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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Ranking driving performance of professional

Chapter 11, Problem 86E

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QUESTION:

Ranking driving performance of professional golfers. Refer to The Sport Journal (Winter 2007) study of a new method for ranking the total driving performance of golfers on the PGA tour, Exercise 11.21 (p. 616). You fit a straight-line model relating driving accuracy (y) to driving distance (x) to the data saved in the file. Of interest is predicting y and estimating E(y) when x = 300 yards. a. Find and interpret a 95% prediction interval for y. b. Find and interpret a 95% confidence interval for E(y). c. If you are interested in knowing the average driving accuracy of all PGA golfers who have a driving distance of 300 yards, which of the intervals is relevant? Explain.

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QUESTION:

Ranking driving performance of professional golfers. Refer to The Sport Journal (Winter 2007) study of a new method for ranking the total driving performance of golfers on the PGA tour, Exercise 11.21 (p. 616). You fit a straight-line model relating driving accuracy (y) to driving distance (x) to the data saved in the file. Of interest is predicting y and estimating E(y) when x = 300 yards. a. Find and interpret a 95% prediction interval for y. b. Find and interpret a 95% confidence interval for E(y). c. If you are interested in knowing the average driving accuracy of all PGA golfers who have a driving distance of 300 yards, which of the intervals is relevant? Explain.

ANSWER:

Step 1 of 6

A study of a new method for ranking the total driving performance of golfers on the PGA

tour, You fit a straight line model relating driving accuracy (y), to driving distance (x) to the data is shown in the below table:

                                                 

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