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. 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.
Exercise 11.21
Refer to The Sport Journal (Winter 2007) study of a new method for ranking the total driving performance of golfers on the Professional Golf Association (PGA) tour, Exercise 2.50. Recall that the method computes a driving performance index based on a golfer's average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). Data for the top 40 PGA golfers (as ranked by the new method) are saved in the file. (The first five and last five observations are listed in the table.

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Driving Driving Driving Distance Accuracy Performance Index (yards) 316.1 304.7 (%) 54.6 63.4 579 56.6 68.5 Rank Player 3.58 3.48 3.27 3.18 282 1 Woods 2 Perry 3 Gutschewski 3105 4 Wetterich 5 Hearn 311.7 295.2 36 Senden 37 Mickelson 38 Watney 39 Trahan 40 Pappas 291 300 298.9 295.8 309.4 58.7 59.4 61.8 50.6 1.31 1.30 1.26 1.23 1.17