diff --git a/main.ipynb b/main.ipynb new file mode 100644 index 0000000..75cb4eb --- /dev/null +++ b/main.ipynb @@ -0,0 +1,1652 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Lab | Matplotlib & Seaborn\n", + "\n", + "#### Import all the necessary libraries here:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# Libraries\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Challenge 1\n", + "\n", + "#### The data we will use in this challenge is:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "x = np.arange(0,100)\n", + "y = x*2\n", + "z = x**2" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# First plot (x, y)\n", + "plt.figure(1, figsize=(10, 4)) #First Plot\n", + "plt.plot(x, y, label='y = 2x', color='blue')\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.plot(x, y, linewidth=3.0, color='blue')\n", + "plt.title('Plot of y = 2x', )\n", + "plt.legend()\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# # # Second plot (x, z)\n", + "plt.figure(1, figsize=(6, 4))\n", + "plt.plot(x, z, label='z = x^2', color='red',linestyle='--', linewidth=2.0)\n", + "plt.xlabel('x')\n", + "plt.ylabel('z')\n", + "plt.title('Plot of z = x^2')\n", + "plt.tight_layout()\n", + "plt.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Plot (x, y) and (x, z).\n", + "There are 2 ways of doing this. Do in both ways.\n", + "\n", + "**Hint**: Check out the nrows, ncols and index arguments of subplots. \n", + "\n", + "Also, play around with the linewidth and style. Use the ones you're most happy with." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use plt.subplots(nrows=1, ncols=2) to create the plot." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a figure with two subplots\n", + "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(10, 5))\n", + "\n", + "# Plot (x, y) on the first subplot\n", + "ax1.plot(x, y, color='blue', linewidth=2, linestyle='-', label='y = 2x')\n", + "ax1.set_xlabel('x')\n", + "ax1.set_ylabel('y')\n", + "ax1.set_title('Plot of y = 2x')\n", + "ax1.legend()\n", + "\n", + "# Plot (x, z) on the second subplot\n", + "ax2.plot(x, z, color='green', linewidth=2, linestyle='--', label='z = x^2')\n", + "ax2.set_xlabel('x')\n", + "ax2.set_ylabel('z')\n", + "ax2.set_title('Plot of z = x^2')\n", + "ax2.legend()\n", + "\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use your previous code but now, resize your plot.\n", + "**Hint**: Add the figsize argument in plt.subplots().\n", + "\n", + "If you want, try to add a title to the plot or even axes labels. You can also play with the fontweight and fontsize of the titles and labels. " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(12, 6))\n", + "\n", + "# Plot (x, y) on the first subplot\n", + "ax1.plot(x, y, color='blue', linewidth=2, linestyle='-', label='y = 2x')\n", + "ax1.set_xlabel('x', fontsize=16, fontweight='bold')\n", + "ax1.set_ylabel('y', fontsize=16, fontweight='bold')\n", + "ax1.set_title('Plot of y = 2x', fontsize=18, fontweight='bold')\n", + "ax1.legend()\n", + "\n", + "# Plot (x, z) on the second subplot\n", + "ax2.plot(x, z, color='green', linewidth=2, linestyle='--', label='z = x^2')\n", + "ax2.set_xlabel('x', fontsize=16, fontweight='bold')\n", + "ax2.set_ylabel('z', fontsize=16, fontweight='bold')\n", + "ax2.set_title('Plot of z = x^2', fontsize=18, fontweight='bold')\n", + "ax2.legend()\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Plot both $y=x^2$ and $y=e^x$ in the same plot using normal and logarithmic scale.\n", + "**Hint**: Use `set_xscale` and `set_yscale`." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.arange(0,100)\n", + "y1 = x**2\n", + "y2 = np.exp(x)\n", + "\n", + "fig, charts = plt.subplots(nrows=2, ncols=1, figsize=(20,10))\n", + "\n", + "charts[0].set_title('Linear Scale',fontweight='bold')\n", + "charts[0].plot(x, y1, 'y--')\n", + "charts[0].plot(x, y2, 'g-')\n", + "\n", + "charts[1].set_title('Log Scale')\n", + "charts[1].plot(x, y1, 'p--')\n", + "charts[1].plot(x, y2, 'r-')\n", + "\n", + "charts[1].set_xscale('log')\n", + "charts[1].set_yscale('log')\n", + "\n", + "charts[1].grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### As a bonus challenge, try to add a legend to the plot." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, charts = plt.subplots(nrows=2, ncols=1, figsize=(20,10))\n", + "\n", + "charts[0].set_title('Linear scale')\n", + "charts[0].plot(x, y1, 'y--', label='x^2')\n", + "charts[0].plot(x, y2, 'g-', label='exp(x)')\n", + "\n", + "charts[1].set_title('Log scale')\n", + "charts[1].plot(x, y1, 'g--', label='x^2')\n", + "charts[1].plot(x, y2, 'y-', label='exp(x)')\n", + "\n", + "charts[1].set_xscale('log')\n", + "charts[1].set_yscale('log')\n", + "\n", + "charts[0].grid(True)\n", + "charts[1].grid(True)\n", + "charts[0].legend()\n", + "charts[1].legend()\n", + "\n", + "fig.suptitle('Plotting in linear and log scales')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Challenge 2\n", + "#### Import the `Fitbit2` dataset and store it in a variable called `fitbit`. You can find the dataset in Ironhack's database:\n", + "* db: `fitbit`\n", + "* table: `fitbit2`" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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DateCalorie burnedStepsDistanceFloorsMinutes SedentaryMinutes Lightly ActiveMinutes Fairly ActiveMinutes Very ActiveActivity Calories...Distance_milesDaysDays_encodedWork_or_WeekendHours SleepSleep efficiencyYesterday_sleepYesterday_sleep_efficiencyMonthsMonths_encoded
02015-05-0819349050.6501.35546001680...0.403891Friday4.016.40000092.0863310.0000000.000000May5
12015-05-0936311892514.114611.00031661602248...8.767545Saturday5.007.56666792.4643586.40000092.086331May5
22015-05-1032041422810.571602.00022614771719...6.567891Sunday6.006.45000088.7614687.56666792.464358May5
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3 rows × 24 columns

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" + ], + "text/plain": [ + " Date Calorie burned Steps Distance Floors Minutes Sedentary \\\n", + "0 2015-05-08 1934 905 0.65 0 1.355 \n", + "1 2015-05-09 3631 18925 14.11 4 611.000 \n", + "2 2015-05-10 3204 14228 10.57 1 602.000 \n", + "\n", + " Minutes Lightly Active Minutes Fairly Active Minutes Very Active \\\n", + "0 46 0 0 \n", + "1 316 61 60 \n", + "2 226 14 77 \n", + "\n", + " Activity Calories ... Distance_miles Days Days_encoded \\\n", + "0 1680 ... 0.403891 Friday 4.0 \n", + "1 2248 ... 8.767545 Saturday 5.0 \n", + "2 1719 ... 6.567891 Sunday 6.0 \n", + "\n", + " Work_or_Weekend Hours Sleep Sleep efficiency Yesterday_sleep \\\n", + "0 1 6.400000 92.086331 0.000000 \n", + "1 0 7.566667 92.464358 6.400000 \n", + "2 0 6.450000 88.761468 7.566667 \n", + "\n", + " Yesterday_sleep_efficiency Months Months_encoded \n", + "0 0.000000 May 5 \n", + "1 92.086331 May 5 \n", + "2 92.464358 May 5 \n", + "\n", + "[3 rows x 24 columns]" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fitbit = pd.read_csv(\"Fitbit2.csv\", sep=',')\n", + "fitbit.head(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 367 entries, 0 to 366\n", + "Data columns (total 24 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Date 367 non-null object \n", + " 1 Calorie burned 367 non-null int64 \n", + " 2 Steps 367 non-null int64 \n", + " 3 Distance 367 non-null float64\n", + " 4 Floors 367 non-null int64 \n", + " 5 Minutes Sedentary 367 non-null float64\n", + " 6 Minutes Lightly Active 367 non-null int64 \n", + " 7 Minutes Fairly Active 367 non-null int64 \n", + " 8 Minutes Very Active 367 non-null int64 \n", + " 9 Activity Calories 367 non-null int64 \n", + " 10 MinutesOfSleep 367 non-null int64 \n", + " 11 MinutesOfBeingAwake 367 non-null int64 \n", + " 12 NumberOfAwakings 367 non-null int64 \n", + " 13 LengthOfRestInMinutes 367 non-null int64 \n", + " 14 Distance_miles 367 non-null float64\n", + " 15 Days 367 non-null object \n", + " 16 Days_encoded 367 non-null float64\n", + " 17 Work_or_Weekend 367 non-null int64 \n", + " 18 Hours Sleep 367 non-null float64\n", + " 19 Sleep efficiency 367 non-null float64\n", + " 20 Yesterday_sleep 367 non-null float64\n", + " 21 Yesterday_sleep_efficiency 367 non-null float64\n", + " 22 Months 367 non-null object \n", + " 23 Months_encoded 367 non-null int64 \n", + "dtypes: float64(8), int64(13), object(3)\n", + "memory usage: 68.9+ KB\n" + ] + } + ], + "source": [ + "fitbit.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### From the Fitbit data, we want to visually understand:\n", + "\n", + "How the average number of steps change by month. Use the appropriate visualization to show the median steps by month. Is Fitbitter more active on weekend or workdays? All plots must be in the same jupyter notebook cell.\n", + "\n", + "**Hints**:\n", + "\n", + "* Use Months_encoded and Week_or Weekend columns.\n", + "* Use matplolib.pyplot object oriented API.\n", + "* Set your size figure to 12,4\n", + "* Explore plt.sca\n", + "* Explore plt.xticks\n", + "* Save your figures in a folder called `figures` in your repo. " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# MEDIAN STEPS BY MONTH_ENCODED\n", + "avg_steps_month = fitbit.groupby('Months_encoded')['Steps'].median()\n", + "\n", + "# MEDIAN STEPS BY WORK_OR_WEEKEND\n", + "avg_steps__work_or_weekend = fitbit.groupby('Work_or_Weekend')['Steps'].median()\n", + "\n", + "\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "# Plot 1: Average number of steps by month\n", + "plt.subplot(1, 2, 1)\n", + "plt.bar(avg_steps_month.index, avg_steps_month.values)\n", + "plt.xlabel('Month')\n", + "plt.ylabel('Median Steps')\n", + "plt.title('Avg Number of Steps by Month')\n", + "plt.xticks(range(1, 13), ['Jan', 'Feb', 'Mar', 'Apr', 'May', 'Jun', 'Jul', 'Aug', 'Sep', 'Oct', 'Nov', 'Dec'])\n", + "\n", + "# Plot 2: Average number of steps on weekdays and weekends\n", + "plt.subplot(1, 2, 2)\n", + "labels = ['Weekend', 'Workday']\n", + "plt.pie(avg_steps__work_or_weekend, labels=labels, autopct='%1.1f%%')\n", + "plt.title('Median Number of Steps: Workdays vs. Weekends')\n", + "plt.savefig('figures/steps_by_month_and_activity.png')\n", + "\n", + "# Show the plots\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Write a loop to plot 3 scatter plots of the following features:\n", + "\n", + "* Minutes Lightly Active vs Steps \n", + "* Minutes Very Active vs Steps \n", + "* Minutes Sedentary vs Steps " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "feature_pairs = [('Minutes Lightly Active', 'Steps'),\n", + " ('Minutes Very Active', 'Steps'),\n", + " ('Minutes Sedentary', 'Steps')]\n", + "\n", + "\n", + "plt.figure(figsize=(20, 10))\n", + "plt.subplots_adjust(wspace=0.3) #space between plots\n", + "colors = ['red', 'green', 'blue'] \n", + "\n", + "for i, (x_feature, y_feature) in enumerate(feature_pairs, 1):\n", + " plt.subplot(1, 3, i)\n", + " plt.scatter(fitbit[x_feature], fitbit[y_feature], color=colors[i-1], marker='o', alpha=0.5)\n", + " plt.xlabel(x_feature)\n", + " plt.ylabel(y_feature)\n", + " plt.title(f'Scatter Plot: {x_feature} vs. {y_feature}')\n", + " plt.grid(True) # Grid \n", + "\n", + "plt.savefig('figures/scatter_plots.png')\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Challenge 3\n", + "\n", + "#### Import the `titanic` dataset and store it in a variable called `titanic`. You can find the dataset in Ironhack's database:\n", + "* db: `titanic`\n", + "* table: `titanic`" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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PassengerIdSurvivedPclassNameGenderAgeSibSpParchTicketFareCabinEmbarked
010.03Braund, Mr. Owen Harrismale22.00000010A/5 211717.2500U0S
121.01Cumings, Mrs. John Bradley (Florence Briggs Th...female38.00000010PC 1759971.2833C85C
231.03Heikkinen, Miss. Lainafemale26.00000000STON/O2. 31012827.9250U0S
341.01Futrelle, Mrs. Jacques Heath (Lily May Peel)female35.0000001011380353.1000C123S
450.03Allen, Mr. William Henrymale35.000000003734508.0500U0S
.......................................
13041305NaN3Spector, Mr. Woolfmale29.51319000A.5. 32368.0500U0S
13051306NaN1Oliva y Ocana, Dona. Ferminafemale39.00000000PC 17758108.9000C105C
13061307NaN3Saether, Mr. Simon Sivertsenmale38.50000000SOTON/O.Q. 31012627.2500U0S
13071308NaN3Ware, Mr. Frederickmale29.513190003593098.0500U0S
13081309NaN3Peter, Master. Michael Jmale25.31543511266822.3583U0C
\n", + "

1309 rows × 12 columns

\n", + "
" + ], + "text/plain": [ + " PassengerId Survived Pclass \\\n", + "0 1 0.0 3 \n", + "1 2 1.0 1 \n", + "2 3 1.0 3 \n", + "3 4 1.0 1 \n", + "4 5 0.0 3 \n", + "... ... ... ... \n", + "1304 1305 NaN 3 \n", + "1305 1306 NaN 1 \n", + "1306 1307 NaN 3 \n", + "1307 1308 NaN 3 \n", + "1308 1309 NaN 3 \n", + "\n", + " Name Gender Age \\\n", + "0 Braund, Mr. Owen Harris male 22.000000 \n", + "1 Cumings, Mrs. John Bradley (Florence Briggs Th... female 38.000000 \n", + "2 Heikkinen, Miss. Laina female 26.000000 \n", + "3 Futrelle, Mrs. Jacques Heath (Lily May Peel) female 35.000000 \n", + "4 Allen, Mr. William Henry male 35.000000 \n", + "... ... ... ... \n", + "1304 Spector, Mr. Woolf male 29.513190 \n", + "1305 Oliva y Ocana, Dona. Fermina female 39.000000 \n", + "1306 Saether, Mr. Simon Sivertsen male 38.500000 \n", + "1307 Ware, Mr. Frederick male 29.513190 \n", + "1308 Peter, Master. Michael J male 25.315435 \n", + "\n", + " SibSp Parch Ticket Fare Cabin Embarked \n", + "0 1 0 A/5 21171 7.2500 U0 S \n", + "1 1 0 PC 17599 71.2833 C85 C \n", + "2 0 0 STON/O2. 3101282 7.9250 U0 S \n", + "3 1 0 113803 53.1000 C123 S \n", + "4 0 0 373450 8.0500 U0 S \n", + "... ... ... ... ... ... ... \n", + "1304 0 0 A.5. 3236 8.0500 U0 S \n", + "1305 0 0 PC 17758 108.9000 C105 C \n", + "1306 0 0 SOTON/O.Q. 3101262 7.2500 U0 S \n", + "1307 0 0 359309 8.0500 U0 S \n", + "1308 1 1 2668 22.3583 U0 C \n", + "\n", + "[1309 rows x 12 columns]" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "titanic = pd.read_csv(\"titanic.csv\", sep=',')\n", + "titanic" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Explore the titanic dataset using Pandas dtypes." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "PassengerId int64\n", + "Survived float64\n", + "Pclass int64\n", + "Name object\n", + "Gender object\n", + "Age float64\n", + "SibSp int64\n", + "Parch int64\n", + "Ticket object\n", + "Fare float64\n", + "Cabin object\n", + "Embarked object\n", + "dtype: object" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "titanic.dtypes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### What are your numerical variables? What are your categorical variables?\n", + "**Hint**: Use Pandas select_dtypes." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['PassengerId', 'Survived', 'Pclass', 'Age', 'SibSp', 'Parch', 'Fare']" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# NUMERICAL VARIABLES\n", + "titanic.select_dtypes(['int', 'float']).columns.to_list()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Name', 'Gender', 'Ticket', 'Cabin', 'Embarked']" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# CATEGORICAL VARIABLES\n", + "titanic.select_dtypes(object).columns.to_list()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Set the plot style to classic and the figure size to (12,6).\n", + "**Hint**: To set the style you can use matplotlib or seaborn functions. Do some research on the matter." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.style.use(\"classic\")\n", + "plt.figure(figsize = (12, 6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use the right visulalization to show the distribution of column `Age`." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(12,6), facecolor='white')\n", + "ax.hist(titanic.Age, bins=20, color='lightblue')\n", + "plt.xlabel(\"Age\")\n", + "plt.ylabel(\"Frequency\")\n", + "plt.title(\"Distribution of Age\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use subplots and plot the distribution of the `Age` with bins equal to 10, 20 and 50." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(18, 6),facecolor='white')\n", + "\n", + "# Plot tn with 10 bins\n", + "axes[0].hist(titanic.Age, bins=10, color='lightblue')\n", + "axes[0].set_xlabel('Age')\n", + "axes[0].set_ylabel('Frequency')\n", + "axes[0].set_title('Distribution of Age (Bins=10)')\n", + "\n", + "# Plot with 20 bins\n", + "axes[1].hist(titanic.Age, bins=20, color='lightblue')\n", + "axes[1].set_xlabel('Age')\n", + "axes[1].set_ylabel('Frequency')\n", + "axes[1].set_title('Distribution of Age (Bins=20)')\n", + "\n", + "# Plot with 50 bins\n", + "axes[2].hist(titanic.Age, bins=50, color='lightblue')\n", + "axes[2].set_xlabel('Age')\n", + "axes[2].set_ylabel('Frequency')\n", + "axes[2].set_title('Distribution of Age (Bins=50)')\n", + "\n", + "\n", + "plt.tight_layout()\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### How does the bin size affect your plot?" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nThe bin size in a histogram affects data granularity.\\nLarger bins result in fewer, broader bars, providing a high-level view.\\nSmaller bins create more, narrower bars, offering detailed insights.\\n'" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"\"\"\n", + "The bin size in a histogram affects data granularity.\n", + "Larger bins result in fewer, broader bars, providing a high-level view.\n", + "Smaller bins create more, narrower bars, offering detailed insights.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use seaborn to show the distribution of column `Age`." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "\n", + "sns.histplot(data=titanic, x='Age', kde=True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use the right plot to visualize column `Gender`. There are 2 ways of doing it. Do it both ways.\n", + "**Hint**: Use matplotlib and seaborn." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Method 1 - matplotlib\n", + "plt.hist(titanic.Gender)\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Method 2 - seaborn\n", + "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(8,4))\n", + "\n", + "gender = titanic['Gender'].value_counts()\n", + "\n", + "ax[0].pie(gender, labels=[gender.index[0], gender.index[1]], autopct='%1.1f%%', colors=['lightblue', 'pink'])\n", + "ax[1].hist(titanic['Gender'])\n", + "plt.grid(True)\n", + "plt.tight_layout()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use the right plot to visualize the column `Pclass`." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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rnMNTbCnCy5ELkJycDB8fnwZ9lrAjPA6HA0eOHMFjjz3m9PqAAQPQtm1bmEwm5OTkICUlBYcPH8aYMWOkMaNHj8bu3btx9OhRZGVlYe3atejTpw9PWCbJb/9lRerGemuLWuvt6ekJPz8/YX+UbnaUJuwcnn/9619wOBwYOnSo0+utWrVCVFQUoqOjER4ejoCAAMybN0+6JB0ARo4cieLiYsTExEg3HlywYIHSu0AubO7cuaIjkIJYb21hvUkOYQ3P0KFDazU7V3Xu3BkxMTG/u31YWBjCwsKaIBmpgcFgEB2BFMR6awvrTXIIvyydiIiIqKmx4SFVuvZqCVI/1ltbWG+Sgw0PqRJvQqktrLe2sN4kBxseUqUJEyaIjkAKYr21hfUmOdjwEBERkeqx4SFVuvYOqKR+rLe2sN4kBxseUqXFixeLjkAKYr21Ra31ttvtsFqtwv7IbSR37dqFsWPH4vbbb4eXlxd69uyJv/3tb7BarY38DTWM8IeHEjWFVatWiY5ACmK9tUWN9bbb7bjj9jtQUFggLMNtt96Gi99frPcdl9etW4fOnTtj1apV6NixI86cOYMVK1bg8OHDOHHiBFq0aNFEieuHDQ+pktpvkU7OWG9tUWO9HQ4HCgoL8Mk7e+Dr3bBnRslR+l8bhj87Gg6Ho97f7759+9CuXTtp+eGHH0bbtm0xZcoUHDlyBI8++mhjx5WFDQ8REZGL8PX2EdLwNMS1zc5VVx8H9dNPPykdp048h4dUKTExUXQEUhDrrS2st+v77LPPAAB33nmn4CS/YsNDqqTX60VHIAWx3trCeru2n376CUuXLsWwYcNw7733io4jYcNDqjRixAjREUhBrLe2sN6uq7S0FKGhoWjRogXeffdd0XGc8BweIiIiarDy8nKMHj0a2dnZ+Oc//4mOHTuKjuSER3hIlfLz80VHIAWx3trCerueiooKjBs3Dunp6UhJScHdd98tOlItbHhIlTZs2CA6AimI9dYW1tu1VFdX4+mnn8Ynn3yCvXv3YtCgQaIjXRd/0iJVioqKEh2BFMR6awvr7VpefPFF7Ny5E0uWLIGPjw/S09OldR07dnSZn7bY8BAREbmI0v/amt3n7t+/HwDw6quv4tVXX3Vat2zZMixfvrwh0RoNGx4iIiLBPDw8cNutt2H4s6OFZbjt1tvg4eFR7+0uXrzY+GGaABseUqX4+HiEh4eLjkEKYb21RY319vT0xMXvL8LhcAjL4OHhocrHdlzFhodUqW/fvqIjkIJYb21Ra709PT1V3XCIxqu0SJVc9SoBahqst7aw3iQHGx4iIiJSPTY8pEpms1l0BFIQ660trDfJwYaHVGnv3r2iI5CCWG9tYb1JDjY8pEqLFi0SHYEUxHprC+tNcrDhISIiItVjw0NERESqx4aHVMlkMomOQApivbWF9SY5eONBUqXQ0FDREUhBrLe2qLXedru9Wd5pOTU1FSaTCZmZmSguLka7du1w//33Y/ny5ejVq1cTJJWHDQ+pUnBwsOgIpCDWW1vUWG+73Y7bO9+Owp8LhWW4td2t+P7S9/VueoqKihASEoIXXngB7dq1w6VLlxAVFYVBgwbhm2++we23395EieuHDQ8REZFgDocDhT8XYuXSdfD09FL88+32MrwcuQAOh6PeDc+kSZMwadIkp9cGDBiA4OBg7Nq1C/Pnz2/MqLKx4SFVSk9P5+3nNYT11hY119vT0wteAhqexta2bVsAQKtWrQQn+RVPWiZVysjIEB2BFMR6awvr7ZqqqqrgcDiQlZWF559/HoGBgbWO/IjEIzykSuHh4aIjkIJYb21hvV1TSEiI1IwGBQXh0KFDaNeuneBUv+IRHiIiImqw7du3Iz09Hdu3b4efnx+GDRuG7777TnQsCRseIiIiarBevXph4MCBmDRpEj799FPYbDaXumeSsIbn/PnziIiIwOOPP44//vGPWL58ubQuNzcXL730EkaMGIGJEyciJSWl1vbbt2/HuHHj8Pjjj2PJkiUoKipSMD25OqPRKDoCKYj11hbW2/Xp9XoEBQUhOztbdBSJkIbn+++/R0REBO6++2689dZbiI2NxdChQwEAlZWVMBqN0Ol0iIuLw5QpUxAdHY3Tp09L2+/fvx9bt27FnDlzEBsbC5vNhhUrVojYFXJRc+fOFR2BFMR6awvr7foKCgpgNpvRrVs30VEkQk5a3rx5Mx566CFMnz5deu3qjYlOnjyJwsJCvP322/D29kaXLl2QkZGBpKQkhISEAACSkpIwduxYDB48GACwcOFChIWFISsrC0FBQcrvELkcg8EgOgIpiPXWFtbbtYwZMwb9+/dHnz594Ofnh/Pnz+O1115Dy5YtXeYePICAhqeqqgqnTp3CxIkTMW/ePFy6dAldu3bF888/j27dusFsNiM4OBje3t7SNv3790dCQgKAX27OlJ2d7XSWfmBgIAwGAzIzM9nwEBFRs2W3lzW7zx00aBB27tyJ9evXw+FwoFOnThgyZAiMRiPuuOOOxgvZQIo3PCUlJbDb7UhMTMSsWbMQHByMpKQkzJ8/H9u2bUNxcTH0er3TNnq9HhaLBQBgtVpRXV0Nf3//OscQpaamYsSIEaJjkEJYb21RY709PDxwa7tb8XLkAmEZbm13Kzw8POq93aJFi7Bo0aImSNS4FG94qqurAQAPP/ww/vSnPwEA5s+fj/Hjx+P48eM33L6mpqZJ85E6sPnVFtZbW9RYb09PT3x/6ftm+fDQ5kLxk5Z1Oh3c3d3RqVMn6bWWLVuiffv2KCwshL+/f63/M1ssFumoz9Xti4uL6xxTl/HjxyMiIgIRERHYt28fIiIiYLfbpfWJiYlITU2VlvPz82tdDRAfH4/09HRp2Ww217rszmQywWw2S8vp6emIj493GmM0GpGfny8tp6amIjExUVq22+3M14B8oaGhLp3P1b+/5pZvwoQJLp0PcO3vr7nlmzBhgkvnA+r+/k6dOoW6eHp6ws/PT9gfkc3OVxmnkWk+CwDINJ/F9p1bsOa1SKSkftxon+GWlpam+CGTWbNmoVu3bvjrX/8K4JfzesaPH4/nn38e3t7eiIyMxJ49e+Dl9cvzRKKiomCz2bBy5UoAwMyZMzFw4EDMmDEDAJCXl4fJkycjISHhuufw2Gw2jBo1CiUlJfDz81NoL4mIiJxZrVbodDr+9+h/rn4f61a9ed1niBVbivBy5AIkJyfDx8enQZ8l5LL0cePG4dChQ/jkk0+Qm5uL2NhYAMD999+PAQMGoG3btjCZTMjJyUFKSgoOHz6MMWPGSNuPHj0au3fvxtGjR5GVlYW1a9eiT58+PGGZJNf+y4vUj/XWFtab5BDS8AwbNgzPPfccNm3ahPDwcFy8eBHr16+Hj48PWrVqhaioKFgsFoSHh+P999/HvHnzpEvSAWDkyJEICwtDTEwMXnzxRXh6emLZsmUidoVc1OLFi0VHIAWx3trCepMcQn7SUhp/0tIeu92u6pPvyBnrrS3Nud78ScuZ6n/SImpqzfUvQ5KH9dYW1pvkYMNDREREqifk0RJETS0xMRETJkwQHYMUwnprixrqbbVaRUdwCUp+D2x4SJVudE8mUhfWW1uac709PDxgMBic7kWndf56f7Rs0fTtCBseUiW13Xaefh/rrS3Nud6enp7IyckRekdl4JcjK506dcLKpevgeZ2ThZXUskVLtGrVquk/p8k/gYiIiCSenp4uc+K1p6fXda+OUiOetEyqdO1t4Un9WG9tYb1JDjY8pEobNmwQHYEUxHprC+tNcrDhIVWKiooSHYEUxHprC+tNcrDhISIiItVjw0NERESqx4aHVCk+Pl50BFIQ660trDfJwYaHVKlv376iI5CCWG9tYb1JDjY8pEqDBg0SHYEUxHprC+tNcrDhISIiItVjw0OqZDabRUcgBbHe2sJ6kxxseEiV9u7dKzoCKYj11hbWm+Rgw0OqtGjRItERSEGst7aw3iQHGx4iIiJSPTY8REREpHpseEiVTCaT6AikINZbW1hvkoMND6lSaGio6AikINZbW1hvkoMND6lScHCw6AikINZbW1hvkoMNDxEREakeGx5SpfT0dNERSEGst7aw3iQHGx5SpYyMDNERSEGst7aw3iQHGx5SpfDwcNERSEGst7aw3iQHGx4iIiJSPTY8REREpHpseEiVjEaj6AikINZbW1hvkoMND6nS3LlzRUcgBbHe2sJ6kxxseEiVDAaD6AikINZbW1hvkoMNDxEREakeGx5SpdTUVNERSEGst7aw3iQHGx5SJYvFIjoCKYj11hbWm+Rgw0OqNGHCBNERSEGst7aw3iQHGx4iIiJSvZYiPvS9997Dli1bnF574IEHsHLlSgBAbm4uoqOjkZmZCX9/f0ydOhUjR450Gr99+3Z89NFHKC0tRUhICObPn4+AgADF9oFcm91uh6enp+gYpBDWW1tYb5JD2BGe4OBg7N69W/rzt7/9DQBQWVkJo9EInU6HuLg4TJkyBdHR0Th9+rS07f79+7F161bMmTMHsbGxsNlsWLFihahdIRe0ePFi0RFIQay3trDeJIeQIzwA0LJly+sekTl58iQKCwvx9ttvw9vbG126dEFGRgaSkpIQEhICAEhKSsLYsWMxePBgAMDChQsRFhaGrKwsBAUFKbof5JpWrVolOgIpiPXWFtab5BB2hCc7Oxt//vOfMWXKFMTExODKlSsAALPZjODgYHh7e0tj+/fvj3PnzgEAHA4HsrOz0a9fP2l9YGAgDAYDMjMzld0Jclk83K0trLe2sN4kh5AjPL169YLRaESHDh2Qn5+PhIQEvPzyy4iJiUFxcTH0er3TeL1eL12GaLVaUV1dDX9//zrHEBEREV1LyBGeAQMG4KGHHkLXrl1x//33Y+XKlfj6669x/vz5G25bU1OjQEJq7hITE0VHIAWx3trCepMcLnFZeocOHeDr64u8vDz4+/vXOlJjsVikoz46nQ7u7u4oLi6uc0xdxo8fj4iICERERGDfvn2IiIiA3W6X1icmJjrdwTM/P7/WU3nj4+ORnp4uLZvNZphMJqcxJpMJZrNZWk5PT0d8fLzTGKPRiPz8fGk5NTXVaRLb7Xbma0A+b29vl87n6t9fc8un1+tdOh/g2t9fc8un1+tdOh/g2t8fABQUFOC3jh4/gpyL2b/uQ0EeDn6a4jTm4KcpyC/Ik5ZzLmbj6PEjTmP2Ju9CibVEWs40n8XpM59LyxUVFdi990NUVFRIr50+8zkyzWel8dt3bsGa1yKRkvpxrZxyuaWlpQk/ZFJQUICJEyfirbfewuXLlxEZGYk9e/bAy8sLABAVFQWbzSZdtj5z5kwMHDgQM2bMAADk5eVh8uTJSEhIuO5JyzabDaNGjUJJSQn8/PyU2zEiIiIXZLVaodPpsG7Vm/Dy9BIdp07FliK8HLkAycnJ8PHxadB7CTmHJy4uDg888ADatWuHvLw8xMXF4a677kKPHj1QVVWFtm3bwmQyYdq0aTh37hwOHz6M1atXS9uPHj0asbGx6NGjB9q3b4+NGzeiT58+vEKLiIiIrktIw1NQUIDly5fDarWiTZs2uO+++zBjxgy4u7vD3d0dUVFRiI6ORnh4OAICAjBv3jzpknQAGDlyJIqLixETEyPdeHDBggUidoVcVH5+PgwGg+gYpBDWW1tYb5JDSMOzbNmy313fuXNnxMTE/O6YsLAwhIWFNWIqUpMNGzYgKipKdAxSCOutLaw3yeESJy0TNTb+ZagtrLe2sN4kBxseIiIiUj02PERERKR6bHhIlX573wpSN9ZbW1hvkoMND6lS3759RUcgBbHe2sJ6kxxseEiVBg0aJDoCKYj11hbWm+Rgw0NERESqx4aHVOnaZ9GQ+rHe2sJ6kxxseEiV9u7dKzoCKYj11hbWm+Rgw0OqtGjRItERSEGst7aw3iQHGx4iIiJSPTY8REREpHpseEiVTCaT6AikINZbW1hvkoMND6lSaGio6AikINZbW1hvkoMND6lScHCw6AikINZbW1hvkoMNDxEREakeGx5SpfT0dNERSEGst7aw3iQHGx5SpYyMDNERSEGst7aw3iQHGx5SpfDwcNERSEGst7aw3iQHGx4iIiJSPTY8REREpHpseEiVjEaj6AikINZbW1hvkoMND6nS3LlzRUcgBbHe2sJ6kxxseEiVDAaD6AikINZbW1hvkoMNDxEREalevRqejIwMVFVV1Xq9qqqK90Ugl5Kamio6AimI9dYW1pvkqFfDExERAavVWuv10tJSRERENFooooayWCyiI5CCWG9tYb1Jjno1PDU1NXBzc6v1en5+Pry9vRstFFFDTZgwQXQEUhDrrS2sN8nR8mYGTZo0CW5ubnBzc8OsWbPg7v5rn1RdXY2ioiIMHTq0yUISERERNcRNNTxPP/00AGD9+vUYO3as09Gcli1b4rbbbkPfvn2bJiGRDHa7HZ6enqJjkEJYb21hvUmOm2p4nnzySQBAhw4d0Lt3b7RseVObEQmzePFiREdHi45BCmG9tYX1Jjnq1bncc889qKqqwsWLF2GxWFBdXe20vn///o0ajkiuVatWiY5ACmK9tYX1Jjnq1fCcOXMGq1atwuXLl2utc3Nzw6efftpowYgagoe7tYX11hbWm+SoV8OzYcMGDBo0CNOnT0dAQEBTZSIiIiJqVPW6LL2goAATJ05ks0MuLzExUXQEUhDrrS2sN8lRr4Zn4MCByMzMbKosRI1Gr9eLjkAKYr21hfUmOer1k1avXr0QFxeHc+fO4Y477qh1tdbIkSMbNRyRXCNGjBAdgRTEemsL601y1KvhSUpKgoeHB06cOIETJ044rXNzc5PV8Lz88ss4duwY1q1bh5CQEABAbm4uoqOjkZmZCX9/f0ydOrXWe2/fvh0fffQRSktLERISgvnz5/OnNiIiIrquejU8O3bsaNQP379/P8rLy51eq6yshNFoRFBQEOLi4pCZmYno6GjcdtttUkO0f/9+bN26FUajEYGBgYiNjcWKFSuwYcOGRs1HzVd+fj4MBoPoGKQQ1ltbWG+So17n8DSm/Px8vPfee1i4cKHT6ydPnkRhYSEWLlyILl264Mknn8TQoUORlJQkjUlKSsLYsWMxePBgBAUFYeHChfj666+RlZWl9G6Qi2Lzqy2st7aw3iRHvY7w3OhmT4sXL76p96mursbq1avxzDPPoF27dk7rzGYzgoODnR5f0b9/fyQkJAAAHA4HsrOzER4eLq0PDAyEwWBAZmYmgoKCbnZ3SMWioqJERyAFsd7awnqTHPU6wtOiRQunPzU1NcjOzsbx48fRokWLm36fXbt2wcvLC0888UStdcXFxbXOwNfr9bBYLAAAq9WK6upq+Pv71zmGiIiI6Fr1OsKzaNGi676+adMm1NTU3NR7fP/999i5cyfi4uLq89GSm/0cIiIioqsa5RyeJ554Avv27bupsefOnUNRUREmTJiARx99FI8++igAYOHChVi5ciX8/f1rHamxWCzSUR+dTgd3d3cUFxfXOaYu48ePR0REBCIiIrBv3z5ERETAbrdL6xMTE5Gamiot5+fnw2g0Or1HfHw80tPTpWWz2QyTyeQ0xmQywWw2S8vp6emIj493GmM0GpGfny8tp6amOt1My263M18D8sXGxrp0Plf//ppbvvj4eJfOB7j299fc8sXHx7t0PsC1vz/glxsJ/9bR40eQczH7130oyMPBT1Ocxhz8NAX5BXnScs7FbBw9fsRpzN7kXSixlkjLmeazOH3mc2m5oqICu/d+iIqKCum102c+R6b5rDR++84tWPNaJFJSP66VUy63tLS0Bh8y+fjjj7F161b84x//uOHY0tJS/Pzzz06vPfvss1iwYAEGDBiA8+fPIzIyEnv27IGXlxeAX36vtdlsWLlyJQBg5syZGDhwIGbMmAEAyMvLw+TJk5GQkHDdc3hsNhtGjRqFkpIS+Pn5NXR3qRlIT0/HoEGDRMcghbDe2sJ6N5zVaoVOp8O6VW/Cy9NLdJw6FVuK8HLkAiQnJ8PHx6dB71Wvn7TmzJkDNzc3abmmpgZFRUXIy8vDCy+8cFPv4evrC19f31qvGwwGtGvXDnq9Hm3btoXJZMK0adNw7tw5HD58GKtXr5bGjh49GrGxsejRowfat2+PjRs3ok+fPjxhmST8y1BbWG9tYb1Jjno1PFfvg3OVm5sb9Ho97r77bnTp0qVRArVq1QpRUVGIjo5GeHg4AgICMG/ePKfPHjlyJIqLixETEyPdeHDBggWN8vlERESkPvVqeKZNm9YkIdLS0pyWO3fujJiYmN/dJiwsDGFhYU2Sh5q/q7c3IG1gvbWF9SY56tXwAEBZWRkOHjyI3NxcAL80J8OHD5fOtyFyBXv37uVfiBrCemsL601y1OsqLbPZjEmTJmH79u0oLCxEYWEhPvjgA0yePBnffvttU2Ukqre6bqFA6sR6awvrTXLU6wjPG2+8gYceegjz5s2TbjRYVVWF1157DW+88QZiY2ObJCQRERFRQ9TrCM+FCxcwfvx4p7sqt2jRAk899RQuXLjQ6OGIiIiIGkO9Gh5/f//rPqDzwoULN7zpH5GSfnszL1I31ltbWG+So14/aY0ZMwZr165FdnY27rzzTgBAZmYm9uzZg2eeeaYp8hHJEhoaKjoCKYj11hbWm+SoV8MzceJEtG3bFklJSdKjJDp16oQFCxZg6NChTRKQSA5ewaEtrLe2sN4kx001PD///DN2796NKVOmYNiwYRg2bJi0zmazYevWrejbty/atGnTZEGJiIiI5Lqpc3g+/PBDlJeXX/c5Fj4+PnA4HNixY0ejhyOS69oH9JH6sd7awnqTHDfV8Jw6dQrDhw+vc/3w4cPx+eef17meSGkZGRmiI5CCWG9tYb1JjptqeAoKCtCuXbs61/v7+6OwsLDRQhE1VHh4uOgIpCDWW1tYb5LjphoePz8/FBQU1Ln+hx9+QOvWrRstFBEREVFjuqmG59577/3dc3R27NiBe++9t9FCERERETWmm2p4pk2bhn//+9+YPXs2/vnPfyI7OxvZ2dk4cuQIZs+ejaysrCZ7kjqRHEajUXQEUhDrrS2sN8lxU5elGwwGvP7669iwYQMiIyOd1t1zzz144403YDAYmiQgkRxz584VHYEUxHprC+tNctz0jQc7d+6M9evXo6SkBD/99BMAIDAwEDqdrsnCEcnFBlxbWG9tYb1JjnrdaRkAdDodmxwiIiJqVur18FCi5iI1NVV0BFIQ660trDfJwYaHVMlisYiOQApivbWF9SY52PCQKk2YMEF0BFIQ660trDfJwYaHiIiIVI8ND6mS3W4XHYEUxHprC+tNcrDhIVVavHix6AikINZbW1hvkoMND6nSqlWrREcgBbHe2sJ6kxxseEiVPD09RUcgBbHe2sJ6kxxseIiIiEj12PCQKiUmJoqOQApivbWF9SY52PCQKun1etERSEGst7aw3iQHGx5SpREjRoiOQApivbWF9SY52PAQERGR6rHhIVXKz88XHYEUxHprC+tNcrQUHUBJVqtVdITf5eHhwcstG8mGDRsQFRUlOgYphPXWFtab5NBUw9OpUyfREX6XwWBATk4Om55GwL8MtYX11hbWm+TQVMPz5T8Po3379qJjXNeVK1fQI2QAHA4HGx4iIqJGpqmGx7d1a/i1bi06BhERESmMJy2TKsXHx4uOQApivbWF9SY52PCQKvXt21d0BFIQ660trDfJIeQnre3bt+PAgQMoLCzELbfcgt69e2PWrFnSScW5ubmIjo5GZmYm/P39MXXqVIwcObLWe3z00UcoLS1FSEgI5s+fj4CAABG7Qy5o0KBBoiOQglhvbWG9SQ4hR3gCAwMxd+5cvPvuu1i/fj3c3d1hNBoBAJWVlTAajdDpdIiLi8OUKVMQHR2N06dPS9vv378fW7duxZw5cxAbGwubzYYVK1aI2BUiIiJqBoQ0PEOGDEFISAjat2+PoKAgTJ8+HT/++COKiopw8uRJFBYWYuHChejSpQuefPJJDB06FElJSdL2SUlJGDt2LAYPHoygoCAsXLgQX3/9NbKyskTsDrkgs9ksOgIpiPXWFtab5BB+Dk95eTkOHDiATp06Qa/Xw2w2Izg4GN7e3tKY/v3749y5cwAAh8OB7Oxs9OvXT1ofGBgIg8GAzMxMxfOTa9q7d6/oCKQg1ltbWG+SQ9hl6SdOnEBkZCTKy8vRsWNHmEwmuLu7o7i4uNaTcPV6PSwWC4Bf7pZcXV0Nf3//OscQLVq0SHQEUhDrrS2sN8kh7AjPPffcg02bNmHDhg24/fbb8corr6CysvKG29XU1CiQjoiIiNREWMPj5eWFDh064O6778bSpUuRk5ODkydPwt/fv9aRGovFIh310el00pGgusbU5bm/zMOiZSuwaNkKpKQexKJlK2C326X1u/Z+jE/SjkjL+YWFWPqq8y3MN7+/DZ9fcwL1txeysD72Tacx62PfxLcXfj2f6PPTp7H5/W1OY5a+GoX8wkJpOe3ov5zW2+12REREOOVLTExEamrqr/ny86WTva+Kj49Henq6tGw2m2EymZzGmEwmp9/A09PTa93Xwmg0Oj2gLzU1FYmJiczHfMzHfMyngnwFBQX4raPHjyDnYvav+1CQh4OfpjiNOfhpCvIL8qTlnIvZOHr8iNOYvcm7UGItkZYzzWdx+szn0nJFRQV27/0QFRUV0munz3yOTPNZafz2nVuw5rVIpKR+XCunXG5paWnCD5lUVFTgj3/8I5YvX46qqipERkZiz5498PLyAvDLc1NsNhtWrlwJAJg5cyYGDhyIGTNmAADy8vIwefJkJCQkICgoqNb722w2jBo1Cue/PIUOLvpoCeuVK2jf406UlJTAz89PdJxmz2Qy8bC3hrDe2sJ6N5zVaoVOp8O6VW/Cy9NLdJw6FVuK8HLkAiQnJ8PHx6dB7yXkHJ74+Hg8+OCDaNOmDYqLi7Fjxw7odDr07t0bt9xyC9q2bQuTyYRp06bh3LlzOHz4MFavXi1tP3r0aMTGxqJHjx5o3749Nm7ciD59+ly32SFtCg0NFR2BFMR6awvrTXIIaXgKCwuxfPlylJSUQKfToU+fPli/fj18fX0B/HJEJzo6GuHh4QgICMC8efMQEhIibT9y5EgUFxcjJiZGuvHgggULROwKuajg4GDREUhBrLe2sN4kh5CG5+9///vvru/cuTNiYmJ+d0xYWBjCwsIaMRURERGplfD78BA1hWtPDCT1Y721hfUmOdjwkCplZGSIjkAKYr21hfUmOdjwkCqFh4eLjkAKYr21hfUmOdjwEBERkeqx4SEiIiLVE/YsLaKmZDQaERUVdeOB1OzZ7XYsXrwYy5cvFx3ld3l4eMDT01N0DFXg/CY52PCQKs2dO1d0BFKA3W7HHbffgYLCArz22mui4/yu2269DRe/v8impxFwfpMcbHhIlQwGg+gIpACHw4GCwgJ88s4e+Ho37LbzTan0vzYMf3Y0HA4HG55GwPlNcrDhIaJmz9fbx6UbHiISjyctkypd+1RgUr/0jFOiI5CCOL9JDjY8pEoWi0V0BFJQqc0mOgIpiPOb5GDDQ6o0YcIE0RFIQcPuHyI6AimI85vkYMNDREREqseGh1TJbreLjkAKKnc4REcgBXF+kxxseEiVFi9eLDoCKSjuw3dERyAFcX6THGx4SJVWrVolOgIpaNbEZ0VHIAVxfpMcbHhIlXhzN225xcNDdARSEOc3ycGGh4iIiFSPDQ+pUmJiougIpKBDx4+IjkAK4vwmOdjwkCrp9XrREUhBvj58rISWcH6THGx4SJVGjBghOgIpaFDf+0RHIAVxfpMcbHiIiIhI9djwkCrl5+eLjkAKumwpEh2BFMT5TXKw4SFV2rBhg+gIpKDE/UmiI5CCOL9JDjY8pEpRUVGiI5CCXpg0Q3QEUhDnN8nBhoeIiIhUjw0PERERqR4bHlKl+Ph40RFIQUmHkkVHIAVxfpMcbHhIlfr27Ss6Aimo++1dRUcgBXF+kxxseEiVBg0aJDoCKah3916iI5CCOL9JDjY8REREpHpseEiVzGaz6AikoIs/XhIdgRTE+U1ysOEhVdq7d6/oCKSgo18cFx2BFMT5TXKw4SFVWrRokegIpKApoRNFRyAFcX6THGx4iIiISPXY8BAREZHqseEhVTKZTKIjkIK27v1QdARSEOc3ydFSxIdu27YNn332GXJzc+Ht7Y0BAwYgPDwcer1eGpObm4vo6GhkZmbC398fU6dOxciRI53eZ/v27fjoo49QWlqKkJAQzJ8/HwEBAQrvDbmi0NBQ0RFIQQ/de7/oCKQgzm+SQ8gRnrNnz2L8+PGIj4/HypUrcfHiRURGRkrrKysrYTQaodPpEBcXhylTpiA6OhqnT5+Wxuzfvx9bt27FnDlzEBsbC5vNhhUrVojYHXJBwcHBoiOQgu7o0Fl0BFIQ5zfJIeQIz+rVq52WZ8+ejdmzZ6O0tBS+vr44efIkCgsL8fbbb8Pb2xtdunRBRkYGkpKSEBISAgBISkrC2LFjMXjwYADAwoULERYWhqysLAQFBSm+T0REROS6XOIcnpKSEnh4eMDLywvALzeVCg4Ohre3tzSmf//+OHfuHADA4XAgOzsb/fr1k9YHBgbCYDAgMzNT2fDkktLT00VHIAWdvcB5ryWc3ySH8IbH4XDg/fffx4gRI9CiRQsAQHFxsdP5PACg1+thsVgAAFarFdXV1fD3969zDGlbRkaG6AikoAvffyc6AimI85vkENrwVFVVYdWqVQCA559//qa3q6mpaapIpBLh4eGiI5CCxgwbJToCKYjzm+QQ1vBUV1fDZDLh0qVLWLNmjfRzFgD4+/vXOlJjsVikoz46nQ7u7u4oLi6uc8z1PPeXeVi0bAUWLVuBlNSDWLRsBex2u7R+196P8UnaEWk5v7AQS1+NcnqPze9vw+fXnDz97YUsrI9902nM+tg38e2FLGn589Onsfn9bU5jlr4ahfzCQmk57ei/nNbb7XZEREQ45UtMTERqauqv+fLzYTQanbaLj493OtxrNptrXcJpMpmcnkWTnp6O+Ph4pzFGoxH5+fnScmpqKhITE5mP+Vw234Gjh3Dsy18/+z/FlxGz5S2n9915YA8yzGel5e9+uIjNu7c6jdm8eyu+++GitJxhPoudB/Y4jYnZ8hb+U3xZWj72ZToOHD0kLZc7yrFm8waUO8qdtjt06Ncxrvb9uXp9ma9x8xUUFOC3jh4/gpyL2b/uQ0EeDn6a4jTm4KcpyC/Ik5ZzLmbj6PEjTmP2Ju9CibVEWs40n8XpM59LyxUVFdi990NUVFRIr50+8zky/zc3M81nsX3nFqx5LRIpqR/XyimXW1pamuKHS2pqarBmzRp88803eP3112tdSn7s2DFERkZiz549UiMUFRUFm82GlStXAgBmzpyJgQMHYsaMGQCAvLw8TJ48GQkJCbVOWrbZbBg1ahTOf3kKHdq3V2AP68965Qra97gTJSUl8PPzEx2HqFmwWq3Q6XQ48eEn8PX2ER2nTqX/teEPE4dzfpPLuDp31q16E16eXjfeQJBiSxFejlyA5ORk+Pg0bI4LOcITHR2NEydOYMmSJQCAoqIiFBUVoaqqCgAwYMAAtG3bFiaTCTk5OUhJScHhw4cxZswY6T1Gjx6N3bt34+jRo8jKysLatWvRp08fXqFFAFDrX1akbht3bBYdgRTE+U1yCLksPTk5GQDwwgsvOL2+Y8cOGAwGtGrVClFRUYiOjkZ4eDgCAgIwb9486ZJ0ABg5ciSKi4sRExMj3XhwwYIFiu4Hua65c+eKjkAKmvDEmBsPItXg/CY5hDQ8aWlpNxzTuXNnxMTE/O6YsLAwhIWFNVIqUhODwSA6AimojZ53WNcSzm+SQ/hl6URERERNjQ0PqdK1VyOQ+qVnnBIdgRTE+U1ysOEhVeINKLWl1GYTHYEUxPlNcrDhIVWaMGGC6AikoGH3DxEdgRTE+U1ysOEhIiIi1WPDQ6p07R1GSf3KHQ7REUhBnN8kBxseUqXFixeLjkAKivvwHdERSEGc3yQHGx5SpasPpSVtmDXxWdERSEGc3yQHGx5SJU9PT9ERSEG3eHiIjkAK4vwmOdjwEBERkeqx4SFVSkxMFB2BFHTo+BHREUhBnN8kBxseUiW9Xi86AinI18dHdARSEOc3ycGGh1RpxIgRoiOQggb1vU90BFIQ5zfJwYaHiIiIVI8ND6lSfn6+6AikoMuWItERSEGc3yQHGx5SpQ0bNoiOQApK3J8kOgIpiPOb5GDDQ6oUFRUlOgIp6IVJM0RHIAVxfpMcbHiIiIhI9djwEBERkeqx4SFVio+PFx2BFJR0KFl0BFIQ5zfJwYaHVKlv376iI5CCut/eVXQEUhDnN8nBhodUadCgQaIjkIJ6d+8lOgIpiPOb5GDDQ0RERKrHhodUyWw2i45ACrr44yXREUhBnN8kBxseUqW9e/eKjkAKOvrFcdERSEGc3yQHGx5SpUWLFomOQAqaEjpRdARSEOc3ycGGh4iIiFSPDQ8RERGpHhseUiWTySQ6Ailo694PRUcgBXF+kxxseEiVQkNDRUcgBT107/2iI5CCOL9JDjY8pErBwcGiI5CC7ujQWXQEUhDnN8nBhoeIiIhUjw0PqVJ6erroCKSgsxcyRUcgBXF+kxxseEiVMjIyREcgBV34/jvREUhBnN8kBxseUqXw8HDREUhBY4aNEh2BFMT5TXKw4SEiIiLVY8NDREREqiek4fnss88QERGBUaNG4ZFHHkFVVZXT+tzcXLz00ksYMWIEJk6ciJSUlFrvsX37dowbNw6PP/44lixZgqKiIqXiUzNgNBpFRyAFbdyxWXQEUhDnN8khpOEpLy9H//79MWnSpFrrKisrYTQaodPpEBcXhylTpiA6OhqnT5+Wxuzfvx9bt27FnDlzEBsbC5vNhhUrVii5C+Ti5s6dKzoCKWjCE2NERyAFcX6THC1FfOjw4cMBAF999VWtdSdPnkRhYSHefvtteHt7o0uXLsjIyEBSUhJCQkIAAElJSRg7diwGDx4MAFi4cCHCwsKQlZWFoKAgxfaDXJfBYBAdgRTURh8gOgIpiPOb5HC5c3jMZjOCg4Ph7e0tvda/f3+cO3cOAOBwOJCdnY1+/fpJ6wMDA2EwGJCZyXtxEBERUW0u1/AUFxdDr9c7vabX62GxWAAAVqsV1dXV8Pf3r3MMUWpqqugIpKD0jFOiI5CCOL9JDpdreG6kpqZGdARqBtj8akupzSY6AimI85vkcLmGx9/fv9b/mS0Wi3TUR6fTwd3dHcXFxXWOqctzf5mHRctWYNGyFUhJPYhFy1bAbrdL63ft/RifpB2RlvMLC7H01Sin99j8/jZ8fs0J1N9eyML62DedxqyPfRPfXsiSlj8/fRqb39/mNGbpq1HILyyUltOO/stpvd1uR0REhFO+xMREp3/Z5Ofn17paIT4+3um262azGSaTyWmMyWSC2WyWltPT0xEfH+80xmg0Ij8/X1pOTU1FYmJis8kXGhrq0vlc/ftrbvmG3T8EB44ewrEvf/3s/xRfRsyWt5zed+eBPcgwn5WWv/vhIjbv3uo0ZvPurfjuh4vScob5LHYe2OM0JmbLW/hP8WVp+diX6Thw9JC0XO4ox5rNG1DuKHfa7tChX8e40vcHuHZ9f5tvwoQJLp0PcO3vDwAKCgrwW0ePH0HOxexf96EgDwc/db5K+uCnKcgvyJOWcy5m4+jxI05j9ibvQom1RFrONJ/F6TOfS8sVFRXYvfdDVFRUSK+dPvM5Mv83NzPNZ7F95xaseS0SKakf18opl1taWpqwQyZfffUVXnrpJRw6dAgtWrQAABw7dgyRkZHYs2cPvLy8AABRUVGw2WxYuXIlAGDmzJkYOHAgZsyYAQDIy8vD5MmTkZCQcN2Tlm02G0aNGoXzX55Ch/btFdq7+rFeuYL2Pe5ESUkJ/Pz8RMchahasVit0Oh1OfPgJfL19RMepU+l/bfjDxOGc3+Qyrs6ddavehJenl+g4dSq2FOHlyAVITk6Gj0/D5riQIzxWqxVZWVn48ccfAQBZWVnIyspCWVkZBgwYgLZt28JkMiEnJwcpKSk4fPgwxoz59bLT0aNHY/fu3Th69CiysrKwdu1a9OnTh1dokeTaf9mQ+pU7HKIjkII4v0kOIQ3P8ePH8dxzz2HdunUAgFmzZuG5557Dt99+i1atWiEqKgoWiwXh4eF4//33MW/ePOmSdAAYOXIkwsLCEBMTgxdffBGenp5YtmyZiF0hF7V48WLREUhBcR++IzoCKYjzm+QQch+exx9/HI8//nid6zt37oyYmJjffY+wsDCEhYU1cjJSi1WrVomOQAqaNfFZ0RFIQZzfJIfLnbRM1Bg8PT1FRyAF3eLhIToCKYjzm+Rgw0NERESqx4aHVOnaSzRJ/Q795rJYUjfOb5KDDQ+p0o3uyUTq4tvAy1WpeeH8JjnY8JAqjRgxQnQEUtCgvveJjkAK4vwmOdjwEBERkeqx4SFVuva266R+ly1FoiOQgji/SQ42PKRKGzZsEB2BFJS4P0l0BFIQ5zfJwYaHVCkqKurGg0g1Xpg0Q3QEUhDnN8nBhoeIiIhUjw0PERERqR4bHlKl+Ph40RFIQUmHkkVHIAVxfpMcbHhIlfr27Ss6Aimo++1dRUcgBXF+kxxseEiVBg0aJDoCKah3916iI5CCOL9JDjY8REREpHpseEiVzGaz6AikoIs/XhIdgRTE+U1ysOEhVdq7d6/oCKSgo18cFx2BFMT5TXKw4SFVWrRokegIpKApoRNFRyAFcX6THGx4iIiISPXY8BAREZHqseEhVTKZTKIjkIK27v1QdARSEOc3ycGGh1QpNDRUdARS0EP33i86AimI85vkYMNDqhQcHCw6Ainojg6dRUcgBXF+kxxseIiIiEj12PCQKqWnp4uOQAo6eyFTdARSEOc3ycGGh1QpIyNDdARS0IXvvxMdgRTE+U1ysOEhVQoPDxcdgRQ0Ztgo0RFIQZzfJAcbHiIiIlI9NjxERESkemx4SJWMRqPoCKSgjTs2i45ACuL8JjnY8JAqzZ07V3QEUtCEJ8aIjkAK4vwmOdjwkCoZDAbREUhBbfQBoiOQgji/SQ42PERERKR6bHhIlVJTU0VHIAWlZ5wSHYEUxPlNcrDhIVWyWCyiI5CCSm020RFIQZzfJAcbHlKlCRMmiI5AChp2/xDREUhBnN8kBxseIiIiUr1m3fBs374d48aNw+OPP44lS5agqKhIdCRyEXa7XXQEUlC5wyE6AimI85vkaLYNz/79+7F161bMmTMHsbGxsNlsWLFihehY5CIWL14sOgIpKO7Dd0RHIAVxfpMczbbhSUpKwtixYzF48GAEBQVh4cKF+Prrr5GVlSU6GrmARx55RHQEUlD/Xn1FRyAFcX6THM2y4XE4HMjOzka/fv2k1wIDA2EwGJCZmSkwGbmKtLQ00RFIQV9mZoiOQAri/CY5mmXDY7VaUV1dDX9/f6fX9Xo9L1ckIiKiWlqKDiBHTU2NrPHZ332H0itXmiJSg129j8jp06fh6+srOE3dampq4ObmJjrG72rTpg3OnDmDU6dc+2Z0zeG7dPWMpaWlAIBz2WaYs88LTlO3/9rLAHB+N5aTJ09yfjfQ1blzKfcibrnlFsFp6ma9YgVQ///uX0+zbHh0Oh3c3d1RXFzs9LrFYoFer681vqzsl79snhjn+vduGDp0qOgIqjFgwADREUghGd/+G+NfekZ0jBvi/G48nN+N4/W31oqOcFPKysoa/I+FZtnweHh4oFu3bvjqq68QEhICAMjLy0N+fj569epVa3ybNm2wc+dOeHl5uXTHTURERL+qqalBWVkZ2rRp0+D3apYNDwCMHj0asbGx6NGjB9q3b4+NGzeiT58+CAoKqjXW3d0d7dq1E5CSiIiIGqKxfgZutg3PyJEjUVxcjJiYGJSWliIkJAQLFiwQHYuIiIhckFtaWlrDzwQiIiIicmHN9gjPVZ999hn27NmD8+fPw2az4dChQ2jRokWd48vKyvD666/js88+Q8uWLfHYY49h1qxZv7sNuY761nvevHnIyHC+R8uLL76IcePGNXVUagTbtm3DZ599htzcXHh7e2PAgAEIDw+/7sUJV3GON19y6s053nxt374dBw4cQGFhIW655Rb07t0bs2bNQqdOna47vqFzu9k3POXl5ejfvz9CQkKwadOmG46PiYmB2WzG2rVrYbfbsWrVKnh5eeHZZ59VIC01VH3rDQDjxo3DpEmTpGVvb++mikeN7OzZsxg/fjx69uwJm82G119/HZGRkYiOjq5zG87x5ktOvQHO8eYqMDAQc+fORWBgIGw2G7Zs2QKj0Yht27Zdd3xD53azb3iGDx8OAPjqq69uOPbKlSs4dOgQTCaTdDXXs88+i/j4eEybNo3/AmwG6lPvqzw9PREQENBEiagprV692ml59uzZmD17NkpLS697IiPnePNW33pfxTnePA0ZMsRpefr06ZgxYwaKiopq1bMx5nazvNOyXOfP/3JjsnvuuUd6rX///rBarfjxxx8FpaKmlpycjNDQUPy///f/sHPnTlRVVYmORDKVlJTAw8MDXl5e113POa4uN6r3VZzjzV95eTkOHDiATp06XfcnzMaY283+CE99FBcXw9fXFy1b/rrbV79Yi8WCzp07C0pGTWX48OFo37499Ho9MjMz8fbbb6O0tJQ/bzRDDocD77//PkaMGFHnv+Y4x9XjZuoNcI43dydOnEBkZCTKy8vRsWNHmEwmuLvXPhbTGHNbUw3P9W5NzRsRqtuTTz4p/e+uXbvC3d0dsbGxmD59OmvfjFRVVWHVqlUAgOeff77OcZzj6nCz9QY4x5u7e+65B5s2bUJRURF27tyJV155Ba+//rpTYwM0ztzW1E9aAQEBKC0tRWVlpfTa1cdT/N5VAKQePXr0QFlZGUpKSkRHoZtUXV0Nk8mES5cuYc2aNb/78wbnePNXn3pfD+d48+Ll5YUOHTrg7rvvxtKlS5GTk4OTJ0/WGtcYc1tTDU/37t0BwOkSxjNnzsDPzw8dOnQQFYsUlJ2dDU9PT+h0OtFR6CbU1NRg7dq1yMzMxLp16+Dn5/e74znHm7f61vt6OMebt5qamuv+hNkYc7vZNzxWqxVZWVnSSUtZWVnIyspCWVkZfv75Z0ydOhXnzp0DAPj5+eHRRx/FG2+8gXPnzuHMmTN45513EBoayqs3mon61PvHH3/Etm3bcP78eeTl5eHw4cOIi4vD6NGjeai7mYiOjsaJEyewZMkSAEBRURGKioqkk1I5x9WlvvXmHG/e4uPj8e9//xv5+fk4d+4cXnnlFeh0OvTu3btJ5nazP4fn+PHjMJlM0vKsWbMAAK+99hoMBgNyc3NRXl4urX/ppZewYcMGLFiwAC1atMBjjz2GadOmKZ6b5KlPvVu1aoVTp04hMTERDocDBoMBTz31FMaPHy8kO9VfcnIyAOCFF15wen3Hjh0wGAyoqqriHFeR+tabc7x5KywsxPLly1FSUgKdToc+ffpg/fr18PX1RWlpaaPPbT5agoiIiFSv2f+kRURERHQjbHiIiIhI9djwEBERkeqx4SEiIiLVY8NDREREqseGh4iIiFSPDQ8RERGpHhseIiIiUj02PETUbBw4cIB30SUiWZr9oyWIqPmZN2+e9BBAT09P3HHHHZg+fToGDBggOBkRqRWP8BCREOPGjcPu3buRkJCA7t274+WXX5YeCktE1Nh4hIeIhPD09ERAQAACAgIwd+5cfPLJJzh9+jQMBgO2bNmC1NRUFBcXo3379ggPD8f9999f6z2OHTuGDz74ABcvXoS3tzceeOABzJo1C15eXgCA8+fP44033kBWVhZatmyJrl274tVXX4Wvry+++OILxMfH49KlS/D09MSdd96J1atXK/01EJFC2PAQkXAtWrRAixYtUFlZiXfffRf79+/H3Llz0a1bN/zwww9wc3O77nYOhwNPP/007rjjDvz888+Ijo7Gli1bMGvWLADAqlWr8Ic//AFGoxHl5eU4e/YsAKCqqgrLly/HM888gwcffBA2mw1nzpxRbH+JSHlseIhIqMrKSuzcuRNlZWXo2bMnXnrpJSxZsgSDBw8GAHTo0KHObR955BHpfwcGBmLatGnYtGmT1PAUFhbiD3/4AwIDAwEAXbp0AQCUlJTAZrNh8ODBuPXWWwEA3bp1a5L9IyLXwIaHiIT48MMPsWvXLlRUVMDHxwfz5s2Dl5cXKioqcM8999zUe1y8eBGbN2/G+fPnceXKFVRVVaGqqkpaP2bMGPz1r3/Ffffdh5CQEAwdOhQ6nQ46nQ5Dhw7Fs88+iwEDBuC+++7DkCFDpJ/CiEh92PAQkRBPPvkkxo8fDy8vLwQEBAAAsrOz6/UeS5YsQbdu3bBkyRLo9Xp8/fXXWL9+vbT+ueeew7Bhw3DixAl88skneO+99/Dmm2+iY8eO+Pvf/47MzEycPHkSiYmJ2LJlC+Lj46HT6Rp1P4nINfAqLSISonXr1ujQoYPU7ABAx44d0apVK3z11Vc33L6kpAQ//fQTpk6dij59+qBz584oKiqqNa5Lly6YPHkyNm7cCH9/fxw9elRa16tXL0yfPh0JCQkoLS3Fl19+2Sj7RkSuh0d4iMhl3HLLLXjqqafwxhtvwM3NDd27d8cPP/yAmpqaWvfo8fX1RevWrZGcnIynnnoKZrMZ+/btk9aXl5cjPj4eQ4YMwa233oqLFy+isLAQnTp1Ql5eHv7v//4P999/PwICAvDNN9+grKwMHTt2VHqXiUghbHiIyKVMnz4dAPD666/DarUiMDAQ4eHhtca1aNECS5YswRtvvIH9+/fjrrvuwvTp07F27VoAgLu7OywWC1555RWUlJSgbdu2mDp1Kh588EEUFRUhJycHKSkpKC0tRWBgIBYuXIju3bsruq9EpBy3tLS0GtEhiIiIiJoSz+EhIiIi1WPDQ0RERKrHhoeIiIhUjw0PERERqR4bHiIiIlI9NjxERESkemx4iIiISPXY8BAREZHqseEhIiIi1WPDQ0RERKr3/wHw9pfP6iV/kgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.histplot(data=titanic, x='Pclass', hue='Pclass')\n", + "plt.grid(True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### We would like to have in one single plot the summary statistics of the feature `Age`. What kind of plot would you use? Plot it. " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 8))\n", + "ax.hist(titanic.Age, bins=20)\n", + "\n", + "# statistics in a box\n", + "stats_text = titanic.Age.describe().round(2).to_string()\n", + "ax.text(0.75, 0.5, stats_text, transform=ax.transAxes, bbox=dict(facecolor='white', edgecolor='black', boxstyle='round,pad=2'))\n", + "plt.grid(True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "\"\\n\\nFor displaying the distribution of a single numeric variable like 'Age' in the 'titanic' dataset, a common plot choice would be a histogram \\n\"" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"\"\"\n", + "\n", + "For displaying the distribution of a single numeric variable like 'Age' in the 'titanic' dataset, a common plot choice would be a histogram \n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### What does the last plot tell you about the feature `Age`?" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nThe majority of passengers fall within the age ranges of 20-25 and 27-33 years old.\\n'" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"\"\"\n", + "The majority of passengers fall within the age ranges of 20-25 and 27-33 years old.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Now in addition to the summary statistics, we want to have in the same plot the distribution of `Age`. What kind of plot would you use? Plot it. " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "# your code here" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### What additional information does the last plot provide about feature `Age`?" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nyour comments here\\n'" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"\"\"\n", + "your comments here\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### We suspect that there is a linear relationship between `Fare` and `Age`. Use the right plot to show the relationship between these 2 features. There are 2 ways, please do it both ways.\n", + "**Hint**: Use matplotlib and seaborn." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Method 1 - matplotlib\n", + "#scatter plot to visualize the relationship between 'Fare' and 'Age'\n", + "\n", + "fig, ax = plt.subplots(figsize=(16, 8))\n", + "\n", + "ax.scatter(titanic.Fare, titanic.Age, s=60) \n", + "\n", + "ax.grid(True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Method 2 - seaborn\n", + "\n", + "sns.scatterplot(data=titanic, x='Fare', y='Age', hue='Gender')\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Plot the correlation matrix using seaborn." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\USER\\AppData\\Local\\Temp\\ipykernel_13512\\3292530427.py:1: FutureWarning: The default value of numeric_only in DataFrame.corr is deprecated. In a future version, it will default to False. Select only valid columns or specify the value of numeric_only to silence this warning.\n", + " correlation_matrix = titanic.corr()\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "correlation_matrix = titanic.corr()\n", + "plt.figure(figsize=(8, 6))\n", + "sns.heatmap(correlation_matrix, annot=True, cmap='coolwarm', fmt='.2f', linewidths=0.5)\n", + "plt.title('Correlation Matrix')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### What are the most correlated features?" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nNegative correlations:\\nFare and Pclass: The fare is highest for passengers in the 1st class, indicating that the 1st class tickets are more expensive compared to the 2nd and 3rd class.\\nAge and Pclass: Older passengers are more likely to be in the 1st class, suggesting that the 1st class cabins were preferred by older and potentially wealthier individuals.\\nPclass and Survived: There is a negative correlation between the passenger class and survival rate, implying that more passengers from the higher classes (1st class) had a better chance of surviving the disaster.\\n\\nPositive correlations:\\nParch and SibSp: There is a positive correlation between the number of parents/children and the number of siblings/spouses on board, indicating that passengers with larger families tended to have more siblings/spouses as well.\\nFare and Survived: Passengers who paid higher fares were more likely to survive, suggesting that wealthier individuals might have had better access to lifeboats and safer accommodations during the evacuation.\\nFare and Parch: There is a positive correlation between the fare and the number of parents/children on board, indicating that passengers with more family members tended to pay higher fares, possibly for larger cabins or better accommodations.\\n'" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"\"\"\n", + "Negative correlations:\n", + "Fare and Pclass: The fare is highest for passengers in the 1st class, indicating that the 1st class tickets are more expensive compared to the 2nd and 3rd class.\n", + "Age and Pclass: Older passengers are more likely to be in the 1st class, suggesting that the 1st class cabins were preferred by older and potentially wealthier individuals.\n", + "Pclass and Survived: There is a negative correlation between the passenger class and survival rate, implying that more passengers from the higher classes (1st class) had a better chance of surviving the disaster.\n", + "\n", + "Positive correlations:\n", + "Parch and SibSp: There is a positive correlation between the number of parents/children and the number of siblings/spouses on board, indicating that passengers with larger families tended to have more siblings/spouses as well.\n", + "Fare and Survived: Passengers who paid higher fares were more likely to survive, suggesting that wealthier individuals might have had better access to lifeboats and safer accommodations during the evacuation.\n", + "Fare and Parch: There is a positive correlation between the fare and the number of parents/children on board, indicating that passengers with more family members tended to pay higher fares, possibly for larger cabins or better accommodations.\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use the most appropriate plot to display the summary statistics of `Age` depending on `Pclass`." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.histplot(data=titanic, x='Age', hue='Pclass', multiple='stack')\n", + "plt.show()\n", + "\n", + "#The parameter multiple='stack' in sns.histplot() stacks the histograms vertically for each unique value of the categorical variable 'Pclass' (passenger class). This allows visualizing the age distribution for each passenger class separately, with different colors representing each class.\n", + "#It helps compare age distributions among classes effectively." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use seaborn to plot the distribution of `Age` based on the `Gender`.\n", + "**Hint**: Use Facetgrid." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "g = sns.FacetGrid(titanic, col='Gender')\n", + "g.map_dataframe(sns.histplot, x=\"Age\")\n", + "\n", + "plt.show()" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.10.9" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +}