10-2 Regression 541 11. Effects of an Outlier Refer to the Minitab-generated scatterplot given in Exercise 9 of Section 10-1 on page 525. a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates 110, 102, use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). 12. Effects of Clusters Refer to the Minitab-generated scatterplot given in Exercise 10 of Section 10-1 on page 525. a. Using the pairs of values for all 8 points, find the equation of the regression line. b. Using only the pairs of values for the 4 points in the lower left corner, find the equation of the regression line. c. Using only the pairs of values for the 4 points in the upper right corner, find the equation of the regression line. d. Compare the results from parts (a), (b), and (c). Regression and Predictions. Exercises 13–28 use the same data sets as Exercises 13–28 in Section 10-1. (a) Find the regression equation, letting the first variable be the predictor (x) variable. (b) Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 533. 13. Powerball Jackpots and Tickets Sold Listed below are the same data from Table 10-1 in the Chapter Problem, but an additional pair of values has been added in the last column. (Jackpot amounts are in millions of dollars, ticket sales are in millions.) Find the best predicted number of tickets sold when the jackpot was actually 625 million dollars. How does the result compare to the value of 90 million tickets that were actually sold? Jackpot 334 127 300 227 202 180 164 145 255 400 Tickets 54 16 41 27 23 18 18 16 26 17 14. Powerball Jackpots and Tickets Sold Listed below are the same data from Table 10-1 in the Chapter Problem, but an additional pair of values has been added from actual Powerball results. (Jackpot amounts are in millions of dollars, ticket sales are in millions.) Find the best predicted number of tickets sold when the jackpot was actually 345 million dollars. How does the result compare to the value of 55 million tickets that were actually sold? Jackpot 334 127 300 227 202 180 164 145 255 625 Tickets 54 16 41 27 23 18 18 16 26 90 15. Taxis Use the time>tip data from the table below, which includes data from New York City taxi rides (from Data Set 32 “Taxis” in Appendix B). (The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars.) Find the best predicted tip for a ride that takes 20 minutes. How does the result compare to the actual tip amount of $4.55? Distance 0.68 2.47 8.51 12.71 1.65 1.02 1.32 0.49 Time 6.00 18.00 31.00 27.00 11.00 8.00 8.00 2.00 Fare 6.30 14.30 31.75 36.80 9.80 7.80 7.80 4.80 Tip 1.89 4.29 2.98 0.00 1.96 2.34 0.00 0.00 10. x 10813911146 4 12 7 5 y 7.46 6.77 12.74 7.11 7.81 8.84 6.08 5.39 8.15 6.42 5.73
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