Simple_Regression.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyPwSKSNdYK35RJH0SgF30b+",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Aravind8281/Regression/blob/main/Simple_Regression.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "QdrLiuqX-poB",
        "outputId": "94de1e1d-d4f5-44b5-895b-f399bb34f41a"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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        },
        {
          "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": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Intercept: 4.215096157546747\n",
            "Coefficient (slope): 2.7701133864384837\n"
          ]
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from sklearn.linear_model import LinearRegression\n",
        "\n",
        "np.random.seed(42)\n",
        "X = 2 * np.random.rand(100, 1)\n",
        "print(X)\n",
        "y = 4 + 3 * X + np.random.randn(100, 1)\n",
        "print(y)\n",
        "plt.scatter(X, y, alpha=0.8, edgecolors='w')\n",
        "plt.title('Generated Dataset for Linear Regression')\n",
        "plt.xlabel('X')\n",
        "plt.ylabel('y')\n",
        "plt.show()\n",
        "model = LinearRegression()\n",
        "model.fit(X, y)\n",
        "X_new = np.array([[0], [2]])\n",
        "y_pred = model.predict(X_new)\n",
        "plt.scatter(X, y, alpha=0.8, edgecolors='w')\n",
        "plt.plot(X_new, y_pred, 'r-', label='Linear Regression Model')\n",
        "plt.title('Linear Regression Model')\n",
        "plt.xlabel('X')\n",
        "plt.ylabel('y')\n",
        "plt.legend()\n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "xuVVLvFC-5YQ"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}