Question

In: Statistics and Probability

A sample of 16 Triple-A minor league baseball teams were selected for statistical analysis. The following...

A sample of 16 Triple-A minor league baseball teams were selected for statistical analysis. The following data show the average attendance for the 16 teams selected. Also shown are the teams’ records; W denotes the number of games won, L denotes the number of games lost, and PCT is the proportion of games played that were won.  Additionally, each teams’ major league association was given. The data are contained in the file named AAA.

Team Name

League

W

L

PCT

Attendance

Buffalo Bisons

American

66

77

0.462

8812

Lehigh Valley IronPigs

National

55

89

0.382

8479

Pawtucket Red Sox

American

85

58

0.594

9097

Rochester Red Wings

American

74

70

0.514

6913

Scranton-Wilkes Barre Yankees

American

88

56

0.611

7147

Reno Aces

National

80

62

0.563

5765

Charlotte Knights

American

63

78

0.447

4526

Durham Bulls

American

74

70

0.514

6995

Nashville Sounds

American

72

68

0.514

8823

Norfolk Tides

American

64

78

0.451

6286

Richmond Braves

National

63

78

0.447

4455

Columbus Clippers

American

69

73

0.486

7795

Indianapolis Indians

National

68

76

0.472

8538

Louisville Bats

National

88

56

0.611

9152

Toledo Mud Hens

American

75

69

0.521

8234

  1. Report your results in a summary
    1. Introduction:  In your own words, briefly discuss the motivation of this research (why would a study on credit card charges be of interest?).
    2. Graph and Summary statistics:  present a graph that summarizes the data along with a table of summary statistics for each variable in the data set.  An interpretation must accompany any graph, chart, or table that you use.
    3. Methods:  
      1. Develop estimated regression equations, first using attendance as the dependent variable and then using number of wins as the independent variable. Discuss your findings.
      2. Develop an estimated regression equation with attendance as dependent variable and both league and wins as the independent variables.  Discuss your findings.
      3. What is the predicted attendance for an America league AAA team with 72 wins?
  1. Discussion:  Interpret the statistical decision you arrived at in terms that would be useful for sport organizations.  This section should also include suggestions for further research and/or discussion of additional variables that may provide more precise results.  

Solutions

Expert Solution

Only two question answer

Request - Please put each question in a separate post, helps to provide detailed answers.

Develop estimated regression equations, first using attendance as the dependent variable and then using number of wins as the independent variable. Discuss your findings.


Step 1 - Put the data in excel as shown and arrange the variables as shown

Step 2 - Select the regression option from the data analysis tab

Step 3- Input the values as shown below.

Step 4 - The output is generated as follows.

The regression equation ( This equation is obtained from the coefficient of the regression output. Highlighted in green)

Regression equation
Attendance = 4027.64 + 46.68 W

The model explains about 8.4% of the variability in y. (Rsquare highlighted in blue).
From the ANOVA results, we see that the pvalue is greater than 0.05, hence the model is not significant.

Develop an estimated regression equation with attendance as the dependent variable and both league and wins as the independent variables. Discuss your findings
Step 1 - Put the data in excel as shown and arrange the variables as shown

Step 2 - Select the regression option from the data analysis tab

Step 3- Input the values as shown below.

Step 4 - The output is generated as follows.

The regression equation ( This equation is obtained from the coefficient of the regression output. Highlighted in green)

Regression equation
Attendance = -58421.6+ 474.4533 W + 447.10 L

The model explains about 22.23% of the variability in y. (Rsquare highlighted in blue).
From the ANOVA results, we see that the pvalue is greater than 0.05, hence the model is not significant.


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