Question: The data found in https://www.wiley.comicollegthshenfelter contains information from the year-2000 Professional Golfers' Association tour. It includes the players' names, their average score, the average distance they drive the golf ball, the number of greens they "hit in regulation" (i.e., the number of times their ball is on the green in 1 shot for a par three, 2 for a par four, and 3 for a par five), and the number of putts they take per greens hit in regulation.
a. Estimate a model relating score to driving distance, greens in regulation, and putts. How do we interpret these results? Do any of the results look peculiar? Why? What might explain this fact?
b. If we view the error in this equation as "luck," which player is the luckiest? Which is the un-luckiest? Is it appropriate to think of the error as luck? Why or why not?
c. For Corey Pavin (winner of the 1995 U.S. Open) the statistics look like the following for 1995 and 2000:
Using the scoring model, how would you explain Corey's fall from glory?