{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "First I am loading the data. I have to import the required libraries.\n", "\n", "\n", "1. **`numpy`** – Numerical computing, array operations. \n", "2. **`pandas`** – Data manipulation, handling tables (DataFrames). \n", "3. **`statsmodels.api`** – Statistical modeling, hypothesis testing, logistic regression. \n", "4. **`matplotlib.pyplot`** – Basic plotting and visualization. \n", "5. **`seaborn`** – Advanced statistical data visualization. \n", "6. **`StandardScaler` (from `sklearn.preprocessing`)** – Feature scaling (standardization). \n", "7. **`VarianceThreshold` (from `sklearn.feature_selection`)** – Removes low-variance features. \n", "8. **`LogisticRegression` (from `sklearn.linear_model`)** – Implements logistic regression for classification. \n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Index(['id', 'diagnosis', 'radius_mean', 'texture_mean', 'perimeter_mean',\n", " 'area_mean', 'smoothness_mean', 'compactness_mean', 'concavity_mean',\n", " 'concave points_mean', 'symmetry_mean', 'fractal_dimension_mean',\n", " 'radius_se', 'texture_se', 'perimeter_se', 'area_se', 'smoothness_se',\n", " 'compactness_se', 'concavity_se', 'concave points_se', 'symmetry_se',\n", " 'fractal_dimension_se', 'radius_worst', 'texture_worst',\n", " 'perimeter_worst', 'area_worst', 'smoothness_worst',\n", " 'compactness_worst', 'concavity_worst', 'concave points_worst',\n", " 'symmetry_worst', 'fractal_dimension_worst', 'area_mean_category',\n", " 'area_se_category', 'area_worst_category', 'compactness_mean_category',\n", " 'compactness_se_category', 'compactness_worst_category',\n", " 'concave points_mean_category', 'concave points_se_category',\n", " 'concave points_worst_category', 'concavity_mean_category',\n", " 'concavity_se_category', 'concavity_worst_category',\n", " 'fractal_dimension_mean_category', 'fractal_dimension_se_category',\n", " 'fractal_dimension_worst_category', 'perimeter_mean_category',\n", " 'perimeter_se_category', 'perimeter_worst_category',\n", " 'radius_mean_category', 'radius_se_category', 'radius_worst_category',\n", " 'smoothness_mean_category', 'smoothness_se_category',\n", " 'smoothness_worst_category', 'symmetry_mean_category',\n", " 'symmetry_se_category', 'symmetry_worst_category',\n", " 'texture_mean_category', 'texture_se_category',\n", " 'texture_worst_category'],\n", " dtype='object')\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Matplotlib inlie\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "#Model Imports\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.linear_model import LogisticRegression\n", "\n", "\n", "\n", "#Metric Imports\n", "from sklearn import metrics\n", "\n", "# Load Breast Cancer dataset\n", "\n", "df = pd.read_csv(r\"C:\\Users\\zahra\\Downloads\\breast-cancer-categorized.csv\")\n", "df.head()\n", "\n", "print(df.columns)\n", "\n", "# Scatter plot with correct labels\n", "plt.scatter(df['concavity_worst'], df['diagnosis'])\n", "plt.ylabel(\"Malignant (1) or Benign (0)\", fontsize=12)\n", "plt.xlabel(\"Concavity_Worst\", fontsize=12)\n", "plt.show()\n", "\n", "df['diagnosis'] = df['diagnosis'].map({'M': 1, 'B': 0})\n", "\n", "x=df['concavity_worst'].values.reshape(-1,1)\n", "y=df['diagnosis']\n", "\n", "lr=LinearRegression()\n", "lr.fit(x,y)\n", "predictions=lr.predict(x)\n", "plt.scatter(df['concavity_worst'], df['diagnosis'])\n", "plt.plot(df['concavity_worst'], predictions, color='red')\n", "\n", "plt.ylabel(\"Malignant (1) or Benign (0)\", fontsize=12)\n", "plt.xlabel(\"Concavity_Worst\", fontsize=12)\n", "plt.show()\n", "\n", "def sigmoid(x):\n", " a=[]\n", " for item in x:\n", " a.append(1/(1+np.exp(-item)))\n", " return a\n", "x=np.arange(-10.,10.,0.2)\n", "sig=sigmoid(x)\n", "plt.plot(x,sig)\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "\n", "# Scatter plot with correct labels\n", "plt.scatter(df['concavity_worst'], df['diagnosis'])\n", "plt.ylabel(\"Malignant (1) or Benign (0)\", fontsize=12)\n", "plt.xlabel(\"Concavity_Worst\", fontsize=12)\n", "plt.show()\n", "\n", "df['diagnosis'] = df['diagnosis'].map({'M': 1, 'B': 0})\n", "\n", "x=df['concavity_worst'].values.reshape(-1,1)\n", "y=df['diagnosis']" ] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 2 }