Question
One single excel file. All the section should be addressed in the excel file. Note: this homework weight double The number of victories (W), earned
One single excel file. All the section should be addressed in the excel file. Note: this homework weight double
The number of victories (W), earned run average (ERA), runs scored (R), batting average (AVG), and on-base percentage (OBP) for each team in the American League in the 2012 season are provided in the following table. The ERA is one measure of the effectiveness of the pitching staff, and a lower number is better. The other statistics are measures of effectiveness of the hitters, and higher numbers are better for each of these.
| W (Y) | ERA (x1) | R(x2) | AVG | OBP |
Team 1 | 93 | 3.9 | 712 | 0.247 | 0.311 |
Team 2 | 69 | 4.7 | 734 | 0.26 | 0.315 |
Team 3 | 85 | 4.02 | 748 | 0.255 | 0.318 |
Team 4 | 68 | 4.78 | 667 | 0.251 | 0.324 |
Team 5 | 88 | 3.75 | 726 | 0.268 | 0.335 |
Team 6 | 72 | 4.3 | 676 | 0.265 | 0.317 |
Team 7 | 89 | 4.02 | 767 | 0.274 | 0.332 |
Team 8 | 66 | 4.77 | 701 | 0.26 | 0.325 |
Team 9 | 95 | 3.85 | 804 | 0.265 | 0.337 |
Team 10 | 94 | 3.48 | 713 | 0.238 | 0.31 |
Team 11 | 75 | 3.76 | 619 | 0.234 | 0.296 |
Team 12 | 90 | 3.19 | 697 | 0.24 | 0.317 |
Team 13 | 93 | 3.99 | 808 | 0.273 | 0.334 |
Team 14 | 73 | 4.64 | 716 | 0.245 | 0.309 |
- Develop a regression model that could be used to predict the number of victories based on the ERA.
- Develop a regression model that could be used to predict the number of victories based on the runs scored.
- Develop a regression model that could be used to predict the number of victories based on the batting average.
- Develop a regression model that could be used to predict the number of victories based on the on-base percentage.
- Which of the four models is better for predicting the number of victories?
- Develop a regression model that could be used to predict the number of victories based on the ERA, runs scored, batting average, on-base percentage
- Generate residual plots and Normal probability plot and discuss them
- Discuss the accuracy (r2) of the regression model you developed in section f, and the significance of independent variables (p-value), interpret the sign of coefficients
- Develop a regression model that could be used to predict the number of victories based on the ERA, runs scored, batting average, on-base percentage with confidence level (CI) of 90% and discuss p-values
- Develop a regression model that could be used to predict the number of victories based on the ERA, runs scored with 95% CI and compare it with the developed model in section a, b and f (adjusted r2)
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