QLwwSllbIJjjHzqUHb9s9733uEaJDILK5h9QJhwH4h1/d7cTww/r+OVk8+9/c4fxnj3Oc/kk/CL4heb43aGejg7HJI0YwceZZOy4f7MZM9hgHHUUG6rGRuc3UeHPKcUf41+/Hvif/3Hmy/QrpDZmDLsRGZHoR6qhnlQcv4iFLfx2x7OXe3Q7/pEjuc1bt7Iovv8+h14y7fiDIBOOA+z4p09nZ2+Mk7sfVvgnTODBaMuWOYXDhHwS/ooKPr4KzfHL/+Xhh/lqbfv2eMcP8FUoMPgqrbHRmfB98WL+jzzzDJ/08+m3KUGKX/j//nfgV79yhM7PmU+ezBk9yf6YlZXRhnqSOX57201Ng99PxH9W2/GXlQFr1nA2RV8fO34peJbNeuR+jh9g119XFz7UQwTMm8eF6Nxz1eaTuBDx/hea46+o4LY//TTfgPjOXcCpz9/Q4P85Mgo70XgPJWsUv/BLp58Irp/w33CDdyeqG7+snqChnlRi/HaHsISsxo3jCce9kHl3JdOlpoZDPe++y89Pm8bt+dvfgMMOS9yeTOIX4wf45DZ+fHjHDwAf+hCwZAkLEBELUEtLfgk/wPtfaI7fNhKC2/G/+SabiyDVNjXUkxeUjvBLjNtPoL1mA/Iim6GeRI7/2Wf9w1LV1dwmcfzDhsULv9QhP/HExG3JNBLq6e3lpe34ZR9TEf558ziM9be/cWG6ffbJT+EfMqTwHD/Art8WfjvGDwBvvcVptUHmPhAzk2+/TYlR/J27QYU/KG7h7+9n0Ukm/FIaId1QT6KBaII4fknnHDmSP3flSnZm0rGbbSTUY88D4N7HsKEegFNTpaZPY6MTxso3cbnxRuCyy3LdivC4r4Tdjn/z5uBz+2qoJy8oHeFPFuoJilv4k2ULNpAfMwAADbBJREFUCWVlwUoz247fnsClq4v/YEG2V13NYZ7eXierB+A4+OTJiUcmR4kIv11gLhOOf/Jk4Prr+X5jI3cal5fnn7iceipw8MG5bkXqSD6+W/iB4MKvoZ68oPRCPYmcchDcwp9s8hYbO63SD9vx19byrbUV+Na3ePrCL3zBaYcfNTXOCUYGcAHAK68Ahx+evJ1RUVPD+yelfb0c/44dTkdoGC69lDN8Zs/mgUJHHVV48fR85/rrgQcecOZMtjPCwjr+fLsaKzFKR/ijcvxhhD9IvR7b8QMcO926lQcobdkS3PGLuMoALoBFNdk4hSgRIW5p4aXt+OWEKNk9qVQM/exnnfsf/Wjq7VS8mTkTuPJK57FdSFBDPQWFhnrC4k7n/PvfeSkTUyQiFeGXQlhbtjgdo0By4Zft2KEeIPnI5CiRk+OWLbwcPpxd+vjxnJUDeE/ooeQvYipU+AuK4hb+nh5nOHlnpzOIJh3sdM6+PuDaa4FDDwWOPjr5e4MIvx3qARzhb2lh4RfHn6ikbU2Nc8KzQz1Abh2/CL/t+MvLgc99jgcIdXSo8OcjTzwRP5GKTVjhlys8DfXklOIWfnvyB5loPV3sUM+SJTwy8YorgoUmUg31bNrEoZvdu539SLS9iROd0Ikd6gHyK9Qjru+ss/g7feABZwSvkj8sXOg/3kNMRVDhHz2aj91sDhxUBlHcMX73BB3pduzKZ4jwy4xd8+cHe69dmvnuu9mNn3pq/Gu8HL9sR4Q/2X5I5xvA25BOuNGj+USSK7wcP8Df38SJPDbBnoRFyX/COv4zzwT23Tf465VIKG7H7xb+TDt+uaII6l5GjuT37tzJo25/9avBr/GK8dts25Z8P+yBXUOHOhO3H3BA+tMspoMd46+qip8NraGB0zw11FNYhBX+IUOChUWVSClu4bdDPUA0wi8lEYIgf5K2Nq6S6TW7VjLh7+pKvh9uxw+w6B91VLB2RoXt+N3F4YYPV+EvREaO5BO3+zhV8prSCPVI8a9MC397e7D6JIII/8qVLPBewu8O9bhDM9u2hQv1iIj+61+5dftAfIzfLfz19ZyyKumcSmFw4YXArFm5GxSopERxO/6tW1nsZOafTAh/ZSWLszHs3MMIv3SELVvGy6gc/4gRzvvE8VdUBKulEiXi+LduHZzOJ3MDq+MvLGbMAC64INetUEJS/MI/cqSTOpapzl2ABbqtLVx2gsRBpbxtEMfvFeMPsh/i+vNJRO2QmJTpFYYP531T4VeUyClu4b/oIuCOO5wQQ6ZCPQCHe8I6/lmzWOCefJIf2zNPCZno3AUc4Q9b+iBK7BIK7rRS2/FrqEdRIqW4hf/AA4GTTnLCHbkW/ooKYMEC57ExzgAzwS38o0bFx+aDhHoA4PTTua5PugPWMol9EnIL//DhzrSJ6vgVJVLySBUiJArHv2tX+M5dADj22PjH27dzeuOYMcBzzzmhHhHsigoOV4kY9vQEC/WceCJw113h2hY1iYTf7uxV4VeUSMmJ8BPR8UT0FhGtIaLvRr7BKBx/WxswMBBe+Bcu5KVdlfKVV/jzVq1ix19ZGe/yP/UpvnIRMrEfucAW/hkz4p+zhV9DPYoSKVkXfiIqB/BrAJ8EMBPAmUQUbeWwKIR/0yZehh16fsABnAVx/vn8ePt2Tu8EOObf3z+4Ds9ddwH/9V/O42IQfndWj/1YHb+iREouHP8hANYYY941xvQC+BOAUyLdooR6MpHVI7F3Ef6wjp8I+P3vgZNP5sfbt/PMUQB3bIrjd2OLZib2IxckGkegoR5FyRq5EP5JANZbj5tj6+IgoouIaCkRLW1tbU1vi1E6/rDCL9ihHtvxBxH+QnX8glfBLw31KErWyNuRu8aYWwDcAgDz5883SV6emCg6dzdv5mW6wt/ZCbzxBt/3C/UAxeH4AT5hukftAhrqUZQskgvh3wDAHr0zObYuOvIpxi+I8L/6qlNjv7ubR9cWs+MfP957vYZ6FCVr5CLU8wqA6UQ0jYiqAHwOwOJItxiF49+0iWPWdq37MIjwv/giL8vKgjv+QhZ+P2zHr6EeRYmUrAu/MaYfwCUAHgOwCsB9xpjXI92oOP5MlmzYsoXFKtX6N+JqX32Vl/vvnzjGb4t9IYd6/Cgvd74TdfyKEik5ifEbYx4G8HDWNhhFqKe11TtWHZSKCr4S2b6drxomTWLhHzbMW/jLynh9X19xOn6Av0+t1aMokaMjd8Miotzenp7wA064Z9o0p3S0X6gHcMI9xej4Ab6CqqrSEr+KEjGlIfxROH4gc8Lf2OgIv1+oB3CEv5gdv7p9RYmcvE3nzChRdO4CmXX8O3aw8O/YEV/F0kaFX1GUDFBajj+TnbtA+sIv2SuNjSx43d3cd+A3IXqxh3qmTOFJ1xVFiZTScPzjx3PcfPLk9D8rKse/dStX3mxp8Z8bt9gd/89+5oxpUBQlMkpD+CdOBDZuzMyE0FEJ/6pVfL+tLbnjL1bhT/f7VBQlEKUh/IC/mIYlCuHfa6/4QUt+bRXBL9ZQj6IoWaF0hD9T2Bk36Qr//PnA6tUc37eFv6HB+/XF7vgVRckKpdG5m0nsHPt0hf/LXwaeeYbvB3H8xd65qyhKVlDhDwuRI7yZjEmr41cUJUuo8KdC1MJfqp27iqJkBRX+VIha+P1q/GuoR1GUDKDCnwpRCv+oUaVbskFRlKygwp8KIvzuCcPTQYQ/UdqppnMqipIBVPhTQRy55OFngiDCr45fUZQMoMKfClVVLPqpTsLiRXU1f55fRg+gwq8oSkZQ4U+FqqrMlxcgAkaM8J+TFnAqV9rTMCqKooRER+6mQhTCDwAPPADsvbf/82efzScGrWmjKEoaqPCnQlSzRC1YkPj5sWOBM8/M/HYVRSkpVPhT4fLLOTSjKIpSgKjwp8KnP53rFiiKoqSMdu4qiqKUGCr8iqIoJYYKv6IoSomhwq8oilJiqPAriqKUGCr8iqIoJYYKv6IoSomhwq8oilJikDEm121IChG1Alib4tvHANiaweYUAqW2z6W2v4DucymQif3dyxgzqNZ7QQh/OhDRUmPM/Fy3I5uU2j6X2v4Cus+lQJT7q6EeRVGUEkOFX1EUpcQoBeG/JdcNyAGlts+ltr+A7nMpENn+Fn2MX1EURYmnFBy/oiiKYqHCryiKUmIUtfAT0fFE9BYRrSGi7+a6PVFARO8T0QoiaiKipbF1o4jocSJaHVuOzHU704GIbiOiLUS00lrnuY/E3Bj7zV8jonm5a3nq+OzzIiLaEPutm4joBOu578X2+S0iOi43rU4dIppCRE8R0RtE9DoRfSO2vmh/5wT7HP3vbIwpyhuAcgDvANgbQBWAVwHMzHW7ItjP9wGMca37HwDfjd3/LoCf5Lqdae7j0QDmAViZbB8BnADgEQAE4DAAL+W6/Rnc50UALvd47czY8V0NYFrsuC/P9T6E3N8JAObF7g8D8HZsv4r2d06wz5H/zsXs+A8BsMYY864xphfAnwCckuM2ZYtTANwZu38ngIKeK9IY8yyAdtdqv308BcBdhnkRwAgimpCdlmYOn3324xQAfzLG7DbGvAdgDfj4LxiMMZuMMctj97cDWAVgEor4d06wz35k7HcuZuGfBGC99bgZib/UQsUAWEJEy4jooti6ccaYTbH7mwGMy03TIsVvH4v9d78kFtq4zQrhFdU+E1EjgIMBvIQS+Z1d+wxE/DsXs/CXCkcaY+YB+CSArxLR0faThq8RizpntxT2McZNAPYBMBfAJgA/y21zMg8R1QH4M4BLjTHb7OeK9Xf22OfIf+diFv4NAKZYjyfH1hUVxpgNseUWAA+CL/1a5LI3ttySuxZGht8+Fu3vboxpMcbsMcYMAPgdnMv8othnIqoEC+Ddxpi/xFYX9e/stc/Z+J2LWfhfATCdiKYRURWAzwFYnOM2ZRQiGkpEw+Q+gE8AWAnez3NjLzsXwEO5aWGk+O3jYgDnxLI+DgPQZYUKChpXDPsz4N8a4H3+HBFVE9E0ANMBvJzt9qUDERGA3wNYZYy53nqqaH9nv33Oyu+c657tiHvNTwD3lL8D4Pu5bk8E+7c3uJf/VQCvyz4CGA3gSQCrATwBYFSu25rmft4DvuTtA8c1v+i3j+Asj1/HfvMVAObnuv0Z3Oc/xPbptZgITLBe//3YPr8F4JO5bn8K+3skOIzzGoCm2O2EYv6dE+xz5L+zlmxQFEUpMYo51KMoiqJ4oMKvKIpSYqjwK4qilBgq/IqiKCWGCr+iKEqJocKvKBZENNqqirjZqpLYTUS/yXX7FCUTaDqnovhARIsAdBtjrst1WxQlk6jjV5QAENECIvp77P4iIrqTiJ4jorVEdCoR/Q/xvAiPxobhg4g+RETPxAroPVZo1SOV4kWFX1FSYx8AxwA4GcAfATxljJkDYCeAT8XE/5cATjPGfAjAbQD+b64aqyg2FblugKIUKI8YY/qIaAV40p9HY+tXAGgEsD+A2QAe55IsKAeXYFCUnKPCryipsRsAjDEDRNRnnM6yAfD/igC8bow5PFcNVBQ/NNSjKNHwFoCxRHQ4wOV3iWhWjtukKABU+BUlEgxP93kagJ8Q0avgyotH5LZVisJoOqeiKEqJoY5fURSlxFDhVxRFKTFU+BVFUUoMFX5FUZQSQ4VfURSlxFDhVxRFKTFU+BVFUUqM/w/bUQsalEi4qgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "lstm_residual_joined = [x for l in lstm_residual for x in l]\n",
        "pd.DataFrame(lstm_residual_joined, columns=[\"Residual\"]).describe()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 300
        },
        "id": "uixYWgEsP6SL",
        "outputId": "96319be8-94a1-4683-81b6-449e91a85361"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-59055f2f-aea1-4251-b1cc-e1c1aaebb207\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Residual</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>252.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>6.549322</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>4.087192</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>-2.947235</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>4.055347</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>6.218758</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>8.499086</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>20.442856</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-59055f2f-aea1-4251-b1cc-e1c1aaebb207')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-59055f2f-aea1-4251-b1cc-e1c1aaebb207 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-59055f2f-aea1-4251-b1cc-e1c1aaebb207');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "         Residual\n",
              "count  252.000000\n",
              "mean     6.549322\n",
              "std      4.087192\n",
              "min     -2.947235\n",
              "25%      4.055347\n",
              "50%      6.218758\n",
              "75%      8.499086\n",
              "max     20.442856"
            ]
          },
          "metadata": {},
          "execution_count": 72
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "r2_score(test_stock_prices, predicted_prices)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1thGmsSIRBAi",
        "outputId": "f5a585a9-39c7-4edb-abfa-03b4f52e50fe"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.7218766048476858"
            ]
          },
          "metadata": {},
          "execution_count": 73
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**VAR**"
      ],
      "metadata": {
        "id": "OqiERM1SUMTK"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "company2 = 'MSFT'\n",
        "company3 = 'GOOGL'\n",
        "var_stock = data.DataReader([company, company2, company3], 'yahoo', \n",
        "                            first_full_day, last_full_day)"
      ],
      "metadata": {
        "id": "V0udUxW9UOaV"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "var_stock['Close'].corr()"
      ],
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      "execution_count": null,
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        {
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              "      <th>Symbols</th>\n",
              "      <th>AAPL</th>\n",
              "      <th>MSFT</th>\n",
              "      <th>GOOGL</th>\n",
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              "      <th>AAPL</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.982164</td>\n",
              "      <td>0.956946</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MSFT</th>\n",
              "      <td>0.982164</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.974940</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>GOOGL</th>\n",
              "      <td>0.956946</td>\n",
              "      <td>0.974940</td>\n",
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              "                                                     [key], {});\n",
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              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
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              "  "
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            "text/plain": [
              "Symbols      AAPL      MSFT     GOOGL\n",
              "Symbols                              \n",
              "AAPL     1.000000  0.982164  0.956946\n",
              "MSFT     0.982164  1.000000  0.974940\n",
              "GOOGL    0.956946  0.974940  1.000000"
            ]
          },
          "metadata": {},
          "execution_count": 77
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "var_differenced = var_stock['Close'].diff().dropna()\n",
        "var_differenced.corr()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 175
        },
        "id": "BB_CsntSXqxw",
        "outputId": "3cd30292-8011-480b-d261-34ea88b1c870"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-48cd89a8-1622-46d2-9497-0906ad0e97a2\">\n",
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              "\n",
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              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th>Symbols</th>\n",
              "      <th>AAPL</th>\n",
              "      <th>MSFT</th>\n",
              "      <th>GOOGL</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Symbols</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>AAPL</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.696896</td>\n",
              "      <td>0.569406</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MSFT</th>\n",
              "      <td>0.696896</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.734329</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>GOOGL</th>\n",
              "      <td>0.569406</td>\n",
              "      <td>0.734329</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
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              "\n",
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              "    }\n",
              "\n",
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              "\n",
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              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
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              "          document.querySelector('#df-48cd89a8-1622-46d2-9497-0906ad0e97a2 button.colab-df-convert');\n",
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              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-48cd89a8-1622-46d2-9497-0906ad0e97a2');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
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              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "Symbols      AAPL      MSFT     GOOGL\n",
              "Symbols                              \n",
              "AAPL     1.000000  0.696896  0.569406\n",
              "MSFT     0.696896  1.000000  0.734329\n",
              "GOOGL    0.569406  0.734329  1.000000"
            ]
          },
          "metadata": {},
          "execution_count": 81
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from statsmodels.tsa.api import VAR\n",
        "var_model = VAR(var_differenced)\n",
        "var_order = var_model.select_order(maxlags=90)\n",
        "var_order.summary()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "FGsXUnNbYv6e",
        "outputId": "fd0c6a1b-e409-4a36-b29c-c65177a2098d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<table class=\"simpletable\">\n",
              "<caption>VAR Order Selection (* highlights the minimums)</caption>\n",
              "<tr>\n",
              "   <td></td>      <th>AIC</th>         <th>BIC</th>         <th>FPE</th>        <th>HQIC</th>    \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>0</th>  <td>     6.322</td>  <td>     6.330</td>  <td>     556.9</td>  <td>     6.325</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>1</th>  <td>     6.282</td>  <td>     6.311*</td> <td>     534.8</td>  <td>     6.292</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>2</th>  <td>     6.285</td>  <td>     6.335</td>  <td>     536.4</td>  <td>     6.303</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>3</th>  <td>     6.273</td>  <td>     6.345</td>  <td>     530.1</td>  <td>     6.299</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>4</th>  <td>     6.275</td>  <td>     6.368</td>  <td>     530.9</td>  <td>     6.308</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>5</th>  <td>     6.259</td>  <td>     6.374</td>  <td>     522.8</td>  <td>     6.301</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>6</th>  <td>     6.235</td>  <td>     6.371</td>  <td>     510.2</td>  <td>     6.284</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>7</th>  <td>     6.227</td>  <td>     6.385</td>  <td>     506.2</td>  <td>     6.284*</td>\n",
              "</tr>\n",
              "<tr>\n",
              "  <th>8</th>  <td>     6.226</td>  <td>     6.405</td>  <td>     505.5</td>  <td>     6.291</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>9</th>  <td>     6.219</td>  <td>     6.419</td>  <td>     502.1</td>  <td>     6.292</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>10</th> <td>     6.210</td>  <td>     6.432</td>  <td>     497.7</td>  <td>     6.291</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>11</th> <td>     6.208</td>  <td>     6.452</td>  <td>     496.9</td>  <td>     6.297</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>12</th> <td>     6.212</td>  <td>     6.477</td>  <td>     498.7</td>  <td>     6.308</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>13</th> <td>     6.207</td>  <td>     6.494</td>  <td>     496.4</td>  <td>     6.312</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>14</th> <td>     6.201</td>  <td>     6.509</td>  <td>     493.3</td>  <td>     6.313</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>15</th> <td>     6.202</td>  <td>     6.531</td>  <td>     493.7</td>  <td>     6.322</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>16</th> <td>     6.193</td>  <td>     6.544</td>  <td>     489.3</td>  <td>     6.321</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>17</th> <td>     6.185</td>  <td>     6.557</td>  <td>     485.2</td>  <td>     6.320</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>18</th> <td>     6.177</td>  <td>     6.571</td>  <td>     481.4</td>  <td>     6.320</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>19</th> <td>     6.175</td>  <td>     6.590</td>  <td>     480.4</td>  <td>     6.326</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>20</th> <td>     6.173</td>  <td>     6.610</td>  <td>     479.8</td>  <td>     6.332</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>21</th> <td>     6.171</td>  <td>     6.629</td>  <td>     478.5</td>  <td>     6.337</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>22</th> <td>     6.168</td>  <td>     6.648</td>  <td>     477.4</td>  <td>     6.343</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>23</th> <td>     6.162</td>  <td>     6.663</td>  <td>     474.2</td>  <td>     6.344</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>24</th> <td>     6.166</td>  <td>     6.689</td>  <td>     476.1</td>  <td>     6.356</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>25</th> <td>     6.158</td>  <td>     6.703</td>  <td>     472.7</td>  <td>     6.356</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>26</th> <td>     6.149</td>  <td>     6.715</td>  <td>     468.1</td>  <td>     6.355</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>27</th> <td>     6.140</td>  <td>     6.728</td>  <td>     464.3</td>  <td>     6.354</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>28</th> <td>     6.141</td>  <td>     6.750</td>  <td>     464.6</td>  <td>     6.362</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>29</th> <td>     6.142</td>  <td>     6.772</td>  <td>     464.9</td>  <td>     6.371</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>30</th> <td>     6.145</td>  <td>     6.797</td>  <td>     466.4</td>  <td>     6.382</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>31</th> <td>     6.137</td>  <td>     6.811</td>  <td>     462.9</td>  <td>     6.382</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>32</th> <td>     6.140</td>  <td>     6.835</td>  <td>     464.3</td>  <td>     6.393</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>33</th> <td>     6.140</td>  <td>     6.856</td>  <td>     464.0</td>  <td>     6.400</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>34</th> <td>     6.139</td>  <td>     6.877</td>  <td>     463.8</td>  <td>     6.408</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>35</th> <td>     6.130</td>  <td>     6.890</td>  <td>     459.7</td>  <td>     6.407</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>36</th> <td>     6.127</td>  <td>     6.908</td>  <td>     458.2</td>  <td>     6.411</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>37</th> <td>     6.132</td>  <td>     6.935</td>  <td>     460.6</td>  <td>     6.424</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>38</th> <td>     6.131</td>  <td>     6.955</td>  <td>     460.1</td>  <td>     6.431</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>39</th> <td>     6.128</td>  <td>     6.973</td>  <td>     458.6</td>  <td>     6.435</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>40</th> <td>     6.126</td>  <td>     6.993</td>  <td>     457.8</td>  <td>     6.441</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>41</th> <td>     6.123</td>  <td>     7.012</td>  <td>     456.5</td>  <td>     6.446</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>42</th> <td>     6.119</td>  <td>     7.029</td>  <td>     454.6</td>  <td>     6.450</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>43</th> <td>     6.119</td>  <td>     7.050</td>  <td>     454.3</td>  <td>     6.457</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>44</th> <td>     6.111</td>  <td>     7.064</td>  <td>     451.1</td>  <td>     6.458</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>45</th> <td>     6.113</td>  <td>     7.087</td>  <td>     451.8</td>  <td>     6.467</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>46</th> <td>     6.111</td>  <td>     7.107</td>  <td>     450.9</td>  <td>     6.473</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>47</th> <td>     6.114</td>  <td>     7.131</td>  <td>     452.3</td>  <td>     6.484</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>48</th> <td>     6.114</td>  <td>     7.153</td>  <td>     452.5</td>  <td>     6.492</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>49</th> <td>     6.095</td>  <td>     7.155</td>  <td>     443.9</td>  <td>     6.481</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>50</th> <td>     6.091</td>  <td>     7.173</td>  <td>     442.2</td>  <td>     6.485</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>51</th> <td>     6.087</td>  <td>     7.191</td>  <td>     440.4</td>  <td>     6.488</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>52</th> <td>     6.085</td>  <td>     7.210</td>  <td>     439.5</td>  <td>     6.494</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>53</th> <td>     6.082</td>  <td>     7.228</td>  <td>     438.0</td>  <td>     6.498</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>54</th> <td>     6.079</td>  <td>     7.247</td>  <td>     436.9</td>  <td>     6.504</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>55</th> <td>     6.076</td>  <td>     7.265</td>  <td>     435.5</td>  <td>     6.508</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>56</th> <td>     6.073</td>  <td>     7.284</td>  <td>     434.1</td>  <td>     6.513</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>57</th> <td>     6.070</td>  <td>     7.302</td>  <td>     433.0</td>  <td>     6.518</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>58</th> <td>     6.073</td>  <td>     7.326</td>  <td>     434.2</td>  <td>     6.529</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>59</th> <td>     6.079</td>  <td>     7.354</td>  <td>     436.9</td>  <td>     6.543</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>60</th> <td>     6.079</td>  <td>     7.376</td>  <td>     437.0</td>  <td>     6.551</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>61</th> <td>     6.080</td>  <td>     7.398</td>  <td>     437.5</td>  <td>     6.559</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>62</th> <td>     6.065</td>  <td>     7.405</td>  <td>     431.0</td>  <td>     6.552</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>63</th> <td>     6.068</td>  <td>     7.430</td>  <td>     432.4</td>  <td>     6.563</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>64</th> <td>     6.072</td>  <td>     7.455</td>  <td>     433.9</td>  <td>     6.575</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>65</th> <td>     6.061</td>  <td>     7.465</td>  <td>     429.2</td>  <td>     6.571</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>66</th> <td>     6.058</td>  <td>     7.484</td>  <td>     428.0</td>  <td>     6.576</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>67</th> <td>     6.060</td>  <td>     7.507</td>  <td>     428.8</td>  <td>     6.586</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>68</th> <td>     6.060</td>  <td>     7.529</td>  <td>     428.8</td>  <td>     6.594</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>69</th> <td>     6.064</td>  <td>     7.554</td>  <td>     430.5</td>  <td>     6.606</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>70</th> <td>     6.058</td>  <td>     7.570</td>  <td>     428.1</td>  <td>     6.608</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>71</th> <td>     6.049</td>  <td>     7.582</td>  <td>     424.2</td>  <td>     6.606</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>72</th> <td>     6.048</td>  <td>     7.603</td>  <td>     423.8</td>  <td>     6.613</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>73</th> <td>     6.045</td>  <td>     7.621</td>  <td>     422.5</td>  <td>     6.618</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>74</th> <td>     6.044</td>  <td>     7.642</td>  <td>     422.3</td>  <td>     6.625</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>75</th> <td>     6.048</td>  <td>     7.668</td>  <td>     424.1</td>  <td>     6.637</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>76</th> <td>     6.047</td>  <td>     7.688</td>  <td>     423.7</td>  <td>     6.644</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>77</th> <td>     6.044</td>  <td>     7.706</td>  <td>     422.2</td>  <td>     6.648</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>78</th> <td>     6.038</td>  <td>     7.722</td>  <td>     420.0</td>  <td>     6.651</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>79</th> <td>     6.040</td>  <td>     7.745</td>  <td>     420.6</td>  <td>     6.660</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>80</th> <td>     6.035</td>  <td>     7.761</td>  <td>     418.5</td>  <td>     6.663</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>81</th> <td>     6.035</td>  <td>     7.783</td>  <td>     418.5</td>  <td>     6.670</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>82</th> <td>     6.026</td>  <td>     7.796</td>  <td>     415.1</td>  <td>     6.670</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>83</th> <td>     6.015</td>  <td>     7.807</td>  <td>     410.6</td>  <td>     6.667</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>84</th> <td>     6.013*</td> <td>     7.826</td>  <td>     409.8*</td> <td>     6.672</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>85</th> <td>     6.015</td>  <td>     7.849</td>  <td>     410.5</td>  <td>     6.682</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>86</th> <td>     6.015</td>  <td>     7.871</td>  <td>     410.7</td>  <td>     6.690</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>87</th> <td>     6.016</td>  <td>     7.893</td>  <td>     411.0</td>  <td>     6.699</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>88</th> <td>     6.018</td>  <td>     7.916</td>  <td>     411.7</td>  <td>     6.708</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>89</th> <td>     6.021</td>  <td>     7.941</td>  <td>     413.1</td>  <td>     6.719</td> \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>90</th> <td>     6.019</td>  <td>     7.960</td>  <td>     412.2</td>  <td>     6.725</td> \n",
              "</tr>\n",
              "</table>"
            ],
            "text/plain": [
              "<class 'statsmodels.iolib.table.SimpleTable'>"
            ]
          },
          "metadata": {},
          "execution_count": 80
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "lag_order = 84\n",
        "x = 2265\n",
        "var_predictions = [[],[],[]]\n",
        "for obs in test_stock_prices:\n",
        "  var_model = VAR(var_differenced[0:x])\n",
        "  results = var_model.fit(lag_order)\n",
        "  x += 1\n",
        "  var_prediction = results.forecast(var_differenced.values[-lag_order:], 1)\n",
        "  var_predictions[0].append(var_prediction[0][0])\n",
        "  var_predictions[1].append(var_prediction[0][1])\n",
        "  var_predictions[2].append(var_prediction[0][2])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uxggKJXNd8Oo",
        "outputId": "8f17f1f6-a8d9-4f93-80d9-0ea42048d185"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  self._init_dates(dates, freq)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "var_predictions = pd.DataFrame({company:var_predictions[0], \n",
        "                                company2:var_predictions[1], \n",
        "                                company3:var_predictions[2],})\n",
        "var_predictions.index = var_stock['Close'][2264:-1].index\n",
        "\n",
        "reverse_p = var_stock['Close'][2264:-1] + var_predictions\n",
        "reverse_p = reverse_p.iloc[1: , :]"
      ],
      "metadata": {
        "id": "YSea4RKJfFB9"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "reverse_p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 455
        },
        "id": "uK50p7cwf51D",
        "outputId": "ab68de0a-40d0-499b-f340-16cdf144947a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th>GOOGL</th>\n",
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            "text/plain": [
              "Symbols           AAPL        MSFT        GOOGL\n",
              "Date                                           \n",
              "2021-01-04  131.143626  220.572634  1718.085303\n",
              "2021-01-05  133.047072  221.361377  1736.175871\n",
              "2021-01-06  128.672063  215.791999  1719.490412\n",
              "2021-01-07  133.090619  221.962476  1772.220307\n",
              "2021-01-08  134.128345  223.367620  1795.061552\n",
              "...                ...         ...          ...\n",
              "2021-12-23  177.561995  340.409633  2963.198345\n",
              "2021-12-27  181.623231  348.176619  2983.251400\n",
              "2021-12-28  180.590700  346.994001  2958.916175\n",
              "2021-12-29  180.610061  347.510441  2956.961225\n",
              "2021-12-30  179.342533  344.634331  2946.070036\n",
              "\n",
              "[251 rows x 3 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 84
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(test_stock_prices, color='green', label='Real data')\n",
        "plt.plot(reverse_p['AAPL'].values, color ='orange', label='VAR Prediction')\n",
        "plt.title(f'{company} Price')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Share Price')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "EnYQZ96MgXIc",
        "outputId": "f86a9d35-5201-46d1-ff67-c669b9d8b737"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "var_residual = []\n",
        "i = 0\n",
        "for value in test_stock_prices[:-1]:\n",
        "  var_residual.append(value - reverse_p['AAPL'].values[i])\n",
        "  i += 1\n",
        "plt.plot(var_residual, color='red', label='VAR Residual')\n",
        "\n",
        "plt.title(f'{company} Price')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Share Price')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "yMXc3_Llhi9N",
        "outputId": "e54392bf-dcda-42ff-e97a-e617ec6449ac"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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EcRwnn9m7Fx59FAYPhvbtc92bCriAOI7j5DPr18OaNTCwxvlpM44LiOM4Tj5TXm7Ldu1y2484uIA4juPkM6GAtGmT237EwQXEcRwnn3EBcRzHcdLCBcRxHMdJCxcQx3EcJy3Ky6FBA2jaNNc9qYQLiOM4Tj5TXm7Wh0iue1KJXJW0PUNE5orIXhHpk6DNQSIyM+q1RUQuD46NFZGyqGODs9rhdetg3rysfoTjOCXOnj1w440W9xFNKCB5SK4skDnAacDbiRqo6gJV7a2qvYEjgM+pWAb3jvC4qr4S/ywZ4ne/g+98J6sf4ThOifPhh/DrX8Mjj1TcX14Obdvmpk9VkBMBUdV5qrqgGm8ZAHyiqsuz1aekNG4Mn3+ek492HKdEmDvXlrNnV9y/YYNbIDVkBPBEzL5LRGSWiDwgIq0SvVFERovIdBGZvj7WNEyVJk1MQFTTe7/jOE5VzJljy1mzKu4vxSEsEZkiInPivIZW8zwNgCHAM1G77wH2B3oDa4DbEr1fVcerah9V7dMu3VQATZqYeOzcmd77HcdxqiK0QObOhd27bV0VNm7MWwHJWj0QVc1U5q/vAx+q6rqoc3+1LiL3Ai9l6LPi07ixLXfsgEaNsvpRjuOUKHPn2r1mxw5YvBi++U2rgb57d94KSCEMYY0kZvhKRDpGbQ7DnPLZo0kTW7ofxHGcbLB5M6xcaVUHITKMlcdBhJC7abzDRGQVcAzwsohMCvbvIyKvRLVrCnwP+FfMKW4RkdkiMgs4Abgiqx12AXEcJ5t8/LEthw+HunXhjTdse10w2JKnApKTkraqOoGKU3LD/auBwVHb24FKfzlVPTurHYzFBcRxnGzy0Ue27NMHRo2Cv/8dFiyAmTOtEuEhh+S2fwkohCGs3BPtA3Ecx8k006ZZtcF994Xx4+Gyy8x5PmgQzJgB+++f6x7GJScWSMHhFojjONngnXcsz9W0aXD00ZaupG5dGDcu1z1LCReQVHABcRwnG/zkJ2ZprFtnQ1cFRpVDWCLSQUTuF5GJwfYhIvLj7Hctj6hKQLZutZfjpEt5OZx2Gsyfn+ueODXlkktg9Oiq2335JSxaFHGUH310dvuVBVKxQB4E/gGMCbYXAk8B92epT/lHMh/I9Olw5JEW8HPooXDTTXDyybXbP6dwmTULFi404ZgwwR5E+ve3p9JrroF99sl1D53qMn165YSI8Vi82GI86gTP8X3i5pXNa1IRkLaq+rSIXAegqrtFZE+W+5VfJLNA/v1vE4/rr4d77oG//tUFxEmdX/8aXnwRmjeHFi1gyhR71akDL7wAS5bkZRpvJwnbt8Py5WZh1K9v+x5/3Hwb4TRdiEzdvf122LvXfgMFRioCsl1E2gAKICJHA5uz2qt8I5mAzJ4N7dpZxt6PPrJ/eMdJBVX4739tfetWeP55uO8+6NfPbjK//GVep7FwErBtm6VmX7kS9tsPXnsNzjrLjp15Jjz1lK2HJSIuuCAvi0WlQioCciXwArC/iPwbaAcMz2qv8o1kQ1hz5tjQFUCXLjB1au31yylsVq2y8e/f/AYOPhh+8INIJPI//2nLlStdQAqN7dtt+frrcN55FstxyCFwwAHw7ruRdvPm2bTdAhUPSMGJrqofAt8Bvg38BPiWqs5K/q4io359C+aJtUD27rX8NdEC8tln7lB3UiO0Pk45BUaOrDhU1bWrLVesqP1+OTVj2zZb3nwzvP22DWn/85/wjW/Apk2Rdh9/nLcBgqmSyiysnwHNVHWuqs4BmonIT7PftTwjTOkezfLl9mPp0cO2u3Sx5cqVtds3p7D44gu48EK46y57OOnVq3IbF5DCZM+eyEjFJ5+YZfn445YYsVUrO7Zzpw1fLlhgxwuYVCLRL1TVz8INVd0EXJi9LuUp8QQkzN8fbYGAC4iTnN/+1nwdb70FvXtDw4aV27RrZ/v9t1RYxN4joiuZtgrKFm3aZMkTd+yAzp1rr29ZIBUfSF0REVUNneh1gQbZ7VYe0qRJZR9IOIviW9+yZfjU6P/0TiI+/hj+/GcLGmvTBvr2jd+uTh27ubgFUliE/o+Q44+PrEcLSDg7K09L1aZKKgLyKvCUiPw92P5JsK+0iFfWdt06aNbMpl+CzdmvU8f/6Z3EvPqq+c7++MeqYzy6dvXfUqER+j+aNzdfaCILJIz9KAEBuQYTjYuD7cnAfVnrUb4Sbwhr40Zo3TqyXa8edOzoFoiTmHfftamdqQQIdu0aSevtFAahBfKLX5hgfP3rkWPRAhKWxy52AVHVvVgJ2Xuy3508JhUBAfODuICUFqr2qlPHAklbtoQf/Sh+u3ffhe9/P7XzdukCZWUWrVzP09YVBKEFcvTRcOKJFY9FC0hYsrbABSShE11Eng6Ws0VkVuyr9rqYJ8TzgbiAOLfdZtlUGzeGl16CK6+EP/whftvFiy3FRb9+qZ27a1cb7lq9OnP9dbJLaIHEi+2IFpANG2y9Xbva6VeWSPZYc1mwPKU2OpL3xPOBbNwYcaCHtG1r+53i59lnbahi0CD43/8synjnTgsQKy+vHAAYBpH175/a+cNhrrVrIxM0nPwmtECaNat8rGVLW27aZELTsGFBBxFCEgtEVdcEM64eVNXlsa9a7GN+kGgIK/Ym8bWvwZYttdcvJ3c88gh07w7PPQdjxpiF+rWv2bH33ovfvksXiwlIhegnVqcwSGaB1K9vwhJaIG3bFnyes6RxIKq6B9grIl/L9AeLyK0iMj8YEpsgIi0TtBskIgtEZLGIXBu1v7uIvB/sf0pEsju1OFZAVOMPYbVoAbt2WbCYkx1eesleuWbDBhOQhg0tMPB734O//c1uFNEpK8DypL35Jvz855EZOFURPrF+9lnydk7+EApIPAsE7KEgWkAKnFR+yduA2UFNkDvDVwY+ezJwqKr2xFLEXxfbILCA7ga+DxwCjBSRMPb/ZuAOVf0GsAnIbo2Sxo0r+kC2b7dsm7ECEj6Bbi6tfJO1ytix9sSfa8rLIzeBRo0sad6IEZaW+7XX4NNP7diOHZaavUkTS5yXKm6BFB7hEFaioakSFJB/Ab8B3gZmRL1qhKq+pqrBVASmAfFCMo8EFqvqElXdBTwJDBURAb4LPBu0ewg4taZ9SkqsBRL6OVxAap9Vq8whvXevbb/1lt2kv/zSrL/aIp6fA0xEZs604arf/x6OPdYE5dZbI6KQCi4ghUdogYQZvGMpMgFJOjdQRE7Fsu/OVtVJWezH+ViRqlg6AdFTmlYBRwFtgM+iBGhV0LYSIjIaGA3QtSaOyCZNbOpdmOO/KgFxP0h22LUrUsFt9WpYtgxOOMES1y1YYPmH3nor+/3YuzdxqvVLL4UBA+Dqqy1tSYcO8K9/wanVfMZp1MiGx3wIq3DYts1GK8KaH7G0amW/0SIRkGTTeP8KXIHdrG8Qkd9U9+QiMkVE5sR5DY1qMwbYDTyWRv+rRFXHq2ofVe3TriZT5mJrgiQSkDAq3S2Q7BA9pXXRInuqB6ul8eyzkfQysWzYYEW/3njDAvn+8pea9eOzz0xEEqVa/9a3rFDUa69ZxcHqikdI+MTqFAbbtyf2f4B9nxs22HdaBAKSzAI5DuilqntEpAnwDnBDdU6uqgOTHReRc7FpwgPCXFsxlAFdorY7B/vKgZYiUi+wQsL92SO6JsjXvmbDF+BDWLXNqlWR9RdftKp9rVtHZj3VqWM39lhH9YMPwg032AvglVfMoZ0u4fefrFZHnTrmWK8JLVu6gBQS27Yln5rbqhWsWWPrRSAgyXwgu4JZWKjq50BG55uJyCDgamBIcP54fAAcEMy4agCMAF4IxOZNIoWtRgHPZ7J/lQjLTYaOUR/CSp0tW+zJP+4zQjWJFpC777YI7bvvjuwLh5ZimTYNOnWCX/3KbvphJHB12LHDys0uX56agGSCVq18CKuQSMUCCSlyAflmVOT57Kjt2RmKRL8LaA5MFpGZIvI3ABHZR0ReAau/DlwCTALmAU+r6tzg/dcAV4rIYmyY7f4M9CkxYVK0cPpoeJOKdYr6EFZFXn3V8oMNGJAZ30QoIF27mj9k0CA47TT7pw3TfaxfX/l9778Pxx0HN95okeChHyVV3n8fDjrILIpu3eDee21/tm8CPoRVWFRlgfTrB+3bmx+1wItJQfIhrKxWOgmm38bbvxoYHLX9CvBKnHZLsFlatUOXLpbf5tln7Sl240Yb1gqHtkJKXUD27LGb9Pnn2xP/mDGW6uPzzy2vU01Ztcqswb59LVPt2Wfb+V98EebPh4svNgGJLtRTVmbvO+oo2+7QwQShOlxzjV3bs89afeuXX7b92bZAWra0yQFOYVCVBXLCCfbwsmdPYkd7AZEsEr1S9HlJR6IDDB9uKSs++SR+ECHYU3DTppUFZN48ePTR2ulnLpk61WYePf64rX/4IVwbxH/Gswyqy6pVVifjyCMt0+kPfmD7jz8ejjkm/ueEYhEKSPv21iacBpyMtWvtGqZOtdlVp58OBx4YsWBqYwjLLZD8Zvt2K1m7fXvVFkhIEYgHpBYH4oScEqQFmzo1sYCAWSHRPpBt2+xGd845kbHzYmXCBFsuXWpV99q0MWd13bqRBHLpsm2bCUinTpaD6pNPKlqA4Sy70E8FZgmNGGFDBr17274OHUw8qvouduwwS6ZvX3v/eefZ/jAVSd26EZ9Xtgh9IKmInZMb7rrLHi67dbOMA8kskCLDBaQ6dO9uuWtWrLBhkehc/9F87WsVLZDrr7ebnaqlsyhWVC0vFMCSJTBrllkFTZqYkNREQJYssZvp+++bBVKnTuVgrdAfEVoge/bAM8/A4YfDP/5hcRVgFghUFJp4TJ1qN+/DDoOrroq8LxSQ1q2zn8uoZUsTjzDC2ck/Jk+OpLSB+CWKi5SUBEREGovIQdnuTN7ToIE5hFessAC27t3jt4sVkMmTrTZA8+Y2i6dY+fBDsxCaNLEYjYULI76Idu1qNoQ1Y4bNnGrVCr797fhtGjSwG274OQsW2I33pz81v0VIhw62rMqRPnGiic4778Cf/hTZH15TbcyiCSdp/PKXFuvi5BdffAH//jcMHQp3Bhme1q7NbZ9qkSqr1IjID4A/Y3XQu4tIb+D3qjok253LS7p2NWft+vVmssYjVkBWrDDnWaNGJibFyvz5thw0yCKvoeLNtiYWyMKFtly5MvkYc7RQffCBLWPrjieyQMaPt3Hsc86xIciJE+G73608USK0QLLt/4CIgIwfD5Mm2TBqkYyfFwXvvWciMnAgDB4M/+//2f96iZCKBTIWm+30GYCqzgQSPHqXAF27wvTptp5IQKJ9IJs323rXrvYjW7LEns6LkdDZe8QRkX3hzbamArJggQ1dVeWgjBWQZs3M6R1NPAvk88/hssusIFTbthatvmhR/OqBBwXGeG0ISMuoJNXLl1sApJM/vPGGTZw57jgbzrz0UujRI9e9qjVSEZAvVTV2TmoGIsIKlK5dLR8WpGaBrFgRed+pp9rY/YMPZruXuSGZgNR0CGvhwsiNOxmxAnLEEZWf2Fu1sn3RFsiUKfYk+fvfW16t++6z5bnnVv6MJk3Mr3JwVme6R/oass8+li6+kHjwQRPlYmXBAth//0igcYmRSqHluSLyI6CuiBwAXArEqZZTIkQnZKyugHTpYmbuAw9YSvL69bPZ09pn0yazEMIbfYcOkRtgWKkxnfnvqvaPOnJk1W3btTNH+3//a1OuL7+8cps6dWwYa9Ys8y1Mm2ZPkS1aWLxHgxRKy7z3Xu3UKQ8tkAMPtDTx1Y1fySWbNtnff9s2SyFT4NX34rJ2beLJNCVAKhbIz4FvATuBx4HNQJz/yhIhFJCGDSNDIbG0aGFj6Xv2VBQQgJ/8xH50Eydmv6+1zaZNJhhdutjNNfoJvV07m02UTkzD+vU2GypVC+TTT224sEsXG5aKh4hlFRg3zhIwvvWW+W5SEQ+w7782fBH77muW0BtvxK+Kmc/cdps9SO3ZExn2LTbWrXMBSURQ0OllVR2jqn2D169VtXTL7YVCsO++iSvLhbEBmzaZgNSvH/mRDRxoN6///S/7fa1tQgGpW9d8B4MHR46FM5bS8YOEDvRYX0Y8Dj3Ulscfb6LQKW6Wf5tNBzateuZM6+ull1a/b8Exb5cAAB+9SURBVNlGxNLCd+pUuahZPqMK999vvgEwK68YWbcu8YNkCZDUBg8y8e4Vka/F8YOUJqGAJBq+gkjE85NPmoCEcQtgM7E6dbK4kGIjFBCwLLnRRAvIunUWR3P44amdN7TWUqklPnKkRYtXNRf/6aftaT4UnDA1ST5TSBbIokVmaf/+95Z9duJEswwvvhi+ETeLUeGxY4dNkHEBSUpY0nYysD3cqap5+LhWC7RubUNU+++fuM0xx9jrttvM8ogtZLX//sUrIPvtF/9YGCW+fr2ldHn8cfOJVOVHeOkl+OMf4Uc/Shx3E41IaoFcifqZzzRubAkk8zmPkqoJxtSptn3ccVYf/uGHbd+zz1rcROd4BUjzhDBrdHSQaFhpMNqPE87i8yGspGSlpG3BImIZZn/96+Ttrr7agg2nTSstAUlUsjXaApk7F7ZuNSd2VTz4oN1s7s9usuWCIIy8z8dhrGuvNYHv1css7BtvtCfzAw+0TNYi8Lvf2ff/u9/Ze8rLLUPAF3k2Iv6739kQZ5h5+9ZbbbtTp8gMyldfjcQ9uQWSGFV9qDY6UlCESfuSMXQo3HEH/OY3lvgvmv33t6eXbduKK29OMgEJLZC1ayM+jffeq3oYa+VKc8aHaUhKmeiqmPn2u3nlFRvOad/eROSjj+CMM0w4Ro2yNPhdusCcOTZcOGeOBUUuXw6PPGJDnvlwTZ9/bsGA27bBkCH24HL11XDSSSbc551nv+HrrrMUN1DSAlKlBSIiB4jIsyLysYgsCV+10bmCRsSmMG7eDD/7WcVj4fDXkiL6M375pZn5iQSkUSMb+37rrUj8xX/+U/V5V6ywG49TsSpmPqEKixdbBP/771s+tI4dYdgwO163buQ7POUUG+IaNMiu47e/tYkMjz+eu/5H89RTNuPvuedMDH/8Y/vtPvqoCd/Xv27iAZGJMC4gSfkHcA9Wt/wE4GGgBPKSZ4g6dSon3AsFpJiGscLpuYkEBMwSC5NJtmgRKUObiF27zFKLHQIsVaItkHxi9WoTgwMOsO1u3WySRLy4ncGD7f+hrAxuuikyFBxd6z6XPPKITdYYPNhGD1QtmLRtW7OQbrzR2kX7cMLUOCVIKgLSWFVfBySoBTIWODm73SpySllAQgfliBHmI1q6NHH7sjJr7xaIka8WSJiaJxQQSJyluG1bm2Ldq5dZLPXq2cSUTNSKyQQrVljafxG48EL4wx/MSgo5/3wbOQhr3LRqVVLZd2NJRUB2ikgdYJGIXCIiw4AaDVaKyK0iMj8okTtBRFrGadNFRN4Mhs7mishlUcfGikhZUAp3pogMjn1/XtOqleVRio4qXro0MzXDc0WqAgI2pHH11RYfc/PNidvHBmGWOvlqgYQCkur03OeesxlZ4Uyymqa5ySTl5ZEJHw0aWEXN2FlW3btbVgAo6eErSE1ALgOaYClMjgDOBkbV8HMnA4eqak9gIXBdnDa7gatU9RDgaOBnIhJdRPgOVe0dvAovw9zo0TalcfJkizLebz8LMpw+3SK2t2/PvyfNZKQiIL172xPnfvuZFXbhheakTGSFrFxpS7dAjHy1QBYvtpttqkLfokXFQlz5IiC7d5v/I5Ukmb162W+5hKfwQgoCoqofqOo2VV2lquep6mmqWqOwUlV9TVV3B5vTgEqTwlV1jap+GKxvBeYBCcKKC5Drr7fUHBdfbKm6mza15H99+9qTWbNm9kMulOyrqQhI48ZWyyN8evvFL+yf9sUXbXvOHBsXDy2x0AJxATHy2QLZb7/0Y1PyRUA2brRlKnVeGjWymWWxpQJKjFTqgRwI/BLYN7q9qn43Q304H3iqij50Aw4DojPJXSIi5wDTMUslbpIlERkNjAbomk9DIY0aWaDhKaeYL2T0aBvOeeYZG/tv0sQi2U8/3YQljJjOV1IRELC59eGNpls3G/+ePdu2//AHmwUzcqSlilm50kQ0tvJgqZKvcSCLFlX0f1SXtm0tuDDXhGl2Uk3TXygPd1kklUj0Z4C/AfcCe1I9sYhMAeLZd2NU9fmgzRhsqOqxJOdpBvwTuFxVw0Lj9wA3YGnlbwBuw4SoEqo6HhgP0KdPn/xyMgweDP362T/P//2fZV698MLI8REj7Eb65pv5LyCffWbLqgQkOu21iNVOmD0bdu6M/EO+957Nypk1y62PaMIhrHyzQFauNMd4urRrZ76HvXsT55erDcrLbVkblSaLhFQEZLeq3lPdE6vqwGTHReRc4BRggGp877GI1MfE4zFV/VfUuddFtbkXeKm6/csLRODvf4cnnjAhiaVLF7tpLFtW612rNuXlNuyWajbbkB49LLp3yhSLTgfzi7z+uq0PHZrRbhY0ySyQ7dst39Rpp9XuTXjvXgsgbFlpHkzqtGtn6Vk2baqdIl2JqK4F4iT2gYhIaxFpDbwoIj8VkY7hvmB/2ojIIOBqYIiqxn2cEhEB7gfmqertMcc6Rm0OA+bUpD855VvfsqGbeP/0IjbMUwgCUlZmBY+qS48eFvV7221mnfTvb+JRvz789a+WB8sxklkgt9xikd+PPFK7fdq+3XxWLVqkf47oPGm5xC2QapPMApmBDRGFE7p/GXVMgZpko7sLaAhMNp1gmqpeJCL7APep6mCgHzbja7aIzAze96tgxtUtQW12BZYBP6lBX/KbQhKQRKnTkxGW/3zzTbjoIgvKevdd8/1cfHFm+1joJBKQnTsjlQqvucYqX0bPcsomYenmmnxetICkknE5W7gFUm0SCoiqZq3uuarGnTCuqquBwcH6u0TEK7bd2dnqW97RrVthVKErK4s/DFcVoW+nRQtLYrdokVlkl1yS2f4VA3Xr2hDhjh025HPiiSay27dbepg//cnSbNx+eyRhYbYJK28WiwXSqJFP2qgGCQVERPoCK1V1bbB9DnA6sBwYq6oba6eLJU63bja9cMuWmv2TZhNVc3qnY4E0b27RvccdZ9ZH+/b2JFiVM75UCWuCzJlj8UPLl1s8Qo8eZn28/74lA7zySrsh33mnCcwdd2Tn95NpCySXbNhg1keiKHqnEsmGsP4ODAQQkeOAm7Dytr2xWU3Ds947J1K4avnyyHBPvrFhg+WtSkdAoHKqdhePxDRpYhZIOO01TIczYYLd+H7zG4v0vuQSm822YoXF2px8sjnYM00oIJmwQNKpVplJoqPQnZRINl2jbpSV8UNgvKr+U1V/AxRJSbECIBSQfPaDhInw0nGiO9WjcWOzQN591zLeHnigBbOFs9UOP9yGsR591KbXTppkEzQ++ig7/cnEEFbDhmaJ5osF4qRMUgERkdBCGQC8EXUslem/TiYoBAEpK7NluhaIkzrRFkj//vDOOyYS0cMuf/yjTUqYOBG++10TmWwJSCaGsMD6+NJLuS0u5RZItUkmIE8AU0XkeWAH8A6AiHwD8ProtUW7dvkfC+ICUns0bmwFuVasMAFp3z7+kN/xx8OAAbYeFnjatAnmzctsIGImhrDAUth88klup227BVJtEgqIqt4IXAU8CPSPCvarg/lCnNpAxH7Um+JmaskPQgHp2DF5O6fmNGliJYEhklOsKnr1sgeQXr3gkEOswmOm/A3hEFZ0hoF0GDjQ0vpkI45l2jSLM3ojahDlmWcqzm6cNMn+x/w3XC2SDkXFS5qoqguz1x0nLs2bR6K085GyMnsSrl8/1z0pfsJYELBhn1To1cuWK1fC2LH2lH/++fD887BggWXRTXfq6pYtloEg3USK0fToYbXG9+yJfz7V6s+QevddE6edO2222tq1ln/twgvNup8/Hz7+GH7wA/s7XXRRza+jhMhh4hknZVq0iAwV5CPpBhE61Se80bdsmfpwSyggQ4dacaRbb7UMyGecYZkQYksuV4dMTi/v0sVmjK1bV3H/Bx+YtdWwIfzwh6lbTwsW2DV37Wr+ld27rfb66tVmOS1ebCUVbrnF4msmT47MCHNSwgWkEMh3AVm71k3/2iIUkG98I/Wn8U6d4Omn4d57bfvnP4ezz4Z//tOe9J94wmZAvfEGnHeepZZJlc2bMysgEKkDE3LjjTYEN2qU9fmWW5KfZ8kSS0T63e/a9U2caIlL993X3v/xx9aucWO44grLen3BBe5ATwMXkEKgefP8F5ASL6xTa4RDWNVNn37GGZGnaxGrQXP33SYaO3faMM/AgZbYMtpXUBVbtmQubUo8AVG1YaghQ0wAhwyBhx6yuKNEPPeclQXo3h1eftmKl4lYHMzkyfCf/1i7CRNMNOrVg8svz8w1lBguIIVAixb56wPZu9fSaLiA1A6hBVKT+htgKTt++lObyTVkiA1DXnqpxYxMn576eTI9hAUVBWTBApte27+/bV9wgf3eXkqSgHv1ahPad96pWPBp+HATnjvvNOE46ST48EML0g2nyzvVwgWkEMjnIazycnN6lnht6FojXQskGc89ZzflcePMJ/LBB6m/N5NDWK1amUBGC8i779oyFJCTTjIn+MSJic8T+uRih/iOOcaskvJym40GZn20b5+Z/pcgLiCFQCgg8cum5JbQ4ekWSO0Q7QPJFCKRcgJ9+5oFkupvLZNDWCJmhUQLyDvv2NBbKJh165q1EE4dj0ei0gIiVrgNTCidGuMCUgg0b27/0Nu357onlVm71pZugdQO4XTpVKfwVpc+fWyWU1iPvioyneQzWkDmzbN4jZNOqmhNdOqUXECSJfb8v/8zETr88Mz1uYRxASkEwn/QVPwg8+fDmWdaMr29e7PbL3ALpLY55xyLKm9do5puiQmDE6dVCgGrzJ499pvMhoDs3Ws3+6ZNK8+66tQpkn8NLJ7lBz8w57hq8uJmBx5owjRqVOb6XMJ4TqtCIPwH3bIl8XTZzz6DkSMtEKthQ5tZ06JF9lNDuAVSuzRqZJHk2aJ3b+jcGe66yx5Ekk0VDqf7ZrJ4VZcusGaNVaX88EN44IHKv/l99jEraedO+O9/rYAWmA/lm9+0fFrJ4pIy6T8qcdwCKQTCNBHxHOkPPGBRxddfb+kYxo614Ycf/tDSN2Tbb7JunQlWbVXAc7JL/fpw7bXmvA7r0iciE5l4Yzn2WPvNjhpl1seZZ1ZuE4rD6tWWsh5g0CD7/a9aZdueGbpWyImAiMitIjJfRGaJyAQRaZmg3TIRmS0iM0VketT+1iIyWUQWBcviLiARPYS1dKlFFp94opnul10G//gH/OUvcO65Fmncvr0NRezaVb2gsHRYu9asDy/CUzz8+McWvT18uEWsJyK8WWcyiHTAAJtxtWYNDBtmIhJLtIDMnGl9HTHCZpK98krFNk5WyZUFMhk4VFV7AguB65K0PUFVe6tqdOa4a4HXVfUA4PVgu3iJHsJ65x2YNcv+cU491TKrXn65BUvdcEPkPeEY+cYsF45ct879H8VGo0YwdarNdho1KnHQ3sIgLd5BB2Xus0Vs2LV+fctXFY/QuigrM39Q7972QAVmkUe3cbJKTgREVV9T1d3B5jSgczVPMRR4KFh/CDg1U33LS6IFZOlSW58+3ea1X3qplStdvLjiU1eYJynbAhJaIE5x0a2b1abftAmmTInfZuFCi6PIdBDescfa8Nhxx8U/Hv7OFy+2QMPevc0KOuqoiKi5gNQK+eADOR9IFBWkwGsiMkNERkft76Cqa4L1tUDCO5iIjBaR6SIyfX2uK56lS7QPZOlS++fo2tXGf++4I/57QgukvDy7fXMLpHg58URL2vjXv9rvbOfOiscXLjTLt14W5uJEZx2OpVUrs5JefdVma/XubfsffDDSplGjzPfJqUTWZmGJyBQg3p1ljKo+H7QZA+wGHktwmv6qWiYi7YHJIjJfVd+ObqCqKiIJPcWqOh6r4U6fPn3yMBIvBWJ9IN27V/2edIawVC2x3hdfWA3tqiyL3bstCZ8LSHHSoIHlj3rgAcsptd9+kdK5YAKSrXiUZIjYQ9Q779h2KCDf/Ca8/XZ+F18rMrImIKo6MNlxETkXOAUYEFWsKvYcZcHyUxGZABwJvA2sE5GOqrpGRDoCn2a08/lGw4Y2Jrxli/1zJDLto0lHQF57Dc46y9Z/9jObypmMtWvtCdAdlsXLmDH2ADNuXMRpDva9L14c8T3UNmHk/HHHVRxCO/ZYezm1Qq5mYQ0CrgaGqGrc+poi0lREmofrwInAnODwC0AYCTQKeD67Pc4xIjaMVV5u/8TZskD+/ndLMnfwwRFfSzK8lG3xs99+Nh28Xr2K0d9lZVabPRcWCMCf/mQzDl97zWcA5pBcBRLeBTTEhqUApqnqRSKyD3Cfqg7G/BoTguP1gMdV9dXg/TcBT4vIj4HlQJzJ4kVGixZWynTv3tQEpGFDmwKZqoCsXm3Fdq66yiJ1UxkGcAEpDerUMSd1tICEzupcCcjw4fZyckpOBERV42aCU9XVwOBgfQnQK0G7cmBA1jqYj7RoYVMWITUBAbNCUhWQyZMtNcXZZ8M990TGl5PhAlI6xOafeuABc1T36JG7Pjk5Jx9mYTmp0KJFJJlidQQk1VlYYU6rbt0sncRnn1UdhFhWZr4Zr+RW/EQLyH//C48/DldemXpZXacocQEpFEJHYfv2qT/xV8cCWb/eniibNo0U9ol2msYjTFpXx39GRU+0gNx8swnHtcUdv+tUjf/nFwoPPGCO7aVLU593X10BadcuUpMBKtemjiUs3OMUP5062TTy5cstvcnZZ0fik5ySxQWkUKhf36yQsKBQKrRpU30BARcQpzKdg2QRt98OX35paeWdkscFpJgJLZBUMvJu2BARkLAcaDIBCesuuICUBuH3fO+9Vs0vDN5zShoXkGKmdWtLhJdKJcP16yPO8AYNLAo9mYBs2WLndQEpDcLveccO+PWvPfbCAVxAipvqBBNGD2GBDWO98AKcd158CyasCOcCUhp06mSTJQYMsFozjoMLSHHTKiiTsmlT8nZffGFTdqMFZOhQu2E8+GD8qPRPg+wxnom3NGjc2PJhPfGEWx/OV7iAFDNhRtMvvkjeLsxSHC0gY8ZEivNMn175PRs22NJjQEqHQYMq/kackscFpJgJU1qnIyAAhx5qKVE++KDye8IARQ8kc5ySxQWkmAkFJLaOQyyJrIkGDax8bjILxAXEcUoWF5BipqYWCEDfvjBjhiVxjGbDBmjWzAv3OE4J4wJSzGRCQPr0sQjk996ruH/DBrc+HKfEcQEpZqojIHXrWvnSWE45xab0Dh8OK1ZE9peXuwPdcUocF5BiJlUBWbPGkjTGS4rYtq3Vnl63Dh55JLJ/wwYXEMcpcVxAiplUBWTpUqs8l4hDDrF4j+giUy4gjlPyuIAUM6kKyCefJBcQsBoksQLiPhDHKWlcQIqZhg1tmUxAdu60uh9VCUi3bpGI9F27LBeWWyCOU9LkREBE5FYRmS8is0RkgohU8t6KyEEiMjPqtUVELg+OjRWRsqhjg2v/KgqAOnUsDXysgGzcCKNGmVN8+XLLdZWKgKxYYWVvw9xaLiCOU9LkygKZDByqqj2BhcB1sQ1UdYGq9lbV3sARwOfAhKgmd4THVfWVWul1IdKoUWUBefppePhhq+mweLHt23//5Ofp1s3qQKxZ42lMHMcBIMXSdplFVV+L2pwGDK/iLQOAT1R1efZ6VaTEE5CXX7bhralTYfNm25eKBQLmB9m929bdB+I4JU0++EDOByZW0WYE8ETMvkuCIbAHRKRVojeKyGgRmS4i09eHAXOlRKyA7NgBr78Oo0dDv34wc6a1+frXk5+ne3dbLlvmFojjOEAWBUREpojInDivoVFtxgC7gceSnKcBMAR4Jmr3PcD+QG9gDXBbover6nhV7aOqfdqVYibRWAF5800TkZNPhmuusX377Vd1iu6uXW25bFnEmd6+fca76zhO4ZC1ISxVHZjsuIicC5wCDFBNWnP1+8CHqrou6txfrYvIvcBLNettERMrILNm2bJfP6uv3ru3lShN5TwdO8K8eTB3rqU4qcpqcRynqMmJD0REBgFXA99R1c+raD6SmOErEemoqmuCzWHAnMz3skiIFZBt22x2VtOmZnW8+66lMUmFIUNg/HibtXXXXdnpr+M4BUOufCB3Ac2BycE03L8BiMg+IvLVjCoRaQp8D/hXzPtvEZHZIjILOAG4opb6XXjEE5BmzSJDVk2bpp5R96abzOpo0ABGjsx8Xx3HKShyNQvrGwn2rwYGR21vBypN9VHVs7PXuyKjUSMTjZBQQNKhZUt4/nmLBwnrrTuOU7LkRECcWqRRo8isKaiZgIDVB+nbt+b9chyn4MmHabxONok3hNW8ee764zhO0eACUuzECsjWrTWzQBzHcQJcQIqdRE50x3GcGuICUuy4gDiOkyVcQIodFxDHcbKEC0ixEwpIGOzvAuI4ToZwASl2GjUy8fjyS1u6gDiOkyE8DqTYiS5ru2cP7N3rAuI4TkZwASl2ogVk505b9zgQx3EygAtIsRNrgYBbII7jZAQXkGInngXiAuI4TgZwASl2ogVk+3ZbdwFxHCcD+CysYidaQMKsvC4gjuNkABeQYscFxHGcLOFDWMVOKCAbNsBnn9m6C4jjOBnABaTYCQXk9NOhXvB1u4A4jpMBcjaEJSI3iMisoKTtayKyT4J2o0RkUfAaFbX/iKCs7WIRuVMkrNHqVKBhw8j67t22dAFxHCcD5NIHcquq9lTV3sBLwPWxDUSkNfBb4CjgSOC3ItIqOHwPcCFwQPAaVCu9LjTi1Ttv0qT2++E4TtGRMwFR1S1Rm00BjdPsJGCyqm5U1U3AZGCQiHQEWqjqNFVV4GHg1Kx3uhBpFejtQQdF9rmx5jhOBsipD0REbgTOATYDJ8Rp0glYGbW9KtjXKViP3R/vM0YDowG6du1a804XGq1bw7Jl0K4dNG2a6944jlNEZNUCEZEpIjInzmsogKqOUdUuwGPAJdnog6qOV9U+qtqnXbt22fiI/GfffX3YynGcjJNVC0RVB6bY9DHgFczfEU0ZcHzUdmfgrWB/55j9ZWl1spR49VVYty7XvXAcp0jI5SysA6I2hwLz4zSbBJwoIq0C5/mJwCRVXQNsEZGjg9lX5wDPZ73Thc5JJ8E55+S6F47jFAm59IHcJCIHAXuB5cBFACLSB7hIVS9Q1Y0icgPwQfCe36vqxmD9p8CDQGNgYvByHMdxaglRjTf5qTjp06ePTp8+PdfdcBzHKShEZIaq9ond77mwHMdxnLRwAXEcx3HSwgXEcRzHSQsXEMdxHCctXEAcx3GctHABcRzHcdKipKbxish6LOYkHdoCGzLYnULAr7k08GsuDWpyzfuqaqVcUCUlIDVBRKbHmwddzPg1lwZ+zaVBNq7Zh7Acx3GctHABcRzHcdLCBSR1xue6AznAr7k08GsuDTJ+ze4DcRzHcdLCLRDHcRwnLVxAHMdxnLRwAUkBERkkIgtEZLGIXJvr/mQLEVkmIrNFZKaITA/2tRaRySKyKFi2ynU/a4KIPCAin4rInKh9ca9RjDuD732WiByeu56nR4LrHSsiZcH3PFNEBkcduy643gUiclJuel0zRKSLiLwpIh+LyFwRuSzYX8zfc6Jrzu53rar+SvIC6gKfAPsBDYCPgENy3a8sXesyoG3MvluAa4P1a4Gbc93PGl7jccDhwJyqrhEYjBUqE+Bo4P1c9z9D1zsW+EWctocEv++GQPfgd18319eQxjV3BA4P1psDC4NrK+bvOdE1Z/W7dgukao4EFqvqElXdBTyJleAtFYYCDwXrDwGn5rAvNUZV3wY2xuxOdI1DgYfVmAa0FJGOtdPTzJDgehMxFHhSVXeq6lJgMfb7LyhUdY2qfhisbwXmAZ0o7u850TUnIiPftQtI1XQCVkZtryL5F1PIKPCaiMwQkdHBvg5qNegB1gIdctO1rJLoGov5u78kGK55IGpYsuiuV0S6AYcB71Mi33PMNUMWv2sXECea/qp6OPB94Gciclz0QTXbt6jnfZfCNQL3APsDvYE1wG257U52EJFmwD+By1V1S/SxYv2e41xzVr9rF5CqKQO6RG13DvYVHapaFiw/BSZgJu260JwPlp/mrodZI9E1FuV3r6rrVHWPqu4F7iUydFE01ysi9bEb6WOq+q9gd1F/z/GuOdvftQtI1XwAHCAi3UWkATACeCHHfco4ItJURJqH68CJwBzsWkcFzUYBz+emh1kl0TW+AJwTzNI5GtgcNQRSsMSM7w/Dvmew6x0hIg1FpDtwAPDf2u5fTRERAe4H5qnq7VGHivZ7TnTNWf+ucz17oBBe2CyNhdhMhTG57k+WrnE/bFbGR8Dc8DqBNsDrwCJgCtA6132t4XU+gZnyX2Ljvj9OdI3YrJy7g+99NtAn1/3P0PU+ElzPrOBG0jGq/ZjgehcA3891/9O85v7Y8NQsYGbwGlzk33Oia87qd+2pTBzHcZy08CEsx3EcJy1cQBzHcZy0cAFxHMdx0sIFxHEcx0kLFxDHcRwnLVxAHCcLiEibqAyoa6Myom4Tkb/mun+Okwl8Gq/jZBkRGQtsU9U/57ovjpNJ3AJxnFpERI4XkZeC9bEi8pCIvCMiy0XkNBG5Rawmy6tBagpE5AgRmRokuZxUaJlineLFBcRxcsv+wHeBIcCjwJuq2gPYAZwciMhfgOGqegTwAHBjrjrrONHUy3UHHKfEmaiqX4rIbKx42avB/tlAN+Ag4FBgsqU7oi6WmsRxco4LiOPklp0AqrpXRL7UiFNyL/b/KcBcVT0mVx10nET4EJbj5DcLgHYicgxYym4R+VaO++Q4gAuI4+Q1amWUhwM3i8hHWJbVb+e2V45j+DRex3EcJy3cAnEcx3HSwgXEcRzHSQsXEMdxHCctXEAcx3GctHABcRzHcdLCBcRxHMdJCxcQx3EcJy3+P1hz0JCoVdcUAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "pd.DataFrame(var_residual, columns=[\"Residual\"]).describe()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 300
        },
        "id": "I-m93CB8ixbP",
        "outputId": "f119a11c-210e-489d-ba21-27bdff824c6a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-964599f7-02fd-4b2d-8df3-c0d973046f86\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Residual</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>251.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>-2.185242</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>0.316267</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>-3.016717</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>-2.389382</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>-2.185800</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>-2.034439</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>-1.142536</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-964599f7-02fd-4b2d-8df3-c0d973046f86')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
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              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
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              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-964599f7-02fd-4b2d-8df3-c0d973046f86 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-964599f7-02fd-4b2d-8df3-c0d973046f86');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "         Residual\n",
              "count  251.000000\n",
              "mean    -2.185242\n",
              "std      0.316267\n",
              "min     -3.016717\n",
              "25%     -2.389382\n",
              "50%     -2.185800\n",
              "75%     -2.034439\n",
              "max     -1.142536"
            ]
          },
          "metadata": {},
          "execution_count": 95
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "r2_score(test_stock_prices[1:], reverse_p['AAPL'])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dKv90oWmlALd",
        "outputId": "968e0c32-20ca-4bcd-8bff-dcb4b2001c8d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.9575124243899172"
            ]
          },
          "metadata": {},
          "execution_count": 97
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(test_stock_prices[len(test_stock_prices)-20:len(test_stock_prices)+1],\n",
        "         color='green', label='Real data')\n",
        "plt.plot(predicted_prices[len(test_stock_prices)-20:len(test_stock_prices)+1],\n",
        "         color ='red', label='LSTM Prediction')\n",
        "plt.plot(arima_predictions[len(test_stock_prices)-20:len(test_stock_prices)+1],\n",
        "         color ='black', label='ARIMA Prediction')\n",
        "plt.plot(reverse_p['AAPL'].values[len(test_stock_prices)-21:len(test_stock_prices)+1],\n",
        "         color ='orange', label='VAR Prediction')\n",
        "plt.title(f'{company} Price')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Share Price')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "WCb95zoUgQ_d",
        "outputId": "023c5358-49c7-448a-aad2-a34b5e9ef50b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}