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.

For Information: 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.
a. Write the equation of a straight-line model relating driving accuracy (y) to driving distance (x).
b. Fit the model, part a, to the data using simple linear regression. Give the least squares prediction equation.
c. Interpret the estimated y-intercept of the line.
d. Interpret the estimated slope of the line.
e. In Exercise 2.132, you were informed that a professional golfer, practicing a new swing to increase his average driving distance, is concerned that his driving accuracy will be lower. Which of the two estimates, y-intercept or slope, will help you determine if the golfer's concern is a valid one? Explain.

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