Refer to the Chance (Winter 2006) investigation of the effects of elevation on slugging percentage in Major League Baseball, Exercise 2.125. Recall that data were compiled on players' composite slugging percentage at each of 29 cities for a recent season, as well as each city's elevation (feet above sea level). The data are saved in the file. (Selected observations are shown in the table on the following page.) Consider a straight-line model relating slugging percentage (y) to elevation (x).
a. Is there sufficient evidence (at α = .01) of a positive linear relationship between elevation (x) and slugging percentage (y)?

b. Construct a scatter plot for the data and draw the least squares line on the graph. Locate the data point for Denver on the graph. What do you observe?
c. You learned in Exercise 2.125 that the Colorado Rockies, who play their home games in Coors Field, Denver, typically lead the league in team slugging percentage. Many baseball experts attribute this to the "thin air" of Denver-called the "mile-high" city due to its elevation. Remove the data point for Denver from the data set and refit the straight-line model to the remaining data. What conclusions can you draw about the "thin air" theory from this analysis?

Transcribed Image Text:

City Slug Pct. Elevation Anaheim Arlington Atlanta Baltimore Boston -480 .605 530 .505 505 160 616 1,050 130 Denver 625 5,277 350 Seattle San Franciso St. Louis Tampa Toronto 550 510 570 .500 535 465 10 566