{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "ir",
      "display_name": "R"
    },
    "language_info": {
      "name": "R"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Zto8jMjUtCqD",
        "outputId": "31dc3a88-f6b4-48f6-bef7-55bf84ab4621"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependencies ‘colorspace’, ‘fracdiff’, ‘lmtest’, ‘timeDate’, ‘urca’, ‘zoo’, ‘RcppArmadillo’\n",
            "\n",
            "\n"
          ]
        }
      ],
      "source": [
        "install.packages(\"forecast\")"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "library(forecast)"
      ],
      "metadata": {
        "id": "4fWH7LvltXka"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plot(BJsales, main = \"Time Series Plot\", col.main = \"darkgreen\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "hipnMhrytaBC",
        "outputId": "1e3c4691-e5ab-4e62-91e3-788f558a0500"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Plot with title “Time Series Plot”"
            ],
            "image/png": 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w4fPvzgwYM5OTkqGU0ul+/Zs2f8+PGCIDRr1szFxeXHH39UycjlcPnyZQsLi6o8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\nAAAAAElFTkSuQmCC"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fit <- auto.arima(BJsales)\n",
        "\n",
        "forecastedValues <- forecast(fit, 10)\n",
        "\n",
        "print(forecastedValues)\n",
        "\n",
        "plot(forecastedValues, main = \"ARIMA Forecast\", col.main = \"darkgreen\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 628
        },
        "id": "Vq6Kq4m4uUwS",
        "outputId": "4aad79f1-b781-4d01-9a15-57eec26e12fb"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    Point Forecast    Lo 80    Hi 80    Lo 95    Hi 95\n",
            "151       262.8620 261.1427 264.5814 260.2325 265.4915\n",
            "152       263.0046 260.2677 265.7415 258.8189 267.1903\n",
            "153       263.1301 259.4297 266.8304 257.4709 268.7893\n",
            "154       263.2405 258.5953 267.8857 256.1363 270.3447\n",
            "155       263.3377 257.7600 268.9153 254.8074 271.8680\n",
            "156       263.4232 256.9253 269.9211 253.4855 273.3608\n",
            "157       263.4984 256.0941 270.9028 252.1744 274.8224\n",
            "158       263.5647 255.2691 271.8602 250.8778 276.2516\n",
            "159       263.6229 254.4529 272.7930 249.5986 277.6473\n",
            "160       263.6742 253.6474 273.7011 248.3395 279.0089\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Plot with title “ARIMA Forecast”"
            ],
            "image/png": 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Az0fdODplDsAABAef3111/nz58fOnToC991dnaeOXPmxx9/nJ+fX+KtAwcO9O/f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7+/T0dBMTk7i4uN9///3QoUPHjx+X2JN4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\nFDsAAACJ+D/jTNaf/F5lpwAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "2aNofDRouVks"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}