$7\mathrm{.}5$ LAB: Creating simple linear regression models

The nbaallelo$\_$slr dataset contains information on $126315$ NBA games between $1947$ and $2015.$ The columns report the points made

by one team, the Elo rating of that team coming into the game, the Elo rating of the team after the game, and the points made by the

opposing team. The Elo score measures the relative skill of teams in a league.

Load the dataset into a data frame.

Create a new column y in the data frame that is the difference between the points made by the two teams.

Use sklearn's LinearRegression $()$ function to perform a simple linear regression on the y and elo$\_$i columns.

Compute the proportion of variation explained by the linear regression using the LinearRegression object's score method.

Ex: If the Elo rating of the team after the game, $el{o}_n,$ is used instead of $el{o}_i,$ the output is:

The intercept of the linear regression line is $-59\mathrm{.}135.$

The slope of the linear regression line is $0\mathrm{.}040.$

The proportion of variation explained by the linear regression model is $0\mathrm{.}111.$

$525076\mathrm{.}2609636.q3zqy7$

LAB

ACTIVITY

$7\mathrm{.}5\mathrm{.}1$: LAB: Creating simple linear regression models

main.py

Load default template...

# Import the necessary modules

import pandas as pd

import numpy as $np$

from sklearn.linear$\_$model import LinearRegression

# Read in nbaallelo$\_$slr$.$csv

nba$=$# Your code here

# Create a new column in the data frame that is the difference between pts and opp$\_$pts

nba$[\text{'}$y$\text{'}]=$ #Your code here

# Store relevant columns as variables

$x=$# Your code here

$y=$# Your code here

# Initialize the Linear regression model

SLRModel $=$# Your code here

# Fit the model on $x$ and $y$

# Your code here

# Print the intercept

intercept $=$# Your code here

print $(\text{'}$The intercept of the linear regression line is $\text{'},$ end$="")$

# Print the slope

slope $=$ # Your code here

print $("$The slope of the linear regression line is $",$ end$="")$

# Compute the proportion of variation explained by the linear regression using the LinearRegression object's score me

score $=$ # Your code here

print $(\text{'}$The proportion of variation explained by the linear regression model is $\text{'},$ end$="")$

print$(\text{'}\%\mathrm{.}3$f$\text{'}\%$ score $+".")]$