Can the performance of professional golf players in the first round of a professional tournament be used to predict how well they will do by the final round? Data was gathered for a random sample of players from the US Masters Tournament over the last 30 years. The US Masters is one of the four major championships in professional golf and is always played at the same golf course (Augusta National Golf Club).

Each round, the players get a score which is the difference between the number of strokes they took and the par score for the course. (In golf, "par" for the course is the number of strokes an expert golfer is expected to need to complete all the holes on a golf course.) So a score of -5 means they took 5 fewer shots than par while a score of 2 means they took 2 more shots than par. Lower values are better.

The twovariables recorded were:

Round1: The players score for the first round of the tournament.

Final: The players final score for the tournament (i.e., the total score for the four rounds).

Assume that linear regression analysis is valid for this data.