{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"authorship_tag":"ABX9TyNB0NyFcHFrlJeZhb/vLb0E"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","execution_count":2,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"vn4OOm2QfXn1","executionInfo":{"status":"ok","timestamp":1784819192676,"user_tz":-180,"elapsed":1052,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"57cb8435-a631-4a64-a836-92c73a66d3ef"},"outputs":[{"output_type":"stream","name":"stdout","text":["Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n"]}],"source":["#connect google colab to the drive\n","\n","from google.colab import  drive\n","drive.mount('/content/drive')"]},{"cell_type":"code","source":["#import necessary modules\n","import numpy as np\n","import pandas as pd\n","from matplotlib import pyplot as plt\n","import seaborn as sns\n","import warnings\n","warnings.filterwarnings(\"ignore\")"],"metadata":{"id":"vFz6e-6rgV2j","executionInfo":{"status":"ok","timestamp":1784819705488,"user_tz":-180,"elapsed":2225,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}}},"execution_count":3,"outputs":[]},{"cell_type":"code","source":["# load the dataset using pandas\n","df = pd.read_csv(\"/content/drive/MyDrive/Projects/IRIS/Iris.csv\")"],"metadata":{"id":"AjTInSZLhBJN","executionInfo":{"status":"ok","timestamp":1784819861916,"user_tz":-180,"elapsed":4,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}}},"execution_count":7,"outputs":[]},{"cell_type":"code","source":["# delete the ID column\n","if \"Id\" in df.columns:\n","    df = df.drop(columns=[\"Id\"])"],"metadata":{"id":"DxsxC-edhIWR","executionInfo":{"status":"ok","timestamp":1784819865838,"user_tz":-180,"elapsed":5,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}}},"execution_count":8,"outputs":[]},{"cell_type":"code","source":["# display the first 10 rows of the dataset\n","print(\"First 10 rows:\")\n","print(df.head(10))"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"rU8M4kfmhJO-","executionInfo":{"status":"ok","timestamp":1784819869790,"user_tz":-180,"elapsed":17,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"013d31be-07c6-4bb0-ff24-53c384e8c54e"},"execution_count":9,"outputs":[{"output_type":"stream","name":"stdout","text":["First 10 rows:\n","   SepalLengthCm  SepalWidthCm  PetalLengthCm  PetalWidthCm      Species\n","0            5.1           3.5            1.4           0.2  Iris-setosa\n","1            4.9           3.0            1.4           0.2  Iris-setosa\n","2            4.7           3.2            1.3           0.2  Iris-setosa\n","3            4.6           3.1            1.5           0.2  Iris-setosa\n","4            5.0           3.6            1.4           0.2  Iris-setosa\n","5            5.4           3.9            1.7           0.4  Iris-setosa\n","6            4.6           3.4            1.4           0.3  Iris-setosa\n","7            5.0           3.4            1.5           0.2  Iris-setosa\n","8            4.4           2.9            1.4           0.2  Iris-setosa\n","9            4.9           3.1            1.5           0.1  Iris-setosa\n"]}]},{"cell_type":"code","source":["# display a description of the dataset using pandas\n","print(\"\\nDataset Description:\")\n","print(df.describe())"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ZBE7G1X4hORC","executionInfo":{"status":"ok","timestamp":1784819883945,"user_tz":-180,"elapsed":50,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"46bc2ee6-e46c-4682-b6b9-02ffaff7c3b3"},"execution_count":10,"outputs":[{"output_type":"stream","name":"stdout","text":["\n","Dataset Description:\n","       SepalLengthCm  SepalWidthCm  PetalLengthCm  PetalWidthCm\n","count     150.000000    150.000000     150.000000    150.000000\n","mean        5.843333      3.054000       3.758667      1.198667\n","std         0.828066      0.433594       1.764420      0.763161\n","min         4.300000      2.000000       1.000000      0.100000\n","25%         5.100000      2.800000       1.600000      0.300000\n","50%         5.800000      3.000000       4.350000      1.300000\n","75%         6.400000      3.300000       5.100000      1.800000\n","max         7.900000      4.400000       6.900000      2.500000\n"]}]},{"cell_type":"code","source":["# display information about the attributes using pandas (data type, number of values ...)\n","print(\"\\nDataset Information:\")\n","df.info()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"1B4q6Jn5hPRh","executionInfo":{"status":"ok","timestamp":1784819898918,"user_tz":-180,"elapsed":25,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"cff42b3d-e053-4f6b-f3f9-70830b1bea90"},"execution_count":11,"outputs":[{"output_type":"stream","name":"stdout","text":["\n","Dataset Information:\n","<class 'pandas.core.frame.DataFrame'>\n","RangeIndex: 150 entries, 0 to 149\n","Data columns (total 5 columns):\n"," #   Column         Non-Null Count  Dtype  \n","---  ------         --------------  -----  \n"," 0   SepalLengthCm  150 non-null    float64\n"," 1   SepalWidthCm   150 non-null    float64\n"," 2   PetalLengthCm  150 non-null    float64\n"," 3   PetalWidthCm   150 non-null    float64\n"," 4   Species        150 non-null    object \n","dtypes: float64(4), object(1)\n","memory usage: 6.0+ KB\n"]}]},{"cell_type":"code","source":["# display number of samples of each class\n","print(\"\\nNumber of samples in each class:\")\n","print(df.iloc[:, -1].value_counts())"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"bb1EDcbKh4Sg","executionInfo":{"status":"ok","timestamp":1784819908538,"user_tz":-180,"elapsed":11,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"e94320e0-087d-43d5-9472-ac95479af57e"},"execution_count":12,"outputs":[{"output_type":"stream","name":"stdout","text":["\n","Number of samples in each class:\n","Species\n","Iris-setosa        50\n","Iris-versicolor    50\n","Iris-virginica     50\n","Name: count, dtype: int64\n"]}]},{"cell_type":"code","source":["# Are there any null values?\n","print(\"\\nNull values in each column:\")\n","print(df.isnull().sum())\n","\n","if df.isnull().values.any():\n","    print(\"\\nThe dataset contains null values.\")\n","else:\n","    print(\"\\nThe dataset does not contain any null values.\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"deTkZxAGiQdX","executionInfo":{"status":"ok","timestamp":1784819926585,"user_tz":-180,"elapsed":6,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"efa6c618-9548-4a71-88ff-bb42b8b8b1ae"},"execution_count":13,"outputs":[{"output_type":"stream","name":"stdout","text":["\n","Null values in each column:\n","SepalLengthCm    0\n","SepalWidthCm     0\n","PetalLengthCm    0\n","PetalWidthCm     0\n","Species          0\n","dtype: int64\n","\n","The dataset does not contain any null values.\n"]}]},{"cell_type":"code","source":["# display a histogram for each attribute\n","df.hist(figsize=(10, 10))\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":784},"id":"pFnZhvQXi6qW","executionInfo":{"status":"ok","timestamp":1784819945035,"user_tz":-180,"elapsed":918,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"6ae99d3d-c95b-4076-bb92-5426cd9d774f"},"execution_count":14,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1000x1000 with 4 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# display a scatterplot for each class (red, orange, blue) for (verginical, versicolor, setosa) respectively axis are sepal length vs sepal width, petal length vs petal width, sepal length vs petal length, sepal width vs petal width\n","\n","# Colors for each class\n","colors = {\n","    \"Iris-virginica\": \"red\",\n","    \"Iris-versicolor\": \"orange\",\n","    \"Iris-setosa\": \"blue\"\n","}\n","\n","plots = [\n","    (\"SepalLengthCm\", \"SepalWidthCm\"),\n","    (\"PetalLengthCm\", \"PetalWidthCm\"),\n","    (\"SepalLengthCm\", \"PetalLengthCm\"),\n","    (\"SepalWidthCm\", \"PetalWidthCm\")\n","]\n","\n","for x, y in plots:\n","    plt.figure(figsize=(6,5))\n","\n","    for cls, color in colors.items():\n","        subset = df[df[\"Species\"] == cls]\n","        plt.scatter(subset[x], subset[y], color=color, label=cls)\n","\n","    plt.xlabel(x)\n","    plt.ylabel(y)\n","    plt.title(f\"{x} vs {y}\")\n","    plt.legend()\n","    plt.show()\n","\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"mH_52WE0i_5L","executionInfo":{"status":"ok","timestamp":1784820253332,"user_tz":-180,"elapsed":1277,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"fa63ec7d-b50e-4027-8164-71532e67600a"},"execution_count":15,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 600x500 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}}]},{"cell_type":"code","source":["# what is your interpretation of the scatterplots\n","\n","# Sepal Length vs Sepal Width: Setosa is clearly separated, while Versicolor and Virginica overlap.\n","# Petal Length vs Petal Width: This pair provides the best separation between the three classes.\n","# Sepal Length vs Petal Length: Setosa is distinct, but Versicolor and Virginica have some overlap.\n","# Sepal Width vs Petal Width: Setosa remains well separated, while the other two classes partially overlap."],"metadata":{"id":"gOvlfZv9k3VV"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# display correlation matrix of the attributes\n","corr_matrix = df.iloc[:, :-1].corr()\n","\n","print(corr_matrix)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"L7zB36QKlHAf","executionInfo":{"status":"ok","timestamp":1784820433392,"user_tz":-180,"elapsed":11,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"f5bd34f8-c5fd-47a4-d2ce-4b902c487d98"},"execution_count":16,"outputs":[{"output_type":"stream","name":"stdout","text":["               SepalLengthCm  SepalWidthCm  PetalLengthCm  PetalWidthCm\n","SepalLengthCm       1.000000     -0.109369       0.871754      0.817954\n","SepalWidthCm       -0.109369      1.000000      -0.420516     -0.356544\n","PetalLengthCm       0.871754     -0.420516       1.000000      0.962757\n","PetalWidthCm        0.817954     -0.356544       0.962757      1.000000\n"]}]},{"cell_type":"code","source":["# display a heatmap for the correlation matrix\n","plt.figure(figsize=(6,5))\n","\n","sns.heatmap(corr_matrix,\n","            annot=True,\n","            cmap=\"coolwarm\",\n","            fmt=\".2f\")\n","\n","plt.title(\"Correlation Matrix\")\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":563},"id":"QZ3Jc7eklhkc","executionInfo":{"status":"ok","timestamp":1784820444729,"user_tz":-180,"elapsed":227,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"30b33030-2f0c-4ec7-e5b7-960b5331e528"},"execution_count":17,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 600x500 with 2 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# what is your interpretation of the values of the matrix?\n","\n","# Petal Length and Petal Width have a very strong positive correlation (close to 1), meaning they increase together."],"metadata":{"id":"U4a3tLcrlhZf"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# encode class variable using label encoder\n","from sklearn.preprocessing import LabelEncoder\n","\n","encoder = LabelEncoder()\n","\n","df[\"Species\"] = encoder.fit_transform(df[\"Species\"])\n","\n","print(encoder.classes_)      # Display class names\n","print(df.head())"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"otaTpp7BmBbQ","executionInfo":{"status":"ok","timestamp":1784820638541,"user_tz":-180,"elapsed":140,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"baed3e5a-622f-46e4-a0e6-9153c82a5140"},"execution_count":18,"outputs":[{"output_type":"stream","name":"stdout","text":["['Iris-setosa' 'Iris-versicolor' 'Iris-virginica']\n","   SepalLengthCm  SepalWidthCm  PetalLengthCm  PetalWidthCm  Species\n","0            5.1           3.5            1.4           0.2        0\n","1            4.9           3.0            1.4           0.2        0\n","2            4.7           3.2            1.3           0.2        0\n","3            4.6           3.1            1.5           0.2        0\n","4            5.0           3.6            1.4           0.2        0\n"]}]},{"cell_type":"code","source":["# what is the code of the third class?\n","print(encoder.classes_)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"SnZlq2ndmDA1","executionInfo":{"status":"ok","timestamp":1784820641786,"user_tz":-180,"elapsed":4,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"0640bfe1-879a-4e65-82e1-80caae1d741c"},"execution_count":19,"outputs":[{"output_type":"stream","name":"stdout","text":["['Iris-setosa' 'Iris-versicolor' 'Iris-virginica']\n"]}]},{"cell_type":"code","source":["# split the dataset into training 70%, and testing 30%\n","from sklearn.model_selection import train_test_split\n","\n","# Features and target\n","X = df.drop(\"Species\", axis=1)\n","y = df[\"Species\"]\n","\n","# Split the dataset\n","X_train, X_test, y_train, y_test = train_test_split(\n","    X,\n","    y,\n","    test_size=0.30,\n","    random_state=42\n",")\n","\n","print(\"Training samples:\", len(X_train))\n","print(\"Testing samples:\", len(X_test))"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"HcfCmTAAmC9L","executionInfo":{"status":"ok","timestamp":1784820750922,"user_tz":-180,"elapsed":423,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"4f7c720b-88d0-449e-a917-2a2c6c1e1fa2"},"execution_count":20,"outputs":[{"output_type":"stream","name":"stdout","text":["Training samples: 105\n","Testing samples: 45\n"]}]},{"cell_type":"code","source":["# use logistic regression for classification\n","from sklearn.linear_model import LogisticRegression\n","from sklearn.metrics import accuracy_score\n","\n","# Create and train the model\n","model = LogisticRegression(max_iter=200)\n","model.fit(X_train, y_train)\n","\n","# Predict on the test set\n","y_pred = model.predict(X_test)\n","\n","# Display accuracy\n","logisticRegressionAccuracy = accuracy_score(y_test, y_pred)\n","print(\"Logistic Regression Accuracy:\", logisticRegressionAccuracy)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"YLYwCUjimC1d","executionInfo":{"status":"ok","timestamp":1784820947638,"user_tz":-180,"elapsed":41,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"a1124452-80de-4226-b5fe-38d836e71601"},"execution_count":25,"outputs":[{"output_type":"stream","name":"stdout","text":["Logistic Regression Accuracy: 1.0\n"]}]},{"cell_type":"code","source":["\n","# use KNN for classification\n","\n","from sklearn.neighbors import KNeighborsClassifier\n","from sklearn.metrics import accuracy_score\n","\n","# Create and train the KNN model\n","knn = KNeighborsClassifier(n_neighbors=5)\n","knn.fit(X_train, y_train)\n","\n","# Predict on the test set\n","y_pred_knn = knn.predict(X_test)\n","\n","# Display accuracy\n","knn_accuracy = accuracy_score(y_test, y_pred_knn)\n","print(\"KNN Accuracy:\", knn_accuracy)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"tRVG1auAlgnn","executionInfo":{"status":"ok","timestamp":1784820834545,"user_tz":-180,"elapsed":156,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"ed6dad62-603e-4690-ea62-4789cba379ce"},"execution_count":22,"outputs":[{"output_type":"stream","name":"stdout","text":["KNN Accuracy: 1.0\n"]}]},{"cell_type":"code","source":["# use decision tree for classification\n","from sklearn.tree import DecisionTreeClassifier\n","\n","# Create and train the Decision Tree model\n","dt = DecisionTreeClassifier(random_state=42)\n","dt.fit(X_train, y_train)\n","\n","# Predict on the test set\n","y_pred_dt = dt.predict(X_test)\n","\n","# Display accuracy\n","dt_accuracy = accuracy_score(y_test, y_pred_dt)\n","print(\"Decision Tree Accuracy:\", dt_accuracy)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"19alNwPcnAXY","executionInfo":{"status":"ok","timestamp":1784820846194,"user_tz":-180,"elapsed":72,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"0ab5653b-0c2c-4530-d014-c6ca079368a1"},"execution_count":23,"outputs":[{"output_type":"stream","name":"stdout","text":["Decision Tree Accuracy: 1.0\n"]}]},{"cell_type":"code","source":["# compare the accuracies of each model\n","print(\"Logistic Regression Accuracy:\", logisticRegressionAccuracy)\n","print(\"KNN Accuracy:\", knn_accuracy)\n","print(\"Decision Tree Accuracy:\", dt_accuracy)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"5rWFYPEJnAS7","executionInfo":{"status":"ok","timestamp":1784820955865,"user_tz":-180,"elapsed":3,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"8bdd1ffa-0092-44a2-988d-27ea0654a5d5"},"execution_count":26,"outputs":[{"output_type":"stream","name":"stdout","text":["Logistic Regression Accuracy: 1.0\n","KNN Accuracy: 1.0\n","Decision Tree Accuracy: 1.0\n"]}]},{"cell_type":"code","source":["#try to change the hyperparameters of each model\n","# Logistic Regression\n","lr = LogisticRegression(C=0.5, max_iter=500)\n","lr.fit(X_train, y_train)\n","lr_accuracy = accuracy_score(y_test, lr.predict(X_test))\n","\n","# KNN\n","knn = KNeighborsClassifier(n_neighbors=3)\n","knn.fit(X_train, y_train)\n","knn_accuracy_new = accuracy_score(y_test, knn.predict(X_test))\n","\n","# Decision Tree\n","dt = DecisionTreeClassifier(max_depth=3, random_state=45)\n","dt.fit(X_train, y_train)\n","dt_accuracy_new = accuracy_score(y_test, dt.predict(X_test))\n","\n","print(\"Logistic Regression:\", lr_accuracy)\n","print(\"KNN:\", knn_accuracy_new)\n","print(\"Decision Tree:\", dt_accuracy_new)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"RO4KguafnAPz","executionInfo":{"status":"ok","timestamp":1784821175383,"user_tz":-180,"elapsed":338,"user":{"displayName":"Abadibasad","userId":"03649370888765380771"}},"outputId":"1716d6da-fed1-4801-872f-cf61dfbd50c6"},"execution_count":28,"outputs":[{"output_type":"stream","name":"stdout","text":["Logistic Regression: 1.0\n","KNN: 1.0\n","Decision Tree: 1.0\n"]}]},{"cell_type":"code","source":["# are there any changes in the accuracies?\n","# No there were no any changes. The dataset is very small."],"metadata":{"id":"3dJbzbe4nEA0"},"execution_count":null,"outputs":[]}]}