{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "from sklearn.decomposition import PCA\n",
        "from sklearn.model_selection import train_test_split\n",
        "from sklearn.linear_model import LogisticRegression\n",
        "from sklearn.metrics import confusion_matrix\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns"
      ],
      "metadata": {
        "id": "o9u3dGbMLbLL"
      },
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "data = {\n",
        "    'Height': [170, 165, 180, 175, 160, 172, 168, 177, 162, 158],\n",
        "    'Weight': [65, 59, 75, 68, 55, 70, 62, 74, 58, 54],\n",
        "    'Age': [30, 25, 35, 28, 22, 32, 27, 33, 24, 21],\n",
        "    'Gender': [1, 0, 1, 1, 0, 1, 0, 1, 0, 0]  # 1 = Male, 0 = Female\n",
        "}\n",
        "df = pd.DataFrame(data)\n",
        "print(df)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IZnEbYrnLbNm",
        "outputId": "7629b502-b3b2-4755-c2bc-9e94f3295467"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "   Height  Weight  Age  Gender\n",
            "0     170      65   30       1\n",
            "1     165      59   25       0\n",
            "2     180      75   35       1\n",
            "3     175      68   28       1\n",
            "4     160      55   22       0\n",
            "5     172      70   32       1\n",
            "6     168      62   27       0\n",
            "7     177      74   33       1\n",
            "8     162      58   24       0\n",
            "9     158      54   21       0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "X = df.drop('Gender', axis=1)\n",
        "y = df['Gender']\n",
        "\n",
        "scaler = StandardScaler()\n",
        "X_scaled = scaler.fit_transform(X)"
      ],
      "metadata": {
        "id": "P_UlYyNALbQK"
      },
      "execution_count": 20,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "pca = PCA(n_components=2)\n",
        "X_pca = pca.fit_transform(X_scaled)\n",
        "\n",
        "X_train, X_test, y_train, y_test = train_test_split(X_pca, y, test_size=0.3, random_state=42)\n",
        "\n",
        "model = LogisticRegression()\n",
        "model.fit(X_train, y_train)\n",
        "\n",
        "y_pred = model.predict(X_test)"
      ],
      "metadata": {
        "id": "xP9B1ejkLbSk"
      },
      "execution_count": 21,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "cm = confusion_matrix(y_test, y_pred)\n",
        "\n",
        "plt.figure(figsize=(5,4))\n",
        "sns.heatmap(cm, annot=True, fmt='d', cmap='Blues', xticklabels=['Female', 'Male'], yticklabels=['Female', 'Male'])\n",
        "plt.xlabel('Predicted Label')\n",
        "plt.ylabel('True Label')\n",
        "plt.title('Confusion Matrix')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 410
        },
        "id": "64EUhZqhLbU5",
        "outputId": "4a95c7b7-87d7-4fba-c0ed-f9d9601d7d1e"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x400 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "y_numeric = pd.factorize(y)[0]\n",
        "\n",
        "plt.figure(figsize=(12, 5))\n",
        "\n",
        "plt.subplot(1, 2, 1)\n",
        "plt.scatter(X_scaled[:, 0], X_scaled[:, 1], c=y_numeric, cmap='coolwarm', edgecolor='k', s=80)\n",
        "plt.xlabel('Original Feature 1')\n",
        "plt.ylabel('Original Feature 2')\n",
        "plt.title('Before PCA: Using First 2 Standardized Features')\n",
        "plt.colorbar(label='Target classes')\n",
        "\n",
        "plt.subplot(1, 2, 2)\n",
        "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=y_numeric, cmap='coolwarm', edgecolor='k', s=80)\n",
        "plt.xlabel('Principal Component 1')\n",
        "plt.ylabel('Principal Component 2')\n",
        "plt.title('After PCA: Projected onto 2 Principal Components')\n",
        "plt.colorbar(label='Target classes')\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 440
        },
        "id": "ldlKXwt7LbXU",
        "outputId": "65e8f7f4-430d-4681-86fa-418574a0eb0b"
      },
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 4 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}