Runs scored in baseball
In Chance (Fall 2000), statistician Scott Berry built a multiple regression model for predicting total number of runs scored by a Major League Baseball team during a season. Using data on all teams over a 9-year period (a sample of n = 234), the results in the next table (p. 184) were obtained
(a) Write the least squares prediction equation for y = total number of runs scored by a team in a season.
(b) Conduct a test of H0: β7 = 0 against Ha: β7.
(c) Form a 95% confidence interval for β5. Interpret the results.
(d) Predict the number of runs scored by your favorite Major League Baseball team last year. How close is the predicted value to the actual number of runs scored by your team? (Note: You can find data on your favorite team on the Internet at www.mlb.com.)
