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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

  1. Develop a regression model that could be used to predict the number of victories based on the ERA.
  2. Develop a regression model that could be used to predict the number of victories based on the runs scored.
  3. Develop a regression model that could be used to predict the number of victories based on the batting average.
  4. Develop a regression model that could be used to predict the number of victories based on the on-base percentage.
  5. Which of the four models is better for predicting the number of victories?
  6. 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
  7. Generate residual plots and Normal probability plot and discuss them
  8. 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
  9. 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
  10. 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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