ARIMA.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.7.5"
    },
    "colab": {
      "name": "ARIMA.ipynb",
      "provenance": [],
      "machine_shape": "hm",
      "include_colab_link": true
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/sarincr/Time-series-analysis-using-Python/blob/master/ARIMA.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "axY5P-i89QhT",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import numpy as np # linear algebra\n",
        "import pandas as pd # data processing, CSV file I/O\n",
        "import io"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "s6S7lKXk9Qhw",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Y89Pghnt9QiD",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "%matplotlib inline"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mkgS6r1f9cnr",
        "colab_type": "code",
        "outputId": "4cd5efdd-9701-4b0e-fbde-a16fdbe32e96",
        "colab": {
          "resources": {
            "http://localhost:8080/nbextensions/google.colab/files.js": {
              "data": "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",
              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": "OK"
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 83
        }
      },
      "source": [
        "from google.colab import files\n",
        "uploaded = files.upload()"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-f57cce8a-63db-41c5-ac30-92a6f6eb368f\" name=\"files[]\" multiple disabled />\n",
              "     <output id=\"result-f57cce8a-63db-41c5-ac30-92a6f6eb368f\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Saving DataSet.csv to DataSet.csv\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PP1vq9DC9xay",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "df = pd.read_csv(io.StringIO(uploaded['DataSet.csv'].decode('utf-8')))"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WruKrux1lCFr",
        "colab_type": "code",
        "outputId": "fce96bbf-089c-41af-df37-c248691d4b36",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        }
      },
      "source": [
        "df.head()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<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>time</th>\n",
              "      <th>power (W)</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>2019-12-01 04:00:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>2019-12-01 04:01:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>2019-12-01 04:02:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>2019-12-01 04:03:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>2019-12-01 04:04:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                  time  power (W)\n",
              "0  2019-12-01 04:00:00          0\n",
              "1  2019-12-01 04:01:00          0\n",
              "2  2019-12-01 04:02:00          0\n",
              "3  2019-12-01 04:03:00          0\n",
              "4  2019-12-01 04:04:00          0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HfXBnBJyqzxa",
        "colab_type": "code",
        "outputId": "1362f962-7b17-48e4-d1c8-61fad5a89c1c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        }
      },
      "source": [
        "df.plot()"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fc6e40a9fd0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD4CAYAAAAO9oqkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAPgPIKuKznoU9bAAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GWcghvHtb7ND",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "from matplotlib import pyplot as plt\n",
        "from statsmodels.tsa.stattools import adfuller\n",
        "from statsmodels.tsa.seasonal import seasonal_decompose\n",
        "from statsmodels.tsa.arima_model import ARIMA\n",
        "from pandas.plotting import register_matplotlib_converters\n",
        "register_matplotlib_converters()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nxyc7_micj1v",
        "colab_type": "code",
        "outputId": "84dd24a0-bcde-46d5-94e1-58e4c455e8a1",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        }
      },
      "source": [
        "df.head()"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<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>time</th>\n",
              "      <th>power (W)</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>2019-12-01 04:00:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>2019-12-01 04:01:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>2019-12-01 04:02:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>2019-12-01 04:03:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>2019-12-01 04:04:00</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                  time  power (W)\n",
              "0  2019-12-01 04:00:00          0\n",
              "1  2019-12-01 04:01:00          0\n",
              "2  2019-12-01 04:02:00          0\n",
              "3  2019-12-01 04:03:00          0\n",
              "4  2019-12-01 04:04:00          0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a2faJidHcx6s",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "df.set_index(\"time\", inplace = True) "
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mHNazoege6vg",
        "colab_type": "code",
        "outputId": "6dba7ee1-8bf9-4e38-825d-582ea84dcd92",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 238
        }
      },
      "source": [
        "df.head()"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<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>power (W)</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>time</th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2019-12-01 04:00:00</th>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2019-12-01 04:01:00</th>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2019-12-01 04:02:00</th>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2019-12-01 04:03:00</th>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2019-12-01 04:04:00</th>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                     power (W)\n",
              "time                          \n",
              "2019-12-01 04:00:00          0\n",
              "2019-12-01 04:01:00          0\n",
              "2019-12-01 04:02:00          0\n",
              "2019-12-01 04:03:00          0\n",
              "2019-12-01 04:04:00          0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "x1_DXFyLe8-L",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 281
        },
        "outputId": "81f935a8-004a-43d4-e373-3ed7c562c713"
      },
      "source": [
        "rolling_mean = df.rolling(window = 902).mean()\n",
        "rolling_std = df.rolling(window = 902).std()\n",
        "plt.plot(df, color = 'blue', label = 'Original')\n",
        "plt.plot(rolling_mean, color = 'red', label = 'Rolling Mean')\n",
        "plt.plot(rolling_std, color = 'black', label = 'Rolling Std')\n",
        "plt.legend(loc = 'best')\n",
        "plt.title('Rolling Mean & Rolling Standard Deviation')\n",
        "plt.show()"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAakAAAEICAYAAADlbAsQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhL0W/z8AfxYRI6IsLgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "x8tCgGxYgIXl",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "outputId": "1b5cdf3a-8df7-4002-fa98-30976fd9eff2"
      },
      "source": [
        "from pandas.plotting import autocorrelation_plot\n",
        "from matplotlib import pyplot\n",
        "autocorrelation_plot(df)\n",
        "pyplot.show()"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEKCAYAAAA8QgPpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WvF-OLhxB3DI",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 812
        },
        "outputId": "36c213d1-9785-47bc-b002-61b48bdef132"
      },
      "source": [
        "model = ARIMA(df, order=(5,1,0))\n",
        "model_fit = model.fit(disp=0)\n",
        "print(model_fit.summary())\n",
        "# plot residual errors\n",
        "residuals = df(model_fit.resid)\n",
        "residuals.plot()\n",
        "pyplot.show()\n",
        "residuals.plot(kind='kde')\n",
        "pyplot.show()\n",
        "print(residuals.describe())"
      ],
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/base/tsa_model.py:219: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  ' ignored when e.g. forecasting.', ValueWarning)\n",
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/base/tsa_model.py:219: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  ' ignored when e.g. forecasting.', ValueWarning)\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "stream",
          "text": [
            "                             ARIMA Model Results                              \n",
            "==============================================================================\n",
            "Dep. Variable:            D.power (W)   No. Observations:                11388\n",
            "Model:                 ARIMA(5, 1, 0)   Log Likelihood              -94117.992\n",
            "Method:                       css-mle   S.D. of innovations            939.846\n",
            "Date:                Sat, 14 Dec 2019   AIC                         188249.985\n",
            "Time:                        10:59:33   BIC                         188301.367\n",
            "Sample:                             1   HQIC                        188267.265\n",
            "                                                                              \n",
            "=====================================================================================\n",
            "                        coef    std err          z      P>|z|      [0.025      0.975]\n",
            "-------------------------------------------------------------------------------------\n",
            "const                 0.4566      4.882      0.094      0.925      -9.112      10.025\n",
            "ar.L1.D.power (W)    -0.2557      0.009    -27.366      0.000      -0.274      -0.237\n",
            "ar.L2.D.power (W)    -0.2245      0.010    -23.479      0.000      -0.243      -0.206\n",
            "ar.L3.D.power (W)    -0.1144      0.010    -11.755      0.000      -0.133      -0.095\n",
            "ar.L4.D.power (W)    -0.1359      0.010    -14.214      0.000      -0.155      -0.117\n",
            "ar.L5.D.power (W)    -0.0737      0.009     -7.887      0.000      -0.092      -0.055\n",
            "                                    Roots                                    \n",
            "=============================================================================\n",
            "                  Real          Imaginary           Modulus         Frequency\n",
            "-----------------------------------------------------------------------------\n",
            "AR.1            0.9318           -1.2107j            1.5278           -0.1456\n",
            "AR.2            0.9318           +1.2107j            1.5278            0.1456\n",
            "AR.3           -0.7994           -1.4551j            1.6603           -0.3300\n",
            "AR.4           -0.7994           +1.4551j            1.6603            0.3300\n",
            "AR.5           -2.1091           -0.0000j            2.1091           -0.5000\n",
            "-----------------------------------------------------------------------------\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "error",
          "ename": "TypeError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-26-191af1f78c3b>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel_fit\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msummary\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0;31m# plot residual errors\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mresiduals\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel_fit\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresid\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      6\u001b[0m \u001b[0mresiduals\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m \u001b[0mpyplot\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;31mTypeError\u001b[0m: 'DataFrame' object is not callable"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vLtuRj7iDd0C",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 559
        },
        "outputId": "178eb159-14ae-4457-a3bd-3409b6d61947"
      },
      "source": [
        "residuals = pd.DataFrame(model_fit.resid)\n",
        "residuals.plot(title=\"Residuals\")\n",
        "residuals.plot(kind='kde', title='Density')\n",
        "plt.show()"
      ],
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZ0AAAEWCAYAAAC9qEq5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAEICAYAAACJalkVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Zp18rv22EWkz",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}