The National Football League (NFL) is arguably the most successful professional sports league in the United States. Following the recent season, the commissioner’s office staff performed an analysis in which a simple linear regression model was developed with average home attendance used as the dependent variable and the total number of games won during the season as the independent variable. The staff was interested in determining whether games won could be used as a predictor for average attendance. Develop the simple linear regression model. The data are in the file called NFL.
a. What percentage of total variation in average home attendance is explained by knowing the number of games the team won?
b. What is the standard error of the estimate for this regression model?
c. Using α = 0.05, test to determine whether the regression slope coefficient is significantly different from 0.
d. After examining the regression analysis results, what should the NFL staff conclude about how the average attendance is related to the number of games the team won?