Question 3a -

How many observations are in the 8 win strata?

Question 3b -

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?

5

6

7

8

9

10

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

6

7

8

9

10

Question 3c -

Which of the followng are true about the effect of win strata on average attendance? Select ALL that apply.

• Across all win strata, runs per game are positively correlated with average attendance.
• Runs per game have the strongest effect on attendance when a team wins many games.
• After controlling for number of wins, home runs per game are not correlated with attendance.
• Home runs per game have the strongest effect on attendance when a team does not win many games.
• Among teams with similar numbers of wins, teams with more home runs per game have larger average attendance.

Question 4 -

Fit a multivariate regression determining the effects of runs per game, home runs per game, wins, and year on average attendance. Use the originalTeams_smallwins column, not the win strata from question 3.

What is the estimate of the effect of runs per game on average attendance?

What is the estimate of the effect of home runs per game on average attendance?

What is the estimate of the effect of number of wins in a season on average attendance?

Question 5 -

Use the multivariate regression model from Question 4. Suppose a team averaged 5 runs per game, 1.2 home runs per game, and won 80 games in a season.

What would this team's average attendance be in 2002?

What would this team's average attendance be in 1960?

Question 6 -

Use your model from Question 4 to predict average attendance for teams in 2002 in the originalTeamsdata frame. What is the correlation between the predicted attendance and actual attendance?