hee_arima.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='new_date'>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv('pop_2018.csv')\n",
    "\n",
    "dates = pd.period_range(start = '2018-01-01',\n",
    "                   \t   end = None,\n",
    "                       periods = 39,\n",
    "                       freq = 'M')           \n",
    "\n",
    "df['new_date'] = dates\n",
    "\n",
    "series = df[['new_date', 'pop']]\n",
    "series.set_index('new_date', inplace=True)\n",
    "series.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "\n",
    "plot_acf(series)\n",
    "plot_pacf(series)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "\n",
    "diff_1=series.diff(periods=1).iloc[1:]\n",
    "diff_1.plot()\n",
    "plot_acf(diff_1)\n",
    "plot_pacf(diff_1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\XNOTE\\anaconda3\\lib\\site-packages\\statsmodels\\tsa\\arima_model.py:472: FutureWarning: \n",
      "statsmodels.tsa.arima_model.ARMA and statsmodels.tsa.arima_model.ARIMA have\n",
      "been deprecated in favor of statsmodels.tsa.arima.model.ARIMA (note the .\n",
      "between arima and model) and\n",
      "statsmodels.tsa.SARIMAX. These will be removed after the 0.12 release.\n",
      "\n",
      "statsmodels.tsa.arima.model.ARIMA makes use of the statespace framework and\n",
      "is both well tested and maintained.\n",
      "\n",
      "To silence this warning and continue using ARMA and ARIMA until they are\n",
      "removed, use:\n",
      "\n",
      "import warnings\n",
      "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARMA',\n",
      "                        FutureWarning)\n",
      "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARIMA',\n",
      "                        FutureWarning)\n",
      "\n",
      "  warnings.warn(ARIMA_DEPRECATION_WARN, FutureWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                  D.pop   No. Observations:                   38\n",
      "Model:                 ARIMA(0, 1, 1)   Log Likelihood                -293.124\n",
      "Method:                       css-mle   S.D. of innovations            539.538\n",
      "Date:                Thu, 22 Apr 2021   AIC                            592.248\n",
      "Time:                        14:36:43   BIC                            597.161\n",
      "Sample:                    02-28-2018   HQIC                           593.996\n",
      "                         - 03-31-2021                                         \n",
      "===============================================================================\n",
      "                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------\n",
      "const       -1015.0198    131.837     -7.699      0.000   -1273.416    -756.624\n",
      "ma.L1.D.pop     0.5195      0.150      3.462      0.001       0.225       0.814\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                  Real          Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "MA.1           -1.9250           +0.0000j            1.9250            0.5000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "\n",
    "model = ARIMA(series, order=(0,1,1))\n",
    "model_fit = model.fit(trend='c',full_output=True, disp=1)\n",
    "print(model_fit.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\XNOTE\\anaconda3\\lib\\site-packages\\statsmodels\\tsa\\arima_model.py:472: FutureWarning: \n",
      "statsmodels.tsa.arima_model.ARMA and statsmodels.tsa.arima_model.ARIMA have\n",
      "been deprecated in favor of statsmodels.tsa.arima.model.ARIMA (note the .\n",
      "between arima and model) and\n",
      "statsmodels.tsa.SARIMAX. These will be removed after the 0.12 release.\n",
      "\n",
      "statsmodels.tsa.arima.model.ARIMA makes use of the statespace framework and\n",
      "is both well tested and maintained.\n",
      "\n",
      "To silence this warning and continue using ARMA and ARIMA until they are\n",
      "removed, use:\n",
      "\n",
      "import warnings\n",
      "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARMA',\n",
      "                        FutureWarning)\n",
      "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARIMA',\n",
      "                        FutureWarning)\n",
      "\n",
      "  warnings.warn(ARIMA_DEPRECATION_WARN, FutureWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                  D.pop   No. Observations:                   38\n",
      "Model:                 ARIMA(0, 1, 1)   Log Likelihood                -309.157\n",
      "Method:                       css-mle   S.D. of innovations            817.916\n",
      "Date:                Thu, 22 Apr 2021   AIC                            622.314\n",
      "Time:                        14:39:23   BIC                            625.590\n",
      "Sample:                    02-28-2018   HQIC                           623.480\n",
      "                         - 03-31-2021                                         \n",
      "===============================================================================\n",
      "                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------\n",
      "ma.L1.D.pop     0.7300      0.086      8.532      0.000       0.562       0.898\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                  Real          Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "MA.1           -1.3699           +0.0000j            1.3699            0.5000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "\n",
    "model = ARIMA(series, order=(0,1,1))\n",
    "model_fit = model.fit(trend='nc',full_output=True, disp=1)\n",
    "print(model_fit.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model_fit.plot_predict()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(array([811791.00872025, 811791.00872025, 811791.00872025, 811791.00872025,\n",
      "       811791.00872025, 811791.00872025, 811791.00872025, 811791.00872025,\n",
      "       811791.00872025]), array([ 817.91645267, 1634.38482198, 2161.81409216, 2583.73113768,\n",
      "       2945.82637211, 3268.04520124, 3561.2281393 , 3832.04544374,\n",
      "       4084.94782165]), array([[810187.92193065, 813394.09550985],\n",
      "       [808587.6733323 , 814994.34410821],\n",
      "       [807553.93095834, 816028.08648216],\n",
      "       [806726.98874466, 816855.02869584],\n",
      "       [806017.29512622, 817564.72231429],\n",
      "       [805385.75782597, 818196.25961453],\n",
      "       [804811.1298265 , 818770.887614  ],\n",
      "       [804280.3376634 , 819301.6797771 ],\n",
      "       [803784.65811108, 819797.35932942]]))\n"
     ]
    }
   ],
   "source": [
    "fore = model_fit.forecast(steps=9)\n",
    "print(fore)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}