Load theLahmanlibrary. TheTeamsdata frame contains anattendancecolumn. This is the total attendance for the season. To calculate average attendance, divide by the number of games played, as follows:

library(tidyverse)

library(broom)

library(Lahman)

Teams_small <- Teams %>%

filter(yearID %in% 1961:2001) %>%

mutate(avg_attendance = attendance/G)

Use linear models to answer the following 3-part question aboutTeams_small.

Question 1a

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Use runs (R) per game to predict average attendance.

For every 1 run scored per game, attendance increases by how much?

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Use home runs (HR) per game to predict average attendance.

For every 1 home run hit per game, attendance increases by how much?

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Question 1b

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Use number of wins to predict attendance; do not normalize for number of games.

For every game won in a season, how much does average attendance increase?

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Suppose a team won zero games in a season.

Predict the average attendance.

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Question 1c

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Use year to predict average attendance.

How much does average attendance increase each year?

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Question 2

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Game wins, runs per game and home runs per game are positively correlated with attendance. We saw in the course material that runs per game and home runs per game are correlated with each other. Are wins and runs per game or wins and home runs per game correlated?

What is the correlation coefficient for wins and runs per game?

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What is the correlation coefficient for wins and home runs per game?

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StratifyTeams_smallby wins: divide number of wins by 10 and then round to the nearest integer. Keep only strata 5 through 10, which have 20 or more data points.

Use the stratified dataset to answer this three-part question.

Question 3a

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How many observations are in the 8 win strata?

(Note that due to division and rounding, these teams have 75-84 wins.)

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Question 3b

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Calculate the slope of the regression line predicting average attendance given runs per game for each of the win strata.

Which win stratum has the largest regression line slope?

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Calculate the slope of the regression line predicting average attendance given HR per game for each of the win strata.

Which win stratum has the largest regression line slope?

5

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