{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Finishing Touches\n",
"\n",
"This notebook shows how to apply various finishing touches to charts to help them look better.\n",
"\n",
"This notebook uses the “MovieLens + IMDB/RottenTomatoes” data from the [HETREC data](https://grouplens.org/datasets/hetrec-2011/). It also uses data sets built in to Seaborn.\n",
"\n",
"The code in this notebook will make extensive use of the [matplotlib pyplot API](https://matplotlib.org/api/pyplot_api.html) directly, often using it to extend Seaborn-generated plots.\n",
"\n",
"I will add to this notebook as more questions come up in class."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setup\n",
"\n",
"First we will import our modules:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then import the HETREC MovieLens data. A few notes:\n",
"\n",
"- Tab-separated data\n",
"- Not UTF-8 - latin-1 encoding seems to work\n",
"- Missing data encoded as `\\N` (there's a good chance that what we have is a PostgreSQL data dump!)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Movies"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" id \n",
" title \n",
" imdbID \n",
" spanishTitle \n",
" imdbPictureURL \n",
" year \n",
" rtID \n",
" rtAllCriticsRating \n",
" rtAllCriticsNumReviews \n",
" rtAllCriticsNumFresh \n",
" ... \n",
" rtAllCriticsScore \n",
" rtTopCriticsRating \n",
" rtTopCriticsNumReviews \n",
" rtTopCriticsNumFresh \n",
" rtTopCriticsNumRotten \n",
" rtTopCriticsScore \n",
" rtAudienceRating \n",
" rtAudienceNumRatings \n",
" rtAudienceScore \n",
" rtPictureURL \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 \n",
" Toy story \n",
" 114709 \n",
" Toy story (juguetes) \n",
" http://ia.media-imdb.com/images/M/MV5BMTMwNDU0... \n",
" 1995 \n",
" toy_story \n",
" 9.0 \n",
" 73.0 \n",
" 73.0 \n",
" ... \n",
" 100.0 \n",
" 8.5 \n",
" 17.0 \n",
" 17.0 \n",
" 0.0 \n",
" 100.0 \n",
" 3.7 \n",
" 102338.0 \n",
" 81.0 \n",
" http://content7.flixster.com/movie/10/93/63/10... \n",
" \n",
" \n",
" 1 \n",
" 2 \n",
" Jumanji \n",
" 113497 \n",
" Jumanji \n",
" http://ia.media-imdb.com/images/M/MV5BMzM5NjE1... \n",
" 1995 \n",
" 1068044-jumanji \n",
" 5.6 \n",
" 28.0 \n",
" 13.0 \n",
" ... \n",
" 46.0 \n",
" 5.8 \n",
" 5.0 \n",
" 2.0 \n",
" 3.0 \n",
" 40.0 \n",
" 3.2 \n",
" 44587.0 \n",
" 61.0 \n",
" http://content8.flixster.com/movie/56/79/73/56... \n",
" \n",
" \n",
" 2 \n",
" 3 \n",
" Grumpy Old Men \n",
" 107050 \n",
" Dos viejos gruñones \n",
" http://ia.media-imdb.com/images/M/MV5BMTI5MTgy... \n",
" 1993 \n",
" grumpy_old_men \n",
" 5.9 \n",
" 36.0 \n",
" 24.0 \n",
" ... \n",
" 66.0 \n",
" 7.0 \n",
" 6.0 \n",
" 5.0 \n",
" 1.0 \n",
" 83.0 \n",
" 3.2 \n",
" 10489.0 \n",
" 66.0 \n",
" http://content6.flixster.com/movie/25/60/25602... \n",
" \n",
" \n",
" 3 \n",
" 4 \n",
" Waiting to Exhale \n",
" 114885 \n",
" Esperando un respiro \n",
" http://ia.media-imdb.com/images/M/MV5BMTczMTMy... \n",
" 1995 \n",
" waiting_to_exhale \n",
" 5.6 \n",
" 25.0 \n",
" 14.0 \n",
" ... \n",
" 56.0 \n",
" 5.5 \n",
" 11.0 \n",
" 5.0 \n",
" 6.0 \n",
" 45.0 \n",
" 3.3 \n",
" 5666.0 \n",
" 79.0 \n",
" http://content9.flixster.com/movie/10/94/17/10... \n",
" \n",
" \n",
" 4 \n",
" 5 \n",
" Father of the Bride Part II \n",
" 113041 \n",
" Vuelve el padre de la novia (Ahora también abu... \n",
" http://ia.media-imdb.com/images/M/MV5BMTg1NDc2... \n",
" 1995 \n",
" father_of_the_bride_part_ii \n",
" 5.3 \n",
" 19.0 \n",
" 9.0 \n",
" ... \n",
" 47.0 \n",
" 5.4 \n",
" 5.0 \n",
" 1.0 \n",
" 4.0 \n",
" 20.0 \n",
" 3.0 \n",
" 13761.0 \n",
" 64.0 \n",
" http://content8.flixster.com/movie/25/54/25542... \n",
" \n",
" \n",
"
\n",
"
5 rows × 21 columns
\n",
"
"
],
"text/plain": [
" id title imdbID \\\n",
"0 1 Toy story 114709 \n",
"1 2 Jumanji 113497 \n",
"2 3 Grumpy Old Men 107050 \n",
"3 4 Waiting to Exhale 114885 \n",
"4 5 Father of the Bride Part II 113041 \n",
"\n",
" spanishTitle \\\n",
"0 Toy story (juguetes) \n",
"1 Jumanji \n",
"2 Dos viejos gruñones \n",
"3 Esperando un respiro \n",
"4 Vuelve el padre de la novia (Ahora también abu... \n",
"\n",
" imdbPictureURL year \\\n",
"0 http://ia.media-imdb.com/images/M/MV5BMTMwNDU0... 1995 \n",
"1 http://ia.media-imdb.com/images/M/MV5BMzM5NjE1... 1995 \n",
"2 http://ia.media-imdb.com/images/M/MV5BMTI5MTgy... 1993 \n",
"3 http://ia.media-imdb.com/images/M/MV5BMTczMTMy... 1995 \n",
"4 http://ia.media-imdb.com/images/M/MV5BMTg1NDc2... 1995 \n",
"\n",
" rtID rtAllCriticsRating rtAllCriticsNumReviews \\\n",
"0 toy_story 9.0 73.0 \n",
"1 1068044-jumanji 5.6 28.0 \n",
"2 grumpy_old_men 5.9 36.0 \n",
"3 waiting_to_exhale 5.6 25.0 \n",
"4 father_of_the_bride_part_ii 5.3 19.0 \n",
"\n",
" rtAllCriticsNumFresh ... rtAllCriticsScore rtTopCriticsRating \\\n",
"0 73.0 ... 100.0 8.5 \n",
"1 13.0 ... 46.0 5.8 \n",
"2 24.0 ... 66.0 7.0 \n",
"3 14.0 ... 56.0 5.5 \n",
"4 9.0 ... 47.0 5.4 \n",
"\n",
" rtTopCriticsNumReviews rtTopCriticsNumFresh rtTopCriticsNumRotten \\\n",
"0 17.0 17.0 0.0 \n",
"1 5.0 2.0 3.0 \n",
"2 6.0 5.0 1.0 \n",
"3 11.0 5.0 6.0 \n",
"4 5.0 1.0 4.0 \n",
"\n",
" rtTopCriticsScore rtAudienceRating rtAudienceNumRatings rtAudienceScore \\\n",
"0 100.0 3.7 102338.0 81.0 \n",
"1 40.0 3.2 44587.0 61.0 \n",
"2 83.0 3.2 10489.0 66.0 \n",
"3 45.0 3.3 5666.0 79.0 \n",
"4 20.0 3.0 13761.0 64.0 \n",
"\n",
" rtPictureURL \n",
"0 http://content7.flixster.com/movie/10/93/63/10... \n",
"1 http://content8.flixster.com/movie/56/79/73/56... \n",
"2 http://content6.flixster.com/movie/25/60/25602... \n",
"3 http://content9.flixster.com/movie/10/94/17/10... \n",
"4 http://content8.flixster.com/movie/25/54/25542... \n",
"\n",
"[5 rows x 21 columns]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movies = pd.read_csv('hetrec2011-ml/movies.dat', delimiter='\\t', encoding='latin1', na_values=['\\\\N'])\n",
"movies.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"RangeIndex: 10197 entries, 0 to 10196\n",
"Data columns (total 21 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 id 10197 non-null int64 \n",
" 1 title 10197 non-null object \n",
" 2 imdbID 10197 non-null int64 \n",
" 3 spanishTitle 10197 non-null object \n",
" 4 imdbPictureURL 10016 non-null object \n",
" 5 year 10197 non-null int64 \n",
" 6 rtID 9886 non-null object \n",
" 7 rtAllCriticsRating 9967 non-null float64\n",
" 8 rtAllCriticsNumReviews 9967 non-null float64\n",
" 9 rtAllCriticsNumFresh 9967 non-null float64\n",
" 10 rtAllCriticsNumRotten 9967 non-null float64\n",
" 11 rtAllCriticsScore 9967 non-null float64\n",
" 12 rtTopCriticsRating 9967 non-null float64\n",
" 13 rtTopCriticsNumReviews 9967 non-null float64\n",
" 14 rtTopCriticsNumFresh 9967 non-null float64\n",
" 15 rtTopCriticsNumRotten 9967 non-null float64\n",
" 16 rtTopCriticsScore 9967 non-null float64\n",
" 17 rtAudienceRating 9967 non-null float64\n",
" 18 rtAudienceNumRatings 9967 non-null float64\n",
" 19 rtAudienceScore 9967 non-null float64\n",
" 20 rtPictureURL 9967 non-null object \n",
"dtypes: float64(13), int64(3), object(5)\n",
"memory usage: 1.6+ MB\n"
]
}
],
"source": [
"movies.info()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's useful to index movies by ID, so let's just do that now."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"movies = movies.set_index('id')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Movie Info"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" movieID \n",
" genre \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 \n",
" Adventure \n",
" \n",
" \n",
" 1 \n",
" 1 \n",
" Animation \n",
" \n",
" \n",
" 2 \n",
" 1 \n",
" Children \n",
" \n",
" \n",
" 3 \n",
" 1 \n",
" Comedy \n",
" \n",
" \n",
" 4 \n",
" 1 \n",
" Fantasy \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" movieID genre\n",
"0 1 Adventure\n",
"1 1 Animation\n",
"2 1 Children\n",
"3 1 Comedy\n",
"4 1 Fantasy"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movie_genres = pd.read_csv('hetrec2011-ml/movie_genres.dat', delimiter='\\t', encoding='latin1')\n",
"movie_genres.head()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" movieID \n",
" tagID \n",
" tagWeight \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 \n",
" 7 \n",
" 1 \n",
" \n",
" \n",
" 1 \n",
" 1 \n",
" 13 \n",
" 3 \n",
" \n",
" \n",
" 2 \n",
" 1 \n",
" 25 \n",
" 3 \n",
" \n",
" \n",
" 3 \n",
" 1 \n",
" 55 \n",
" 3 \n",
" \n",
" \n",
" 4 \n",
" 1 \n",
" 60 \n",
" 1 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" movieID tagID tagWeight\n",
"0 1 7 1\n",
"1 1 13 3\n",
"2 1 25 3\n",
"3 1 55 3\n",
"4 1 60 1"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movie_tags = pd.read_csv('hetrec2011-ml/movie_tags.dat', delimiter='\\t', encoding='latin1')\n",
"movie_tags.head()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" id \n",
" value \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 1 \n",
" earth \n",
" \n",
" \n",
" 1 \n",
" 2 \n",
" police \n",
" \n",
" \n",
" 2 \n",
" 3 \n",
" boxing \n",
" \n",
" \n",
" 3 \n",
" 4 \n",
" painter \n",
" \n",
" \n",
" 4 \n",
" 5 \n",
" whale \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" id value\n",
"0 1 earth\n",
"1 2 police\n",
"2 3 boxing\n",
"3 4 painter\n",
"4 5 whale"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tags = pd.read_csv('hetrec2011-ml/tags.dat', delimiter='\\t', encoding='latin1')\n",
"tags.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Ratings"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" userID \n",
" movieID \n",
" rating \n",
" timestamp \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 75 \n",
" 3 \n",
" 1.0 \n",
" 1162160236000 \n",
" \n",
" \n",
" 1 \n",
" 75 \n",
" 32 \n",
" 4.5 \n",
" 1162160624000 \n",
" \n",
" \n",
" 2 \n",
" 75 \n",
" 110 \n",
" 4.0 \n",
" 1162161008000 \n",
" \n",
" \n",
" 3 \n",
" 75 \n",
" 160 \n",
" 2.0 \n",
" 1162160212000 \n",
" \n",
" \n",
" 4 \n",
" 75 \n",
" 163 \n",
" 4.0 \n",
" 1162160970000 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" userID movieID rating timestamp\n",
"0 75 3 1.0 1162160236000\n",
"1 75 32 4.5 1162160624000\n",
"2 75 110 4.0 1162161008000\n",
"3 75 160 2.0 1162160212000\n",
"4 75 163 4.0 1162160970000"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ratings = pd.read_csv('hetrec2011-ml/user_ratedmovies-timestamps.dat', delimiter='\\t', encoding='latin1')\n",
"ratings.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We're going to compute movie statistics too:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" RatingCount \n",
" MeanRating \n",
" \n",
" \n",
" movieID \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" 1 \n",
" 1263 \n",
" 3.735154 \n",
" \n",
" \n",
" 2 \n",
" 765 \n",
" 2.976471 \n",
" \n",
" \n",
" 3 \n",
" 252 \n",
" 2.873016 \n",
" \n",
" \n",
" 4 \n",
" 45 \n",
" 2.577778 \n",
" \n",
" \n",
" 5 \n",
" 225 \n",
" 2.753333 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" RatingCount MeanRating\n",
"movieID \n",
"1 1263 3.735154\n",
"2 765 2.976471\n",
"3 252 2.873016\n",
"4 45 2.577778\n",
"5 225 2.753333"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movie_stats = ratings.groupby('movieID')['rating'].agg(['count', 'mean']).rename(columns={\n",
" 'mean': 'MeanRating',\n",
" 'count': 'RatingCount'\n",
"})\n",
"movie_stats.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Seaborn data\n",
"\n",
"We'll also use the Titanic data set from Seaborn:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" survived \n",
" pclass \n",
" sex \n",
" age \n",
" sibsp \n",
" parch \n",
" fare \n",
" embarked \n",
" class \n",
" who \n",
" adult_male \n",
" deck \n",
" embark_town \n",
" alive \n",
" alone \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 0 \n",
" 3 \n",
" male \n",
" 22.0 \n",
" 1 \n",
" 0 \n",
" 7.2500 \n",
" S \n",
" Third \n",
" man \n",
" True \n",
" NaN \n",
" Southampton \n",
" no \n",
" False \n",
" \n",
" \n",
" 1 \n",
" 1 \n",
" 1 \n",
" female \n",
" 38.0 \n",
" 1 \n",
" 0 \n",
" 71.2833 \n",
" C \n",
" First \n",
" woman \n",
" False \n",
" C \n",
" Cherbourg \n",
" yes \n",
" False \n",
" \n",
" \n",
" 2 \n",
" 1 \n",
" 3 \n",
" female \n",
" 26.0 \n",
" 0 \n",
" 0 \n",
" 7.9250 \n",
" S \n",
" Third \n",
" woman \n",
" False \n",
" NaN \n",
" Southampton \n",
" yes \n",
" True \n",
" \n",
" \n",
" 3 \n",
" 1 \n",
" 1 \n",
" female \n",
" 35.0 \n",
" 1 \n",
" 0 \n",
" 53.1000 \n",
" S \n",
" First \n",
" woman \n",
" False \n",
" C \n",
" Southampton \n",
" yes \n",
" False \n",
" \n",
" \n",
" 4 \n",
" 0 \n",
" 3 \n",
" male \n",
" 35.0 \n",
" 0 \n",
" 0 \n",
" 8.0500 \n",
" S \n",
" Third \n",
" man \n",
" True \n",
" NaN \n",
" Southampton \n",
" no \n",
" True \n",
" \n",
" \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" \n",
" \n",
" 886 \n",
" 0 \n",
" 2 \n",
" male \n",
" 27.0 \n",
" 0 \n",
" 0 \n",
" 13.0000 \n",
" S \n",
" Second \n",
" man \n",
" True \n",
" NaN \n",
" Southampton \n",
" no \n",
" True \n",
" \n",
" \n",
" 887 \n",
" 1 \n",
" 1 \n",
" female \n",
" 19.0 \n",
" 0 \n",
" 0 \n",
" 30.0000 \n",
" S \n",
" First \n",
" woman \n",
" False \n",
" B \n",
" Southampton \n",
" yes \n",
" True \n",
" \n",
" \n",
" 888 \n",
" 0 \n",
" 3 \n",
" female \n",
" NaN \n",
" 1 \n",
" 2 \n",
" 23.4500 \n",
" S \n",
" Third \n",
" woman \n",
" False \n",
" NaN \n",
" Southampton \n",
" no \n",
" False \n",
" \n",
" \n",
" 889 \n",
" 1 \n",
" 1 \n",
" male \n",
" 26.0 \n",
" 0 \n",
" 0 \n",
" 30.0000 \n",
" C \n",
" First \n",
" man \n",
" True \n",
" C \n",
" Cherbourg \n",
" yes \n",
" True \n",
" \n",
" \n",
" 890 \n",
" 0 \n",
" 3 \n",
" male \n",
" 32.0 \n",
" 0 \n",
" 0 \n",
" 7.7500 \n",
" Q \n",
" Third \n",
" man \n",
" True \n",
" NaN \n",
" Queenstown \n",
" no \n",
" True \n",
" \n",
" \n",
"
\n",
"
891 rows × 15 columns
\n",
"
"
],
"text/plain": [
" survived pclass sex age sibsp parch fare embarked class \\\n",
"0 0 3 male 22.0 1 0 7.2500 S Third \n",
"1 1 1 female 38.0 1 0 71.2833 C First \n",
"2 1 3 female 26.0 0 0 7.9250 S Third \n",
"3 1 1 female 35.0 1 0 53.1000 S First \n",
"4 0 3 male 35.0 0 0 8.0500 S Third \n",
".. ... ... ... ... ... ... ... ... ... \n",
"886 0 2 male 27.0 0 0 13.0000 S Second \n",
"887 1 1 female 19.0 0 0 30.0000 S First \n",
"888 0 3 female NaN 1 2 23.4500 S Third \n",
"889 1 1 male 26.0 0 0 30.0000 C First \n",
"890 0 3 male 32.0 0 0 7.7500 Q Third \n",
"\n",
" who adult_male deck embark_town alive alone \n",
"0 man True NaN Southampton no False \n",
"1 woman False C Cherbourg yes False \n",
"2 woman False NaN Southampton yes True \n",
"3 woman False C Southampton yes False \n",
"4 man True NaN Southampton no True \n",
".. ... ... ... ... ... ... \n",
"886 man True NaN Southampton no True \n",
"887 woman False B Southampton yes True \n",
"888 woman False NaN Southampton no False \n",
"889 man True C Cherbourg yes True \n",
"890 man True NaN Queenstown no True \n",
"\n",
"[891 rows x 15 columns]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"titanic = sns.load_dataset('titanic')\n",
"titanic"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And the Tips data:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" total_bill \n",
" tip \n",
" sex \n",
" smoker \n",
" day \n",
" time \n",
" size \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 16.99 \n",
" 1.01 \n",
" Female \n",
" No \n",
" Sun \n",
" Dinner \n",
" 2 \n",
" \n",
" \n",
" 1 \n",
" 10.34 \n",
" 1.66 \n",
" Male \n",
" No \n",
" Sun \n",
" Dinner \n",
" 3 \n",
" \n",
" \n",
" 2 \n",
" 21.01 \n",
" 3.50 \n",
" Male \n",
" No \n",
" Sun \n",
" Dinner \n",
" 3 \n",
" \n",
" \n",
" 3 \n",
" 23.68 \n",
" 3.31 \n",
" Male \n",
" No \n",
" Sun \n",
" Dinner \n",
" 2 \n",
" \n",
" \n",
" 4 \n",
" 24.59 \n",
" 3.61 \n",
" Female \n",
" No \n",
" Sun \n",
" Dinner \n",
" 4 \n",
" \n",
" \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" \n",
" \n",
" 239 \n",
" 29.03 \n",
" 5.92 \n",
" Male \n",
" No \n",
" Sat \n",
" Dinner \n",
" 3 \n",
" \n",
" \n",
" 240 \n",
" 27.18 \n",
" 2.00 \n",
" Female \n",
" Yes \n",
" Sat \n",
" Dinner \n",
" 2 \n",
" \n",
" \n",
" 241 \n",
" 22.67 \n",
" 2.00 \n",
" Male \n",
" Yes \n",
" Sat \n",
" Dinner \n",
" 2 \n",
" \n",
" \n",
" 242 \n",
" 17.82 \n",
" 1.75 \n",
" Male \n",
" No \n",
" Sat \n",
" Dinner \n",
" 2 \n",
" \n",
" \n",
" 243 \n",
" 18.78 \n",
" 3.00 \n",
" Female \n",
" No \n",
" Thur \n",
" Dinner \n",
" 2 \n",
" \n",
" \n",
"
\n",
"
244 rows × 7 columns
\n",
"
"
],
"text/plain": [
" total_bill tip sex smoker day time size\n",
"0 16.99 1.01 Female No Sun Dinner 2\n",
"1 10.34 1.66 Male No Sun Dinner 3\n",
"2 21.01 3.50 Male No Sun Dinner 3\n",
"3 23.68 3.31 Male No Sun Dinner 2\n",
"4 24.59 3.61 Female No Sun Dinner 4\n",
".. ... ... ... ... ... ... ...\n",
"239 29.03 5.92 Male No Sat Dinner 3\n",
"240 27.18 2.00 Female Yes Sat Dinner 2\n",
"241 22.67 2.00 Male Yes Sat Dinner 2\n",
"242 17.82 1.75 Male No Sat Dinner 2\n",
"243 18.78 3.00 Female No Thur Dinner 2\n",
"\n",
"[244 rows x 7 columns]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tips = sns.load_dataset(\"tips\")\n",
"tips"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Labels and Titles\n",
"\n",
"The first thing we want to do is to make sure our chart is *well-labeled*. Seaborn has pretty good defaults — it uses the column names, when possible — but our column names don't always fully explain what we want to do.\n",
"\n",
"For example, let's use our basic bar chart:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.catplot('class', 'survived', hue='sex', data=titanic, kind='bar')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The *y* axis label on this chart isn't very informative — what does “survived” mean as a numeric variable? We can relable the *y* axis with the `ylabel` function:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(30.160833333333343, 0.5, 'Survival Rate')"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAaMAAAFgCAYAAAAW6RbuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAZ+0lEQVR4nO3de7RdZX3u8e9jAEHEK2mjXAoiVZGbElGrVVCrweMQb1SoR4ZWRVrRejwYGa2iFak1WI+iKI0O5FhR9FQ9UqXgpYr1DlQgBgVziGICuyZSEAHFkN/5Y83ocruzswhr5t2X72eMPfaac757rt9eO9nPnu965/umqpAkqaW7tS5AkiTDSJLUnGEkSWrOMJIkNWcYSZKa2651AXfWkiVL6oILLmhdhiRtSVoXMJvMuiuj9evXty5BkjRmsy6MJElzj2EkSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzhpEkqTnDSJLUnGEkSWqutzBKclaSnyT57maOJ8npSVYluSLJI/uqRZI0s/V5ZXQ2sGSa40cA+3YfxwHv67EWSdIM1tus3VX1lSR7TdPkSOBDVVXAN5PcJ8kDqur6vmqaq5YuXcrExASLFi1i2bJlrcuRpDut5RISuwE/Htpe0+37nTBKchyDqyf23HPPbVLcbDIxMcHatWtblyFJW63lAIap1vqoqRpW1fKqWlxVixcuXNhzWZKkba1lGK0B9hja3h24rlEtkqSGWobRecCx3ai6xwA3+X6RJM1Pvb1nlOSjwGHArknWAG8EtgeoqjOB84GnA6uAW4EX91WLJGlm63M03TFbOF7AK/p6fknS7OEMDJKk5loO7ZbmHO/5kraOYSSNkfd8SVvHMGrk2jcfMLZzbbjhfsB2bLjhR2M7754nrxjLeSRpFL5nJElqzjCSJDVnGEmSmjOMJEnNGUaSpOYMI0lSc4aRJKk5w0iS1JxhJElqzjCSJDVnGEmSmjOMJEnNGUaSpOactXsO2HXHjcCG7rPuLGdQl9ozjOaAEw+8sXUJknSX2E0nSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzhpEkqTnDSJLUnGEkSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzhpEkqTnDSJLUnGEkSWrOMJIkNeey49IY7brjRmBD91nSqAwjaYxOPPDG1iVIs5LddJKk5gwjSVJzhpEkqTnDSJLUnGEkSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzvYZRkiVJrkqyKslJUxy/d5J/SXJ5kpVJXtxnPZKkmam3MEqyADgDOALYDzgmyX6Tmr0CuLKqDgIOA/4hyQ591SRJmpn6vDI6FFhVVddU1e3AucCRk9oUsEuSAPcEbgA29FiTJGkG6jOMdgN+PLS9pts37D3Aw4DrgBXAX1WVc+9L0jzTZxhlin01aftpwGXAA4GDgfckudfvnCg5LsklSS5Zt27d+CuVJDXVZxitAfYY2t6dwRXQsBcDn6yBVcBq4KGTT1RVy6tqcVUtXrhwYW8FS5La6DOMLgb2TbJ3NyjhaOC8SW2uBZ4MkOT3gYcA1/RYkyRpBuptpdeq2pDkBOBCYAFwVlWtTHJ8d/xM4BTg7CQrGHTrva6q1vdVkyRpZup12fGqOh84f9K+M4ceXwc8tc8aJEkznzMwSJKaM4wkSc0ZRpKk5gwjSVJzhpEkqTnDSJLUnGEkSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzhpEkqTnDSJLUnGEkSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzhpEkqTnDSJLUnGEkSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzhpEkqTnDSJLUnGEkSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzhpEkqTnDSJLUnGEkSWrOMJIkNWcYSZKaM4wkSc0ZRpKk5gwjSVJzWwyjJPdI8oYk7++2903yjP5LkyTNF6NcGX0Q+CXw2G57DfCW3iqSJM07o4TRPlW1DPgVQFXdBqTXqiRJ88ooYXR7kp2AAkiyD4MrJUmSxmK7Edq8CbgA2CPJOcDjgBf3WZQkaX7ZYhhV1eeSXAo8hkH33F9V1freK5MkzRujjKb7YlX9tKo+W1Wfqar1Sb44ysmTLElyVZJVSU7aTJvDklyWZGWSi+7sNyBJmv02e2WUZEfgHsCuSe7LbwYt3At44JZOnGQBcAbwJwxG4F2c5LyqunKozX2A9wJLquraJL+31d+JJGnWmq6b7uXAqxkEz6X8Jox+xiBktuRQYFVVXQOQ5FzgSODKoTZ/Bnyyqq4FqKqf3KnqJUlzwma76arqXVW1N3BiVT2oqvbuPg6qqveMcO7dgB8Pba/p9g37Q+C+Sb6c5NIkx051oiTHJbkkySXr1q0b4aklSbPJKAMY3p1kf2A/YMeh/R/awpdOdS9STfH8hwBPBnYCvpHkm1V19aQalgPLARYvXjz5HJKkWW6LYZTkjcBhDMLofOAI4KvAlsJoDbDH0PbuwHVTtFlfVbcAtyT5CnAQcDWSpHljlJten8fgymWiql7MICzuPsLXXQzsm2TvJDsARwPnTWrzaeCPk2yX5B7Ao4HvjVy9JGlOGOWm19uqamOSDUnuBfwEeNCWvqiqNiQ5AbgQWACcVVUrkxzfHT+zqr6X5ALgCmAj8IGq+u5WfzeSNGTp0qVMTEywaNEili1b1rocTWOUMLqkG4L9fgaj6n4OfHuUk1fV+Qy69ob3nTlp+zTgtJGqlaQ7YWJigrVr17YuQyMYZQDDX3YPz+yuYu5VVVf0W5YkaT6Z9j2jJAuS7Dq06zrgMUl8X0eSNDabDaMkRwM3AFckuSjJ4cA1DEbTvWAb1SdJmgem66Z7PXBIVa1K8kjgG8DRVfWpbVOaJGm+mK6b7vaqWgVQVf8BrDaIJEl9mO7K6PeSvGZo+57D21X1jv7KkiTNJ9OF0fuBXabZliRpLDYbRlX1t9uyEEnS/DXKdECSJPXKMJIkNWcYSZKam27Z8dds7hg4mk6SND7TjaZz5JwkaZtwNJ0kqblRVnrdEXgJ8HB+e9nxP++xLknSnZRkZ+DjDFbWXgCcAqwC3gHcE1gPvAi4lcFSQM+sqquSfBT4t6p6f4u6YbQBDP8ELAKeBlzE4Ju8uc+iJElbZQlwXVUdVFX7AxcA7waeV1WHAGcBp1bVTcAJwNndpNj3bRlEMNrieg+uqqOSHFlV/zvJRxis3ipJmllWAG9P8jbgM8B/AfsDn08Cg6ul6wGq6vNJjgLOAA5qU+5vjBJGv+o+35hkf2AC2Ku3iiRJW6Wqrk5yCPB04K3A54GVVfXYyW2T3A14GHAbcD9gzbasdbJRuumWJ7kv8AbgPOBK4G29ViVJutOSPBC4tao+DLwdeDSwMMlju+PbJ3l41/x/AN8DjgHOSrJ9i5o3GeXK6INVdQeD94se1HM9kqStdwBwWpKNDHq1/gLYAJye5N4Mfue/M8mvgJcCh1bVzUm+wmANuzc2qnukMFqd5ALgYwxGW1TPNUmStkJVXcjU7+k/YYp9Dxv6umknOdgWRummewjwBeAVwA+TvCfJ4/stS5I0n2wxjKrqtqr6eFU9BzgYuBeDLjtJksZilG46kjwReD5wBHAx8Kd9FiVp/rr2zQeM7VwbbrgfsB0bbvjR2M6758krxnIe/bZRZmBYDVzG4K7e11bVLb1XJUmaV0a5Mjqoqn7WeyWSpHlruiUkllbVMuDUJL8zgq6qXtVrZZKkeWO6K6PvdZ8v2RaFSJJmliSHASdW1TP6fq7plpD4l+7hFVX1nb4LkaS57pDXfmis92leetqxGef5WhrlPqN3JPl+klOGppGQJM0CSfbqfod/IMl3k5yT5ClJvpbkB0kO7T6+nuQ73eeHTHGenZOcleTirt2R46xzlPuMDgcOA9YxmKduRZLXj7MISVKvHgy8CzgQeCjwZ8DjgROBvwa+Dzyhqh4BnAz83RTn+BsGs/A8CjicwbRDO4+rwFGujKiqiao6HTiewTDvk8dVgCSpd6urakVVbQRWAl/spnZbwWAVhnsD/yfJd4H/xWAx1cmeCpyU5DLgywwWW91zXAWOcp/Rwxjc8Po84KfAucD/HFcBkqTe/XLo8cah7Y0McuAU4EtV9ewkezEIm8kCPLeqruqjwFGujD7IYIGmp1bVE6vqfVX1kz6KkSQ1cW9gbff4RZtpcyHwynSr9CV5xDgLmDaMkiwA/l9VvauqrhvnE0uSZoxlwFuTfI3BarBTOQXYHrii6847ZZwFTNtNV1V3JLl/kh2q6vZxPrEkzTcthmJX1Q8ZLD2+aftFmzn2h0Nf9obu+Jfpuuyq6jbg5X3VOcp0QD8CvpbkPODX89JV1Tv6KkqSNL+MEkbXdR93A3bpt5yZaenSpUxMTLBo0SKWLVvWuhxJmnO2GEZV9bfbopCZbGJigrVr1265oSRpq4wytPtLwFQTpT6pl4okSfPOKN10Jw493hF4LrChn3IkSfPRKN10l07a9bUkLjsuSRqbLd70muR+Qx+7JnkasGgb1CZJGoMkr0ryvSTn9HT+NyU5ccstN2+UbrpLGbxnFAbdc6uBl9yVJ5Wk+ejaNx8w1iUk9jx5xaj3Lf0lcERVrR7n84/TKN10e2+LQiRJ45fkTOBBwHlJzgX2AQ5g8Pv/TVX16SQvAp7FYPaF/YF/AHYAXshgHrunV9UNSV4GHNcdWwW8sKpunfR8+wBnAAuBW4GXVdX3t1TnZrvpkjwqyaKh7WOTfDrJ6UnuN+LrIElqqKqOZ3Cv6OHAzmx+GYj9GSwtcShwKnBrt6TEN4BjuzafrKpHVdVBDFYDn6qXbDnwyqo6hMEAuPeOUud0V0b/CDwFIMkTgL8HXgkc3D3Z80Z5AknSjPFU4JlD7+8MLwPxpaq6Gbg5yU3AptW+VzBYBwlg/yRvAe4D3JPB5Km/luSewB8xWI5i0+67j1LYdGG0oKpu6B4/H1heVZ8APtGtZyFJml2mXAYiyaPZ8jITAGcDz6qqy7uuvcMmnf9uwI1VdfCdLWy60XQLkmwq4MnAvw0dG2XggyRpZrmry0DsAlyfZHvgBZMPVtXPgNVJjurOnyQHjXLi6cLoo8BFST4N3Ab8e3fyBwM3jXLyJEuSXJVkVZKTpmn3qCR3JLHrT9LY7LrjRn5/pw3suuPG1qXMFHd1GYg3AN8CPs9gqfKpvAB4SZLLGawqe+QoJ97sFU5VnZrki8ADgM91S9TCIMBeuaUTd2shnQH8CbAGuDjJeVV15RTt3sakvkdJuqtOPPDG1iX8ljsxFHusqmqvoc3fWQaiqs5m0AX3O+2Hj1XV+4D3TfH1bxp6vBpYcmdr3NJ6Rt+cYt/VI577UGBVVV0D0A0pPBK4clK7VwKfAB414nklSXPMKMuOb63dgB8Pba/p9v1akt2AZwNn9liHJGmG6zOMprocnXz38TuB11XVHdOeKDkuySVJLlm3bt3YCpQkzQx9jopbA+wxtL07gxuvhi0Gzu0GduwKPD3Jhqr6v8ONqmo5g3ubWLx48Vin05AktddnGF0M7Jtkb2AtcDSDu3t/bXiqoSRnA5+ZHESSpLmvtzCqqg1JTmAwSm4BcFZVrUxyfHfc94kkSUDPN69W1fnA+ZP2TRlCVfWiPmuRJM1cfQ5gkCRpJIaRJKk5w0iS1JxhJElqbs7Ovn3Iaz80tnPtsv5mFgDXrr95bOf91C5jOY0kzQleGUmSmjOMJEnNGUaSpOYMI0lSc4aRJKk5w0iS1JxhJElqzjCSJDVnGEmSmjOMJEnNGUaSpOYMI0lSc4aRJKk5w0iS1JxhJElqzjCSJDVnGEmSmjOMJEnNGUaSpOYMI0lSc4aRJKk5w0iS1JxhJElqzjCSJDW3XesCZoONO+z8W58lSeNlGI3gln2f2roESZrT7KaTJDVnGEmSmjOMJEnNGUaSpOYMI0lSc4aRJKk5w0iS1JxhJElqzjCSJDVnGEmSmjOMJEnNGUaSpOYMI0lSc4aRJKk5w0iS1JzrGWnWWbp0KRMTEyxatIhly5a1LkfSGBhGmnUmJiZYu3Zt6zIkjZHddJKk5gwjSVJzvYZRkiVJrkqyKslJUxx/QZIruo+vJzmoz3okSTNTb2GUZAFwBnAEsB9wTJL9JjVbDTyxqg4ETgGW91WPJGnm6vPK6FBgVVVdU1W3A+cCRw43qKqvV9V/dZvfBHbvsR5J0gzVZxjtBvx4aHtNt29zXgL861QHkhyX5JIkl6xbt26MJUqSZoI+wyhT7KspGyaHMwij1011vKqWV9Xiqlq8cOHCMZYoSZoJ+rzPaA2wx9D27sB1kxslORD4AHBEVf20x3okSTNUn1dGFwP7Jtk7yQ7A0cB5ww2S7Al8EnhhVV3dYy2SpBmstyujqtqQ5ATgQmABcFZVrUxyfHf8TOBk4P7Ae5MAbKiqxX3VJEmamXqdDqiqzgfOn7TvzKHHLwVe2mcNkqSZzxkYJEnNGUaSpOactVvSVnM5D42LYSRpq7mch8bFbjpJUnOGkSSpOcNIktSc7xlpmzjktR8a27l2WX8zC4Br1988lvN+ape7XpOku8YrI0lSc4aRJKk5w0iS1JxhJElqzjCSJDXnaDppnpnJIxvB0Y3zlVdGkqTmDCNJUnOGkSSpOcNIktScYSRJas4wkiQ1ZxhJkpozjCRJzRlGkqTmDCNJUnNOByRpq23cYeff+ixtLcNI0la7Zd+nti5Bc4TddJKk5rwy0qxj15A09xhGmnXsGpLmHrvpJEnNGUaSpOYMI0lSc4aRJKk5w0iS1JxhJElqzjCSJDVnGEmSmjOMJEnNGUaSpOYMI0lSc4aRJKk5w0iS1JxhJElqzjCSJDVnGEmSmjOMJEnNGUaSpOYMI0lSc4aRJKk5w0iS1FyvYZRkSZKrkqxKctIUx5Pk9O74FUke2Wc9kqSZqbcwSrIAOAM4AtgPOCbJfpOaHQHs230cB7yvr3okSTNXn1dGhwKrquqaqrodOBc4clKbI4EP1cA3gfskeUCPNUmSZqDtejz3bsCPh7bXAI8eoc1uwPXDjZIcx+DKCeDnSa4ab6nb3h/ArsD61nVs1hvTuoJtxp/FzDKHfh4XVNWSPkuZS/oMo6l+YrUVbaiq5cDycRQ1UyS5pKoWt65D/ixmGn8e81Of3XRrgD2GtncHrtuKNpKkOa7PMLoY2DfJ3kl2AI4GzpvU5jzg2G5U3WOAm6rq+sknkiTNbb1101XVhiQnABcCC4CzqmplkuO742cC5wNPB1YBtwIv7queGWhOdTvOcv4sZhZ/HvNQqn7nLRpJkrYpZ2CQJDVnGEmSmjOMxizJHUkuG/rYK8nX7+Q5Xp3kHn3VONck+ZskK7sppS5LMvl+tr6f/7Akn9mWzzlbJLn/0P+FiSRru8c3JrlyM1/z5iRPGeHcvu5zSJ/3Gc1Xt1XVwZP2/dHkRkkWVNUdmznHq4EPMxjUoWkkeSzwDOCRVfXLJLsCOzQuS52q+ilwMECSNwE/r6q3J9kLmDJIqurkqfZv4f+MZjmvjLaBJD/vPh+W5EtJPgKsSLJzks8muTzJd5M8P8mrgAcCX0rypaaFzw4PANZX1S8Bqmp9VV2X5JAkFyW5NMmFm6aZSvLgJF/oXvP/SLJPd2vBad3PYEWS53dtD0vy5ST/nOT7Sc5Jku7Ykm7fV4HntPrmZ7kFSd7fXdV+LslOAEnOTvK87vEPk5zcvc5H+brPXV4Zjd9OSS7rHq+uqmdPOn4osH9VrU7yXOC6qvpvAEnuXVU3JXkNcHhVzdwpUWaOzwEnJ7ka+ALwMeDrwLuBI6tqXRcupwJ/DpwD/H1VfSrJjgz+IHsOg7/eD2IwFc3FSb7Snf8RwMMZ3Iz9NeBxSS4B3g88icFtCR/bJt/p3LMvcExVvSzJx4HnMugRmOwXVfX47uf1A3zd5ySvjMbvtqo6uPuYHEQA366q1d3jFcBTkrwtyR9X1U3bsM45oap+DhzCYO7CdQx+Qb0c2B/4fPeHweuB3ZPsAuxWVZ/qvvYXVXUr8Hjgo1V1R1X9J3AR8KjuKb5dVWuqaiNwGbAX8FAGf2j8oAb3Rkz1C1RbtrqqNv3hdimD13Yqm0LH130O88po27tl04OqujrJIQxu/H1rks9V1ZvblTY7de8jfBn4cpIVwCuAlVX12OF2Se61mVNMN/PlL4ce38Fv/s94g95dN/m13Wkz7W4ZeuzrPkd5ZdRQkgcCt1bVh4G3A5sWF7wZ2KVZYbNIkock2Xdo18HA94CF3eAGkmyf5OFV9TNgTZJndfvv3o1a/Arw/CQLkiwEngB8e5qn/T6wd5J9uu1jxvxtaWq+7nOYV0ZtHQCclmQj8CvgL7r9y4F/TXJ9VR3erLrZ4Z7Au5PcB9jA4L2E4xi8hqcnuTeDf+fvBFYCLwT+McmbGbzmRwGfAh4LXM7gL++lVTWR5KFTPWFV/SKDZU0+m2Q98FUG3YLqka/73OZ0QJKk5uymkyQ1ZxhJkpozjCRJzRlGkqTmDCNJUnOGkeaFJG9KcmLrOiRNzTCSJDVnGGlOSnJst77R5Un+adKxlyW5uDv2iW4WBpIc1c3cffmmiVKTPDzJt7s1eK6YNNuDpDHxplfNOUkeDnwSeFxVrU9yP+BV/GYtnft36+yQ5C3Af1bVu7t57ZZU1dok96mqG5O8G/hmVZ2TZAdgQVXd1up7k+Yqr4w0Fz0J+OdNS3BU1Q2Tju+f5N+78HkBgyUiYLBExNlJXgYs6PZ9A/jrJK8D/sAgkvphGGkuCtPP7nw2cEJVHQD8LbAjQFUdz2C5iT2Ay7orqI8AzwRuAy5M8qQ+C5fmK8NIc9EXgT9Ncn+Arptu2C7A9Um2Z3BlRNdun6r6Vrfs9XpgjyQPAq6pqtOB84ADt8l3IM0zztqtOaeqViY5FbgoyR3Ad4AfDjV5A/At4EcMFjjctFzHad0AhTAItMuBk4D/nuRXwATgelNSDxzAIElqzm46SVJzhpEkqTnDSJLUnGEkSWrOMJIkNWcYSZKaM4wkSc39f5m5I/FEv347AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.catplot('class', 'survived', hue='sex', data=titanic, kind='bar')\n",
"plt.ylabel('Survival Rate')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also clean up the *x* axis just a bit, and give the chart a title:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Titanic Passenger Survival Rates')"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.catplot('class', 'survived', hue='sex', data=titanic, kind='bar')\n",
"plt.ylabel('Survival Rate')\n",
"plt.xlabel('Passage Class')\n",
"plt.title('Titanic Passenger Survival Rates')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reference Lines\n",
"\n",
"Remember our scatter plot of the `tips` data?"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Tip')"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot('total_bill', 'tip', hue='time', data=tips)\n",
"plt.xlabel(\"Total Bill\")\n",
"plt.ylabel(\"Tip\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What if we want to easily see how actual tips related to 20% of the bill? 20% would be represented by a line passing through $(0,0)$ with a slope of $0.2$. The latest matplotlib version has a function to do this automatically, but it hasn't made its way to Anaconda yet, so we'll need to get a little manual.\n",
"\n",
"What we need to do is make a *line plot* of a bunch of bill values - say from 0 to some reasonable upper bound - and each value multipled by 0.2. Matplotlib is a pretty low-level interface. The `numpy.linspace` function lets us generate a bunch of `x` values:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"tip20_xs = np.linspace(0, 55, 100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Which we can multiply by 20%:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"tip20_ys = tip20_xs * 0.2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can plot a line:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(tip20_xs, tip20_ys)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OK, that's good! It matches one of the colors that Seaborn will use; no worries, we can change the color.\n",
"\n",
"We're going to draw our line first, so it is *behind* the Seaborn dots. Let's give it a try:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(tip20_xs, tip20_ys, color='grey')\n",
"sns.scatterplot('total_bill', 'tip', hue='time', data=tips)\n",
"plt.xlabel(\"Total Bill\")\n",
"plt.ylabel(\"Tip\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's also change the markers used for the two times. This will make it easier to read the plot on e.g. a black-and-white printer. In Seaborn, we can do this with `style`.\n",
"\n",
" Also, maybe we don't like the colors - let's change palettes."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(tip20_xs, tip20_ys, color='grey')\n",
"sns.scatterplot('total_bill', 'tip', hue='time', style='time', data=tips, palette='dark')\n",
"plt.xlabel(\"Total Bill\")\n",
"plt.ylabel(\"Tip\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In Matplotlib, the parameters for colors and styles have different names."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Controlling Size\n",
"\n",
"All these plots are using a default size and aspect ratio. What if we want to change that?\n",
"\n",
"The `figure` call will reconfigure matplotlib for the duration of drawing the figure (until `plt.show()` is called):"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(5, 4), dpi=150)\n",
"plt.plot(tip20_xs, tip20_ys, color='grey')\n",
"sns.scatterplot('total_bill', 'tip', hue='time', style='time', data=tips, palette='dark')\n",
"plt.xlabel(\"Total Bill\")\n",
"plt.ylabel(\"Tip\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some Seaborn functions are *figure-level*. Such functions set up the Matplotlib figure themselves, but provide a way to control its size through the *height* and *aspect* options. `height` sets the height of the figure, and `aspect` the multiplier used to compute the width."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.relplot('total_bill', 'tip', hue='time', style='time', data=tips, palette='dark', height=4, aspect=1.5)\n",
"plt.xlabel(\"Total Bill\")\n",
"plt.ylabel(\"Tip\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In *Concluding Remarks*, I say more about what “figure-level” means."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Saving to Disk\n",
"\n",
"We can save a chart to a file with `savefig`:"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(tip20_xs, tip20_ys, color='grey')\n",
"sns.scatterplot('total_bill', 'tip', hue='time', style='time', data=tips, palette='dark')\n",
"plt.xlabel(\"Total Bill\")\n",
"plt.ylabel(\"Tip\")\n",
"plt.savefig('tips.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That creates a file `tips.png` with the image; let's load it with an HTML `img` tag into our document:\n",
"\n",
"![Tip Figure](tips.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can also save images to `.pdf` files, which is very useful for writing papers in LaTeX. The resulting figure will be entirely vector-based, so it will look good at any zoom level in your final PDF. For PNG figures used in e.g. Word, I recommend also passing `dpi=300` to `savefig`, to render them at high resolution so they look good. I haven't found a good vector format that is supported by Matplotlib and embeddable in Word.\n",
"\n",
"If you have a figure with a very large number of points (e.g. a scaatter plot with thousands to millions of points), the resulting PDF will render *each* point, which will make your document very slow to render and may crash some printers. In such cases, high-DPI (at least 300) PNG is also a good option for LaTeX.\n",
"\n",
"Don't use JPEG. It will introduce visual artifacts into your figures."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Concluding Remarks\n",
"\n",
"Seaborn is basically a set of convenience APIs on top of matplotlib (and statsmodels). It is great for relatively standard chart types, and makes things like faceting far easier than core matplotlib makes them. However, since all it does is call matplotlib in a relatively straightforward fashion, you can (for the most part) freely interchange seaborn and matplotlib calls.\n",
"\n",
"Some Seaborn functions are \"figure-level\". Matplotlib has concepts of *figures* and *axes*; basically an `Axes` is one plot with *x* and *y* axes. A figure can have multiple axes on it (called *subplots*). Figure-level functions will take over the Matplotlib figure/axes structure, so they can do things like faceting. When a figure-level function creates multiple axes, touching up the plots with direct matplotlib calls is a little more difficult. Other Seaborn functions can actually be given the `Axes` to draw themselves on, in case you are managing figures and axes yourself.\n",
"\n",
"A detailed discussion of matplotlib's API design and capabilities is beyond the scope of this course.\n",
"We'll be seeing more examples (and this notebook will be expanded) as the course progresses, and I encourage you to look at the galleries and tutorials provided by seaborn and matplotlib for inspiration and instructions on more sophisticated plots.\n",
"\n",
"[plotnine](https://plotnine.readthedocs.io/en/stable/gallery.html) makes assembling nuanced, polished charts quite a bit easier, abstracting over matplotlib's capabilities with a uniform API called the *Grammar of Graphics* (pioneered by the R package ggplot2), but it is currently harder to install in Anaconda. I want our notebooks for this class to run out of the box in Anaconda when possible, in order to minimize software difficulties."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.8.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}