Exploring Data Analysis - Iris Dataset.ipynb

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   "source": [
    "## Problem Statement:\n",
    "\n",
    "I have done explorary data Analysis on \"Iris\" dataset from the UCI Machine Learning Repository.\n",
    "I have used Matplotlib, a popular data visualization library in Python. You will practice creating different types of visualizations such as line plots, scatter plots, histograms, bar charts, and heatmaps using Matplotlib.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1bec12dd",
   "metadata": {},
   "source": [
    "### Tasks:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d182973",
   "metadata": {},
   "source": [
    "###### 1. Import the necessary libraries: Start by importing the required libraries, including Matplotlib, NumPy, and pandas."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "d0f33f9b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5d7a29a0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "ca95539a",
   "metadata": {},
   "source": [
    "###### 2. Load the dataset: Load the Iris dataset(load_iris) from sklearn.datasets convert it into a pandas DataFrame. The dataset contains 150 rows and 5 columns (4 features and 1 target variable)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "bd80851d",
   "metadata": {},
   "outputs": [],
   "source": [
    "iris_data = load_iris()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "9e94cbe3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['data', 'target', 'frame', 'target_names', 'DESCR', 'feature_names', 'filename', 'data_module'])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_data.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "9c61fbef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['setosa', 'versicolor', 'virginica'], dtype='<U10')"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_data[\"target_names\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "45c47ad3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Add targetName column by mapping with target number\n",
    "dataFrameIris = np.concatenate((iris_data.data,iris_data.target[:,None]),axis =1)\n",
    "dataFrameIris = pd.DataFrame(dataFrameIris, columns = iris_data.feature_names + ['Target'])\n",
    "mapped = dict(zip([0,1,2], iris_data.target_names))\n",
    "dataFrameIris.loc[:,'TargetNames'] = dataFrameIris.Target.map(mapped)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "0bec0470",
   "metadata": {},
   "outputs": [
    {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "      <th>Target</th>\n",
       "      <th>TargetNames</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      "text/plain": [
       "   sepal length (cm)  sepal width (cm)  petal length (cm)  petal width (cm)  \\\n",
       "0                5.1               3.5                1.4               0.2   \n",
       "1                4.9               3.0                1.4               0.2   \n",
       "2                4.7               3.2                1.3               0.2   \n",
       "3                4.6               3.1                1.5               0.2   \n",
       "4                5.0               3.6                1.4               0.2   \n",
       "\n",
       "   Target TargetNames  \n",
       "0     0.0      setosa  \n",
       "1     0.0      setosa  \n",
       "2     0.0      setosa  \n",
       "3     0.0      setosa  \n",
       "4     0.0      setosa  "
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataFrameIris.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "7b2bff1b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Rename the columns in camel case format, to implement graphs.\n",
    "# NOTE: it was giving error while ploting scattered plot with column name having (cm)\n",
    "dataFrameIris = dataFrameIris.rename(columns={'sepal length (cm)': 'sepalLength'})\n",
    "dataFrameIris = dataFrameIris.rename(columns={'sepal width (cm)': 'sepalWidth'})\n",
    "dataFrameIris = dataFrameIris.rename(columns={'petal length (cm)': 'petalLength'})\n",
    "dataFrameIris = dataFrameIris.rename(columns={'petal width (cm)': 'petalWidth'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "c2d6dffa",
   "metadata": {},
   "outputs": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepalLength</th>\n",
       "      <th>sepalWidth</th>\n",
       "      <th>petalLength</th>\n",
       "      <th>petalWidth</th>\n",
       "      <th>Target</th>\n",
       "      <th>TargetNames</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      "text/plain": [
       "   sepalLength  sepalWidth  petalLength  petalWidth  Target TargetNames\n",
       "0          5.1         3.5          1.4         0.2     0.0      setosa\n",
       "1          4.9         3.0          1.4         0.2     0.0      setosa\n",
       "2          4.7         3.2          1.3         0.2     0.0      setosa\n",
       "3          4.6         3.1          1.5         0.2     0.0      setosa\n",
       "4          5.0         3.6          1.4         0.2     0.0      setosa"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataFrameIris.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "a40d8ada",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 150 entries, 0 to 149\n",
      "Data columns (total 6 columns):\n",
      " #   Column       Non-Null Count  Dtype  \n",
      "---  ------       --------------  -----  \n",
      " 0   sepalLength  150 non-null    float64\n",
      " 1   sepalWidth   150 non-null    float64\n",
      " 2   petalLength  150 non-null    float64\n",
      " 3   petalWidth   150 non-null    float64\n",
      " 4   Target       150 non-null    float64\n",
      " 5   TargetNames  150 non-null    object \n",
      "dtypes: float64(5), object(1)\n",
      "memory usage: 7.2+ KB\n"
     ]
    }
   ],
   "source": [
    "dataFrameIris.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55591a78",
   "metadata": {},
   "source": [
    "###### 3. Line Plot: Create a line plot to visualize the trend in the data over time. Since this is not a time-series dataset, create a line plot for each feature against the target variable (species). Customize the plot by adding a title, labels for the x and y-axis, and a legend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "28fc7df7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# multiple line graphs between different features against target\n",
    "y1 = dataFrameIris[\"sepalLength\"]\n",
    "y2 = dataFrameIris[\"sepalWidth\"]\n",
    "y3 = dataFrameIris[\"petalLength\"]\n",
    "y4 = dataFrameIris[\"petalWidth\"]\n",
    "x = dataFrameIris[\"Target\"]\n",
    "\n",
    "plt.plot(x,y1,c = 'hotpink', linewidth = '1',label='sepal length (cm)')\n",
    "plt.plot(x,y2,c = 'blue', linewidth = '1',label='sepal width (cm)')\n",
    "plt.plot(x,y3,c = 'darkred', linewidth = '1',label='petal length (cm)')\n",
    "plt.plot(x,y4,c = 'green', linewidth = '1',label='petal width (cm)')\n",
    "\n",
    "plt.title(\"Graph demostrates different features against target\", color = \"black\")\n",
    "plt.xlabel(\"Target\")\n",
    "plt.legend(bbox_to_anchor=(1.05, 1.0), loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81b0de11",
   "metadata": {},
   "source": [
    "###### 4. Scatter Plot: Create a scatter plot to visualize the relationship between two variables. Create scatter plots for each pair of features, and color the points by species. Customize the plot by adding a title, labels for the x and y-axis, and a legend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "728fdf4b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "color = ['red', 'green',\"brown\"] # set color of legend points\n",
    "\n",
    "count = 0\n",
    "for name, group in dataFrameIris.groupby('Target'):\n",
    "    ax.plot(group.sepalLength, group.sepalWidth, '.', \n",
    "                           label = iris_data.target_names[int(name)], alpha = 0.5, \n",
    "                           c = color[count])\n",
    "    count += 1\n",
    "\n",
    "# set legend\n",
    "ax.legend(numpoints=1, title = \"\", fontsize = 10,bbox_to_anchor=(1.05, 1.0), loc='upper left')\n",
    "\n",
    "# set axis labels \n",
    "plt.xlabel('sepal Length (cm)')\n",
    "plt.ylabel('sepal Width (cm)')\n",
    "plt.title('Graph between sepal Length,sepal Width and Target Names.')\n",
    "ax.grid(True)  # display grid view\n",
    "plt.show(fig) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "a20c260d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "color = ['red', 'green',\"brown\"] # set color of legend points\n",
    "\n",
    "count = 0\n",
    "for name, group in dataFrameIris.groupby('Target'):\n",
    "    ax.plot(group.petalLength, group.petalWidth, '.', \n",
    "                           label = iris_data.target_names[int(name)], alpha = 0.5, \n",
    "                           c = color[count])\n",
    "    count += 1\n",
    "\n",
    "# set legend\n",
    "ax.legend(numpoints=1, title = \"\", fontsize = 10,bbox_to_anchor=(1.05, 1.0), loc='upper left')\n",
    "\n",
    "# set axis labels \n",
    "plt.xlabel('petal Length')\n",
    "plt.ylabel('petal Width')\n",
    "plt.title('Graph between petal Length,petal Width and Target Names.')\n",
    "ax.grid(True)  # display grid view\n",
    "plt.show(fig) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c8b19b5",
   "metadata": {},
   "source": [
    "###### 5. Histogram: Create a histogram to visualize the distribution of a single variable. Create histograms for each feature, and color the bars by species. Customize the plot by adding a title, labels for the x and y-axis, and setting the number of bins."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "ae9aabdb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "color = ['red', 'green',\"brown\"] # set color of legend points\n",
    "\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(1, 2, 1)\n",
    "\n",
    "fig2 = plt.figure()\n",
    "ax2 = fig2.add_subplot(1, 2, 2)\n",
    "\n",
    "fig3 = plt.figure()\n",
    "ax3 = fig3.add_subplot(2, 1, 1)\n",
    "\n",
    "fig4 = plt.figure()\n",
    "ax4 = fig4.add_subplot(2, 1, 2)\n",
    "\n",
    "count = 0\n",
    "for name, group in dataFrameIris.groupby('Target'):\n",
    "    ax1.hist(group.sepalWidth, \n",
    "                           label = iris_data.target_names[int(name)],\n",
    "                           color = color[count])\n",
    "    ax2.hist(group.sepalLength, \n",
    "                           label = iris_data.target_names[int(name)],\n",
    "                           color = color[count])\n",
    "    ax3.hist(group.petalLength, \n",
    "                           label = iris_data.target_names[int(name)],\n",
    "                           color = color[count])\n",
    "    \n",
    "    ax4.hist(group.petalWidth, \n",
    "                           label = iris_data.target_names[int(name)],\n",
    "                           color = color[count])\n",
    "    count += 1\n",
    "\n",
    "# set legend\n",
    "ax1.legend(numpoints=1, title = \"\", fontsize = 10,bbox_to_anchor=(1.05, 1.0), loc='upper left')\n",
    "ax1.set_xlabel('sepal Width')\n",
    "ax1.set_title('Graph demostartes sepal width of 3 different spices.')\n",
    "\n",
    "\n",
    "ax2.legend(numpoints=1, title = \"\", fontsize = 10,bbox_to_anchor=(1.05, 1.0), loc='upper left')\n",
    "ax2.set_xlabel('sepal Length')\n",
    "ax2.set_title('Graph demostartes sepal length of 3 different spices.')\n",
    "\n",
    "ax3.legend(numpoints=1, title = \"\", fontsize = 10,bbox_to_anchor=(1.05, 1.0), loc='upper left')\n",
    "ax3.set_xlabel('petal Width')\n",
    "ax3.set_title('Graph demostartes petal width of 3 different spices.')\n",
    "\n",
    "ax4.legend(numpoints=1, title = \"\", fontsize = 10,bbox_to_anchor=(1.05, 1.0), loc='upper left')\n",
    "ax4.set_xlabel('petal Length')\n",
    "ax4.set_title('Graph demostartes petal length of 3 different spices.')\n",
    "\n",
    "plt.show(fig1) \n",
    "plt.show(fig2) \n",
    "plt.show(fig3) \n",
    "plt.show(fig4) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8023569",
   "metadata": {},
   "source": [
    "###### 6. Bar Chart: Create a bar chart to visualize the frequency or count of a categorical variable. Create a bar chart for the target variable (species), showing the count of each species. Customize the plot by adding a title, labels for the x and y-axis, and changing the color scheme.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "6a649686",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "TargetNames\n",
       "setosa         50\n",
       "versicolor     50\n",
       "virginica      50\n",
       "dtype: int64"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataFrameIris[['TargetNames']].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "f9ebf8a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Text(0.5, 1.0, 'Count Number of species')]"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(x='TargetNames',data=dataFrameIris,\n",
    "              saturation = .5,edgecolor = \"black\",palette = \"Set1\").set(\n",
    "    title=\"Count Number of species\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aafb201c",
   "metadata": {},
   "source": [
    "###### 7. Heatmap: Create a heatmap to visualize the correlation between multiple variables. Create a heatmap showing the correlation matrix between the features. Customize the plot by adding a title and changing the color scheme."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "2a8877e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "FeaturesCorr = dataFrameIris[['sepalLength','sepalWidth','petalLength','petalWidth']].corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "ce13d576",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(FeaturesCorr, cmap=\"cubehelix\", annot=True)\n",
    "plt.title(\"correlation matrix between the features\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "45f6145e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}