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 1 shows the first round score and final score for a random sample of 20 golfers who made the cut in a recent Masters tournament. The data are also stored in MastersGolf. First -4 -4 -1 -5 -4 -4 0 -1 -3 -1 0 1 -1 0 -1 4 3 4 -1 7 Final -12 -8 -7 -7 -5 -5 -3 -2 -2 -1 -1 -1 0 3 4 4 6 6 8 10 Table 1 Golf scores after the first and final rounds of the Masters Computer output for a regression model to predict the final score from the first-round score is shown: 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 T P Constant 0.1617 0.8173 0.20 0.845 First 1.4758 0.2618 5.64 0.000 S=3.59805 R-Sq=63.8% R-Sq(adj)=61.8% Analysis of Variance Source DF SS MS F P Regression 1 411.52 411.52 31.79 0.000 Residual Error 18 233.03 12.95 Total 19 644.55 a)Find a 99.8% 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 99.8% interval to predict the four round score of a golfer who shoots a -4 in the first round at the Masters. c) Find a 99.8% interval to predict the average four round score of all golfers who shoot a +3 in the first round at the Masters.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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 1 shows the first round score and final score for a random sample of 20 golfers who made the cut in a recent Masters tournament. The data are also stored in MastersGolf.

First	-4	-4	-1	-5	-4	-4	0	-1	-3	-1	0	1	-1	0	-1	4	3	4	-1	7
Final	-12	-8	-7	-7	-5	-5	-3	-2	-2	-1	-1	-1	0	3	4	4	6	6	8	10

Table 1 Golf scores after the first and final rounds of the Masters

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

Variable	N	Mean	StDev
First	20	-0.550	3.154
Final	20	-0.65	5.82
-------------------------

Predictor	Coef	SE Coef	T	P
The regression equation is Final=0.162+1.48⁢ First
Constant	0.1617	0.8173	0.20	0.845
First	1.4758	0.2618	5.64	0.000

S=3.59805

R-Sq=63.8%

R-Sq(adj)=61.8%

Source	DF	SS	MS	F	P
Analysis of Variance
Regression	1	411.52	411.52	31.79	0.000
Residual Error	18	233.03	12.95
Total	19	644.55

a)Find a 99.8% 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 99.8% interval to predict the four round score of a golfer who shoots a -4 in the first round at the Masters.

c) Find a 99.8% interval to predict the average four round score of all golfers who shoot a +3 in the first round at the Masters.

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