{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "#Perform a practical on Linear regression."
      ],
      "metadata": {
        "id": "Y0oohXznweUW"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.linear_model import LinearRegression\n",
        "from sklearn.model_selection import train_test_split\n",
        "import numpy as np\n",
        "\n",
        "# Assuming 'data' DataFrame is already loaded with 'x' and 'y' columns\n",
        "\n",
        "# Split data into training and testing sets (using a 80/20 split)\n",
        "# Reshape the input data as required by scikit-learn\n",
        "X = data[['x']] # Use double brackets to keep it as a DataFrame for scikit-learn\n",
        "y = data['y']\n",
        "\n",
        "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
        "\n",
        "# Create a Linear Regression model\n",
        "model = LinearRegression()\n",
        "\n",
        "# Train the model\n",
        "model.fit(X_train, y_train)\n",
        "\n",
        "# Make predictions on the test set\n",
        "y_pred = model.predict(X_test)\n",
        "\n",
        "# Display the first few predictions and actual values\n",
        "print(\"Predictions vs Actual:\")\n",
        "for i in range(min(5, len(y_test))):\n",
        "    print(f\"Predicted: {y_pred[i]:.2f}, Actual: {y_test.iloc[i]:.2f}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0SpUGnFax1vA",
        "outputId": "04548a25-b909-43fd-cf95-95c1f94a830d"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Predictions vs Actual:\n",
            "Predicted: 100.03, Actual: 96.62\n",
            "Predicted: 97.02, Actual: 94.30\n",
            "Predicted: 11.92, Actual: 14.56\n",
            "Predicted: 86.01, Actual: 86.82\n",
            "Predicted: 91.01, Actual: 94.37\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Create a scatter plot of actual vs predicted values\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.scatter(y_test, y_pred, alpha=0.5)\n",
        "plt.xlabel(\"Actual Values\")\n",
        "plt.ylabel(\"Predicted Values\")\n",
        "plt.title(\"Actual vs. Predicted Values\")\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "tubutzLTyNd1",
        "outputId": "d44f1eb6-4e03-4e5e-cd08-0c54251e906e"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}