solution

Ranking driving performance of professional golfers. Refer to The Sport Journal (Winter 2007) study of a method for ranking the total driving performance of golfers on the Professional Golf Association (PGA) tour, Exercise 2.52 (p. 97). 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.)

a. Write the equation of a straight-line model relating driving accuracy (y) to driving distance ().

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 2.134 (p. 133), 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.

 

Exercise 2.52

Ranking driving performance of professional golfers. A group of researchers developed a new method for ranking the total driving performance of golfers on the Professional Golf Association (PGA) tour (The Sport Journal, Winter 2007). The method requires knowing a golfer’s average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). The values of these two variables are used to compute a driving performance index. Data for 40 PGA golfers (as ranked by the new method for a recent tour year) are saved in the accompanying file. The first five and last five observations are listed in the table below.

a. Find the mean, median, and mode for the 40 driving performance index values.
b. Interpret each of the measures of central tendency, part a.
c. Use the results, part a, to make a statement about the type of skewness in the distribution of driving performance indexes. Support your statement with a graph.

Exercise 2.134

Ranking driving performance of professional golfers. Refer to The Sport Journal (Winter 2007) analysis of a new method for ranking the total driving performance of golfers on the PGA tour, Exercise 2.52 (p. 97). Recall that the method uses both the average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). Data on these two variables for the top 40 PGA golfers are saved in the accompanying file. A professional golfer is practicing a new swing to increase his average driving distance. However, he is concerned that his driving accuracy will be lower. Is his concern a valid one? Explain.

Exercise 2.52

Ranking driving performance of professional golfers. A group of researchers developed a new method for ranking the total driving performance of golfers on the Professional Golf Association (PGA) tour (The Sport Journal, Winter 2007). The method requires knowing a golfer’s average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). The values of these two variables are used to compute a driving performance index. Data for 40 PGA golfers (as ranked by the new method for a recent tour year) are saved in the accompanying file. The first five and last five observations are listed in the table below.

a. Find the mean, median, and mode for the 40 driving performance index values.
b. Interpret each of the measures of central tendency, part a.
c. Use the results, part a, to make a statement about the type of skewness in the distribution of driving performance indexes. Support your statement with a graph.