Hole in One ~ Shelyce is very interested in professional golf statistics. She obtains data from 2008 for the highest earning professional golfers that year. The data set contains the variables:   1) Drive Accuracy (in percentage): the percentage of time a tee shot comes to rest in the fairway.   2) Drive Distance (in yards): the average distance a golfer hits the golf ball using the driver.   3) Greens in Regulation (in percentage): the percentage of time a ball is on the putting surface after a Greens in Regulation stroke.   Shelyce wants to use linear regression to predict a pro golfer’s Drive Accuracy. The scatter plots and summary statistics below summarize the data for 150 professional golfers in 2008.

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Hole in One ~ Shelyce is very interested in professional golf statistics. She obtains data from 2008 for the highest earning professional golfers that year. The data set contains the variables:

 
1) Drive Accuracy (in percentage): the percentage of time a tee shot comes to rest in the fairway.
 
2) Drive Distance (in yards): the average distance a golfer hits the golf ball using the driver.
 
3) Greens in Regulation (in percentage): the percentage of time a ball is on the putting surface after a Greens in Regulation stroke.
 

Shelyce wants to use linear regression to predict a pro golfer’s Drive Accuracy. The scatter plots and summary statistics below summarize the data for 150 professional golfers in 2008.

Accuracy by Distance
Accuracy by Greens in Regulation
270
280
290
300
310
320
60
65
70
Average drive distance in yards
Greens in Regulation (%)
Variable
Mean
Standard Deviation
Drive Accuracy
63.5787
5.3499
Drive Distance
289.3947
9.0292
Greens in Regulation
65.1947
2.73
The correlation coefficient for Drive Accuracy and Drive Distance is r = -0.5757.
The correlation coefficient for Drive Accuracy and Greens in Regulation is r =
0.3649.
1. Use the summary statistics to find the equation of the regression line for predicting Drive Accuracy from Drive Distance. Remember to use all
decimal places for intermediate calculations. Round final answers to 4 decimal places.
ŷ = 162.2938
+ -0.3411
х.
2. Calculate the R- value for the regression of Drive Accuracy from Drive Distance and complete the sentence below to interpret the R value.
332
% of the variation in Drive Accuracy
can be explained by the linear relationship with
Drive Distance
Drive accuracy (%)
55
65
75
09
Drive accuracy (%)
55
75
09
9
Transcribed Image Text:Accuracy by Distance Accuracy by Greens in Regulation 270 280 290 300 310 320 60 65 70 Average drive distance in yards Greens in Regulation (%) Variable Mean Standard Deviation Drive Accuracy 63.5787 5.3499 Drive Distance 289.3947 9.0292 Greens in Regulation 65.1947 2.73 The correlation coefficient for Drive Accuracy and Drive Distance is r = -0.5757. The correlation coefficient for Drive Accuracy and Greens in Regulation is r = 0.3649. 1. Use the summary statistics to find the equation of the regression line for predicting Drive Accuracy from Drive Distance. Remember to use all decimal places for intermediate calculations. Round final answers to 4 decimal places. ŷ = 162.2938 + -0.3411 х. 2. Calculate the R- value for the regression of Drive Accuracy from Drive Distance and complete the sentence below to interpret the R value. 332 % of the variation in Drive Accuracy can be explained by the linear relationship with Drive Distance Drive accuracy (%) 55 65 75 09 Drive accuracy (%) 55 75 09 9
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