An old saying in golf is "you drive for show and you putt for dough." The point is that good putting is more important than long driving for shooting low scores and hence winning money. To explore the relation between winning, putting, and driving distance, data on the top 69 money winners on the PGA tour in 1993 are used. The average number of putts per hole for each player and their average driving distance is used to predict their total winnings using the multiple regression model
where the deviations εI are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
The F test of the hypotheses H0: β1 = β2 = 0 and Ha: at least one of the βI is not 0 is found to have a P-value less than 0.001. We may conclude
A. both average number of putts per hole and average driving distance are linearly related to 1993 winnings.
B. either average number of putts per hole or average driving distance, but not both, are linearly related to 1993 winnings. Unfortunately, we cannot say which is having the effect.
C. either average number of putts per hole or average driving distance (or both) are linearly related to 1993 winnings.