City Slug Pct. Elevation Anaheim .480 160 Arlington .605 616 Atlanta .530 1,050 Baltimore .505 130 Boston .505 20 . . . . . . Denver 625 5,277 . . . . . . . . Seattle .550 350 San Francisco .510 63 St. Louis .570 465 Tampa .500 10 Toronto .535 56611.65 Refer to the Chance (Winter 2006) investigation of the effects of elevation on slugging percentage in Major League Baseball. 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 below.) Consider a straight-line model relating slugging percentage (y) to elevation (x). a. Is there sufficient evidence (at d=.01) of a positive linear relationship between elevation (x) and slugging percentage (y)?. b. Construct a scatterplot 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. 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 Denvercalled the \"mile-high\" city due to its elevation. Remove the data point for Denver from the data set and ret the straight-line model to the remaining data. What conclusions can you draw about the "thin air\" theory from this analysis?"