In a professional golf tournament the players participate in four rounds of golf and the player with the lowest score after all four rounds is the champion. How well does a player€™s performance in the first round of the tournament predict the final score? Table 9.6 shows the first round score and final score for a random sample of 20 golfers who made the cut in the 2011 Masters tournament. The data are also stored in MastersGolf.

Table 9.6

Computer output for a regression model to predict the final score from the first-round score is shown:

Use values from this output to calculate and interpret the following. Show your work.
(a) Find a 95% interval to predict the average four round score of all golfers who shoot a 0 on the first round at the Masters.
(b) Find a 95% interval to predict the four round score of a golfer who shoots a ˆ’5 in the first round at the Masters.
(c) Find a 95% interval to predict the average four round score of all golfers who shoot a +3 in the first round at the Masters.

Transcribed Image Text:

First Final -1 -5 -4 -4 0 -1 -3 -1 0 1 -1 0 -1 3 -4 -12 4 4 -1 7 8 -8 -7 -7 -5 -s -3 -2 -2 -i -1 -1 0 4 6. 4 6. 10 Variable N Mean StDev First 20 -0.550 3.154 Final 20 -0.65 5.82 The regression equation is Final = 0.162 + 1.48 First Predictor Coef SE Coef 0.1617 1.4758 Constant 0.8173 0.20 0.845 First 0.2618 5.64 0.000 S= 3.59805 R-Sq = 63.8% R-Sqladj) = 61.8% Analysis of Variance DF Source MS Regression 411.52 411.52 31.79 0.000 Residual Error 18 233.03 12.95 Total 19 644.55