ARIMA_Model.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4680488b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "import pandas as pd \n",
    "import matplotlib.pyplot as plt\n",
    "from pandas.plotting import lag_plot\n",
    "from datetime import datetime\n",
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "from sklearn.metrics import mean_squared_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ded5b07c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2023-01-13 09:30:00-05:00</td>\n",
       "      <td>237.001999</td>\n",
       "      <td>237.250000</td>\n",
       "      <td>236.210007</td>\n",
       "      <td>236.270004</td>\n",
       "      <td>236.270004</td>\n",
       "      <td>680675</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2023-01-13 09:31:00-05:00</td>\n",
       "      <td>236.324997</td>\n",
       "      <td>236.858505</td>\n",
       "      <td>236.259995</td>\n",
       "      <td>236.570007</td>\n",
       "      <td>236.570007</td>\n",
       "      <td>85981</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2023-01-13 09:32:00-05:00</td>\n",
       "      <td>236.539993</td>\n",
       "      <td>236.609894</td>\n",
       "      <td>235.300003</td>\n",
       "      <td>235.300003</td>\n",
       "      <td>235.300003</td>\n",
       "      <td>146506</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2023-01-13 09:33:00-05:00</td>\n",
       "      <td>235.316193</td>\n",
       "      <td>235.419998</td>\n",
       "      <td>234.919998</td>\n",
       "      <td>235.419998</td>\n",
       "      <td>235.419998</td>\n",
       "      <td>129251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2023-01-13 09:34:00-05:00</td>\n",
       "      <td>235.440002</td>\n",
       "      <td>235.779999</td>\n",
       "      <td>235.335007</td>\n",
       "      <td>235.750000</td>\n",
       "      <td>235.750000</td>\n",
       "      <td>90855</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        Date        Open        High         Low       Close  \\\n",
       "0  2023-01-13 09:30:00-05:00  237.001999  237.250000  236.210007  236.270004   \n",
       "1  2023-01-13 09:31:00-05:00  236.324997  236.858505  236.259995  236.570007   \n",
       "2  2023-01-13 09:32:00-05:00  236.539993  236.609894  235.300003  235.300003   \n",
       "3  2023-01-13 09:33:00-05:00  235.316193  235.419998  234.919998  235.419998   \n",
       "4  2023-01-13 09:34:00-05:00  235.440002  235.779999  235.335007  235.750000   \n",
       "\n",
       "    Adj Close  Volume  \n",
       "0  236.270004  680675  \n",
       "1  236.570007   85981  \n",
       "2  235.300003  146506  \n",
       "3  235.419998  129251  \n",
       "4  235.750000   90855  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"Datasets/MSFT_2023-01-13.csv\")\n",
    "df.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2ff12fa6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "lag_plot(df['Open'], lag=3)\n",
    "plt.title(\"MSFT Stock - Autocorrelation plot with lag = 3\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "711cff63",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dfloc = df.loc[:, 'Date']\n",
    "plt.plot(dfloc.str[5:16], df[\"Close\"])\n",
    "plt.xticks(np.arange(0, 2500, 100), rotation=45)\n",
    "plt.title(\"MSFT Stock Price Over Time\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Price\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "49abeb9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "Testing Mean Squared Error is 0.03582163304273464\n"
     ]
    }
   ],
   "source": [
    "# Train test split\n",
    "# 1: Open, 2: High, 3: Low, 4: Close\n",
    "train_data, test_data = df[0:int(len(df)*0.7)], df[int(len(df)*0.7):]\n",
    "\n",
    "training_data = train_data['Close'].values\n",
    "test_data = test_data['Close'].values\n",
    "\n",
    "history = [x for x in training_data]\n",
    "model_predictions = []\n",
    "N_test_observations = len(test_data)\n",
    "\n",
    "for time_point in range(N_test_observations):\n",
    "    print(time_point, \"/\", N_test_observations)\n",
    "    model = ARIMA(history, order=(4,1,0))\n",
    "    model_fit = model.fit()\n",
    "    output = model_fit.forecast()\n",
    "    yhat = output[0]\n",
    "    model_predictions.append(yhat)\n",
    "    true_test_value = test_data[time_point]\n",
    "    history.append(true_test_value)\n",
    "\n",
    "MSE_error = mean_squared_error(test_data, model_predictions)\n",
    "print('Testing Mean Squared Error is {}'.format(MSE_error))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "5361733b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "256.9015576490916"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = ARIMA(history, order=(4,1,0))\n",
    "model_fit = model.fit()\n",
    "output = model_fit.forecast()\n",
    "yhat = output[0]\n",
    "yhat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "962220e0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save the model\n",
    "model_fit.save('Models/ARIMA-3-08-2023')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "c9c89a07",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the model\n",
    "from statsmodels.tsa.arima.model import ARIMAResults\n",
    "loaded = ARIMAResults.load('Models/ARIMA-3-08-2023')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8d3c71de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_set_range = df[int(len(df)*0.7):].index\n",
    "\n",
    "plt.plot(test_set_range, model_predictions, color = 'blue', linestyle='dashed', label='Predicted Price')\n",
    "\n",
    "plt.title('MSFT Prices Prediction')\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Prices')\n",
    "plt.xticks(np.arange(0, 2500, 100), rotation=45)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f8542554",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(test_set_range, test_data, color = 'red', label='Actual Price')\n",
    "plt.title('MSFT Prices Prediction')\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Prices')\n",
    "plt.xticks(np.arange(0, 2500, 100), rotation=45)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "70138b3f",
   "metadata": {},
   "outputs": [],
   "source": [
    "predicted_prices_df = pd.DataFrame(model_predictions, columns = ['Close'])\n",
    "predicted_prices_df.to_csv (r'Predictions\\ARIMA Model Price Prediction.csv', index = False, header=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cca6fd4d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6dcf8c44",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fa5cf56b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4bc8cf82",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a465ed73",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e8327c04",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "58d24c17",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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