{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "csUISKBVQHN7"
      },
      "outputs": [],
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from statsmodels.tsa.arima.model import ARIMA\n",
        "from statsmodels.tsa.stattools import adfuller\n",
        "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
        "import warnings\n",
        "import itertools\n",
        "\n",
        "warnings.filterwarnings('ignore')"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data = pd.read_csv('/content/daily-min-temperatures.csv')\n",
        "data['Temp'] = pd.to_numeric(data['Temp'], errors='coerce')\n",
        "ts = data['Temp']\n",
        "\n",
        "ts.plot(title='Daily Minimum Temperatures in Melbourne')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "NWFJ1yncQsgC",
        "outputId": "a0d39043-aeb5-4eed-8238-26f1ee4cb8a2"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ts = ts.dropna() # Remove missing values\n",
        "result = adfuller(ts)\n",
        "print('ADF Statistic: %f' % result[0])\n",
        "print('p-value: %f' % result[1])\n",
        "\n",
        "if result[1] > 0.05:\n",
        "    print(\"Series is non stationary; differencing is needed.\")\n",
        "else:\n",
        "    print(\"Series is stationary; no differencing needed.\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qSFwFkMST2HC",
        "outputId": "14d28f12-828a-4f47-a573-44f117e707c4"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "ADF Statistic: -4.444653\n",
            "p-value: 0.000247\n",
            "Series is stationary; no differencing needed.\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ts_diff = ts.diff().dropna()\n",
        "\n",
        "ts_diff.plot(title='Differenced Series')\n",
        "plt.show()\n",
        "\n",
        "result_diff = adfuller(ts_diff)\n",
        "print('ADF Statistic (differenced): %f' % result_diff[0])\n",
        "print('p-value (differenced): %f' % result_diff[1])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 487
        },
        "id": "fiYAS2f2UYI2",
        "outputId": "3a482519-b981-47f4-c9ff-370998a62be0"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "ADF Statistic (differenced): -21.079000\n",
            "p-value (differenced): 0.000000\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plot_acf(ts_diff)\n",
        "plt.show()\n",
        "\n",
        "plot_pacf(ts_diff)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 887
        },
        "id": "50fdnunlUnHd",
        "outputId": "28e6f2bc-3000-4288-cdf9-0237c4497de0"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "p = range(0, 4)\n",
        "d = range(0, 3)\n",
        "q = range(0, 4)\n",
        "pdq = list(itertools.product(p, d, q))\n",
        "\n",
        "best_aic = np.inf\n",
        "best_order = None\n",
        "best_model = None\n",
        "\n",
        "for order in pdq:\n",
        "    try:\n",
        "        model = ARIMA(ts, order=order)\n",
        "        results = model.fit()\n",
        "        if results.aic < best_aic:\n",
        "            best_aic = results.aic\n",
        "            best_order = order\n",
        "            best_model = results\n",
        "    except:\n",
        "        continue\n",
        "\n",
        "print(f'Best ARIMA order: {best_order} with AIC: {best_aic}')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NehukOyuUpcO",
        "outputId": "d8ade293-1b05-473a-9d5e-93eb320a6e0e"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Best ARIMA order: (3, 0, 1) with AIC: 16760.85769987077\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "final_model = ARIMA(ts, order=best_order)\n",
        "results = final_model.fit()\n",
        "\n",
        "forecast_values = results.forecast(steps=10)"
      ],
      "metadata": {
        "id": "9Qj6lWWOUspT"
      },
      "execution_count": 31,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(ts[-10:].index, ts[-10:], label='Actual', color='blue', linestyle='-', marker='o')\n",
        "plt.plot(forecast_values.index, forecast_values, label='Forecast', color='red', linestyle='--', marker='x')\n",
        "\n",
        "plt.title('ARIMA Forecast: Actual vs Forecast', fontsize=14)\n",
        "plt.xlabel('Date', fontsize=12)\n",
        "plt.ylabel('Value', fontsize=12)\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 477
        },
        "id": "ywle_E7nVJIt",
        "outputId": "006a08d7-a8dc-4283-f82a-40a5112468d2"
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "91GnI5not2h3"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}