Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 11.4, Problem 11.63ACA
Does elevation impact hitting performance in baseball? Refer to the Chance (Winter 2006) investigation of the effects of elevation on slugging percentage in Major League Baseball, Exercise 2.127 (p. 108). 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 right.) 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
c. You learned in Exercise 2.127 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?
Selected data for Exercise 11.63
| City | Slug Pet. | 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 | 566 |
| Source: Based on Schaffer J. & Heiny, E.L “The effsets of elevation on slugging percentage in Msjor League Basecafr” Chance. Vol. 19 No. 1 Winter2006 (adapted from Figure 2, p 30) | ||
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Chapter 11 Solutions
Statistics for Business and Economics (13th Edition)
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Refer to the...Ch. 11.4 - Prob. 11.62ACACh. 11.4 - Does elevation impact hitting performance in...Ch. 11.5 - Explain what each of the following sample...Ch. 11.5 - Describe the slope of the least squares line if a....Ch. 11.5 - Construct a scatterplot for each data set. Then...Ch. 11.5 - Calculate r2 for the least squares line in each of...Ch. 11.5 - Use the applet Correlation by Eye to explore the...Ch. 11.5 - In business, do nice guys finish first or last?...Ch. 11.5 - Going for it on fourth-down in the NFL Each week...Ch. 11.5 - Lobster fishing study. Refer to the Bulletin of...Ch. 11.5 - RateMyProfessors.com. A popular Web site among...Ch. 11.5 - Last name and acquisition timing. Refer to the...Ch. 11.5 - Women in top management. 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