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A group of researchers developed a new method for ranking the total driving performance of golfers on a tour. The method requires knowing a golfer's average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). They construct a straight-line model relating driving accuracy (y) to driving distance (x). A MINITAB printout with prediction and confidence intervals for a driving distance of x equals 300 is shown below.
Minitab Output
Predicted values for new observations
| New observation | Fit | SE Fit | 95% CI | 95% PI |
|---|---|---|---|---|
| 1 | 61.303 | 0.358 | (60.578, 62.028) | (56.717, 65.889) |
I will appreciate assistance in the following questions.
- Locate the 95% prediction interval for driving accuracy (y) on the printout, and give a practical interpretation of the result.
- Locate the 95% confidence interval for mean driving accuracy (y) on the printout, and give a practical interpretation of the result.
- Give a practical interpretation of the result. Choose the correct answer below.
- If you are interested in knowing the average driving accuracy of all golfers who have a driving distance of 300 yards, which of the intervals is relevant? Explain. Choose the correct answer below.