A random sample of 40 PGA golfers was taken. The dataset is in the file PGAdriver.xls. A researcher is trying to predict (driving) accuracy using (driving) distance. 1. Plot Accuracy vs. Distance and describe. 2. Find least squares regression line and interpret slope in the words of the problem. 3. Find the coefficient of determination (R²) and interpret. 4. Find the correlation coefficient (R) and interpret. 5. Find and interpret a 95% Confidence Interval for the true slope.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Here's the data:

Golfer Distance Accuracy Index
Woods 316.1 54.6 3.58
Perry 304.7 63.4 3.48
Gutschewski 310.5 57.9 3.27
Wetterich 311.7 56.6 3.18
Hearn 295.2 68.5 2.82
Gronberg 301.4 63.2 2.74
Frazar 301 63.5 2.74
Warren 299.2 64.2 2.55
Glover 302.2 60.7 2.27
MacKenzie 300.2 62.1 2.22
Love III 305.4 57.9 2.21
Garcia 303.5 59.4 2.21
Durant 289.2 70.9 2.2
O'Hair 300.1 61.4 2.02
Singh 301.1 60.2 1.92
Long 298.3 62.4 1.9
Smith 300.8 60.2 1.85
Hend 318.9 45.4 1.89
Hughes 291.3 67.5 1.76
Stadler 300.1 60.4 1.76
Allenby 297.7 62.3 1.75
Mayfair 288.2 69.8 1.71
Appleby 300.6 59.3 1.58
Snyder III 291.8 66.3 1.56
Purdy 295.2 63.4 1.52
Brigman 295.5 63.1 1.5
Bryant 283.2 73 1.49
Rollins 294.4 63.7 1.43
Jobe 302.3 57.3 1.42
Brehaut 286.6 69.9 1.4
Ogilvy 298 60.7 1.4
Henry 297.6 61 1.4
Rose 294.1 63.7 1.37
Westwood 296.8 61.5 1.36
Johnson 290 66.9 1.34
Senden 291 66 1.31
Mickelson 300 58.7 1.3
Watney 298.9 59.4 1.26
Trahan 295.8 61.8 1.23
Pappas 309.4 50.6 1.17
A random sample of 40 PGA golfers was taken. The dataset is in the file PGAdriver.xls. A
researcher is trying to predict (driving) accuracy using (driving) distance.
1. Plot Accuracy vs. Distance and describe.
2. Find least squares regression line and interpret slope in the words of the problem.
3. Find the coefficient of determination (R?) and interpret.
4. Find the correlation coefficient (R) and interpret.
5. Find and interpret a 95% Confidence Interval for the true slope.
6. Find the predicted values for Perry, Stadler and Trahan.
7. Find the residuals values for Perry, Stadler and Trahan
8. Graph the standardized residuals vs. predicted values (x-axis). Describe and comment.
9. Graph the predicted values vs. the actual accuracy values (x-axis). Describe and
comment.
10. Make a normal probability plot of the standardized residuals. Describe and comment.
Submit the answers to the questions in a Word or pdf report file.
Round answers to the thousandths place where applicable.
All graphs and answers must be in the report file!
Transcribed Image Text:A random sample of 40 PGA golfers was taken. The dataset is in the file PGAdriver.xls. A researcher is trying to predict (driving) accuracy using (driving) distance. 1. Plot Accuracy vs. Distance and describe. 2. Find least squares regression line and interpret slope in the words of the problem. 3. Find the coefficient of determination (R?) and interpret. 4. Find the correlation coefficient (R) and interpret. 5. Find and interpret a 95% Confidence Interval for the true slope. 6. Find the predicted values for Perry, Stadler and Trahan. 7. Find the residuals values for Perry, Stadler and Trahan 8. Graph the standardized residuals vs. predicted values (x-axis). Describe and comment. 9. Graph the predicted values vs. the actual accuracy values (x-axis). Describe and comment. 10. Make a normal probability plot of the standardized residuals. Describe and comment. Submit the answers to the questions in a Word or pdf report file. Round answers to the thousandths place where applicable. All graphs and answers must be in the report file!
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