The original data for the putting success of professional golfers included values beyond those we used in Exercise 22 (5 feet to 15 feet), in both directions. At a distance of 2 feet, 93.3% of the putts were successful. At a distance of 20 feet, 15.8% of the putts were successful.
a. Use the equation in Exercise 22 to predict success rates for those two distances (2 feet and 20 feet). Compare the predictions to the actual success rates.
b. Use your results from part (a) to explain why it is not a good idea to use a regression equation to predict information beyond the range of values from which the equation was determined.
c. Based on the picture in Figure 10.4 and the additional information in this exercise, draw a picture of what you think the relationship be­tween putting distance and success rate would look like for the entire range from 2 feet to 20 feet.
d. Explain why a regression equation should not be formulated for the entire range from 2 feet to 20 feet.