Solution Found!
Answer: Ranking driving performance of professional
Chapter 11, Problem 21E(choose chapter or problem)
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 Professional Golf Association (PGA) tour, Exercise 2.50 (p. 72). 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.)
Rank |
Player |
|
Driving Distance(yards) |
Driving Accuracy(%) |
Driving Performance Index |
1 |
Woods |
|
316.1 |
54.6 |
3.58 |
2 |
Perry |
|
304.7 |
63.4 |
3.48 |
3 |
Gutschewski |
|
310.5 |
57.9 |
3.27 |
4 |
Wetterich |
|
311.7 |
56.6 |
3.18 |
5 |
Hearn |
|
295.2 |
68.5 |
2.82 |
: |
: |
|
: |
: |
: |
36 |
Senden |
|
291 |
66 |
1.31 |
37 |
Mickelson |
|
300 |
58.7 |
1.30 |
38 |
Watney |
|
298.9 |
59.4 |
1.26 |
39 |
Trahan |
|
295.8 |
61.8 |
1.23 |
40 |
Pappas |
|
309.4 |
50.6 |
1.17 |
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 (p. 106), 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.
Questions & Answers
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 Professional Golf Association (PGA) tour, Exercise 2.50 (p. 72). 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.)
Rank |
Player |
|
Driving Distance(yards) |
Driving Accuracy(%) |
Driving Performance Index |
1 |
Woods |
|
316.1 |
54.6 |
3.58 |
2 |
Perry |
|
304.7 |
63.4 |
3.48 |
3 |
Gutschewski |
|
310.5 |
57.9 |
3.27 |
4 |
Wetterich |
|
311.7 |
56.6 |
3.18 |
5 |
Hearn |
|
295.2 |
68.5 |
2.82 |
: |
: |
|
: |
: |
: |
36 |
Senden |
|
291 |
66 |
1.31 |
37 |
Mickelson |
|
300 |
58.7 |
1.30 |
38 |
Watney |
|
298.9 |
59.4 |
1.26 |
39 |
Trahan |
|
295.8 |
61.8 |
1.23 |
40 |
Pappas |
|
309.4 |
50.6 |
1.17 |
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 (p. 106), 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.
ANSWER:Step 1 of 6
a) The equation of a straight-line model relating driving accuracy (y) to driving
distance (x) is \(E(y)=\beta_{0}+\beta_{1} x\)
Where \(\beta_{0}\) is y-intercept and \(\beta_{1}\) is the slope of the straight-line.