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, presented in Exercise.
Ranking driving performance of professional golfers. A group of Northeastern University 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 the top 40 PGA golfers (ranked by the new method) are saved in the PGADRIVER file. The first five and last five observations are listed in the accompanying 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 |
Based on Frederick Wiseman, Ph.D., Mohamed Habibullah, Ph.D., and Mustafa Yilmaz, Ph.D, Sports Journal, Vol. 10, No. 1, Winter 2007 (Table).
a. Find the mean, median, and mode for the 40 driving performance index values.
b. Interpret each of the measures of central tendency calculated in part a.
c. Use the results from part a to make a statement about the type of skewness in the distribution of driving performance indexes. Support your statement with a graph.
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 PGADRIVER 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 diving distance ( x ).
b. Use simple linear regression to fit the model you found in part a to the data. 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,
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 taken above. Recall that the method uses both the average driving distance (in yards) and the 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 PGADRIVER 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 reasonable? Explain.
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 whether the golfer’s concern is a valid one? Explain.
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