5. Golf ScoresIn 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 Use values from this output to calculate the following. (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. Round your answers to two decimal places. (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. Round your answers to the nearest integer. (c) Find a 99.8% interval to predict the average four round score of all golfers who shoot a +4 in the first round at the Masters. Round your answers to two decimal places.
5. Golf ScoresIn 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 Use values from this output to calculate the following. (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. Round your answers to two decimal places. (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. Round your answers to the nearest integer. (c) Find a 99.8% interval to predict the average four round score of all golfers who shoot a +4 in the first round at the Masters. Round your answers to two decimal places.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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5. Golf Scores
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:
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Use values from this output to calculate the following.
(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. Round your answers to two decimal places.
(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. Round your answers to the nearest integer.
(c) Find a 99.8% interval to predict the average four round score of all golfers who shoot a +4 in the first round at the Masters. Round your answers to two decimal places.
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