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6. The partial MegaStat output below is regression analysis of the relationship between annual payroll and number of wins in a season for 28 teams

6. The partial MegaStat output below is regression analysis of the relationship between annual payroll and number of wins in a season for 28 teams in professional sports. The purpose of the analysis is to predict the number of wins when given an annual payroll in $millions. Although technically not a sample, the baseball data below will be treated as a convenience sample of all major league professional sports.

Wins Payroll($mil)
85 26.914 Regression Analysis
80 36.609
71 27.23 r2
94 34.568 Adjusted r2
76 15.718 r
85 36.548 Std. Error
84 39.803 28 observations
69 22.949 1 Predictor variable
71 27.285 Wins dependent variable
88 40.405
68 35.565 ANOVA table
82 31.461 Source SS df MS F
86 35.605 Regression 361.0159
95 45.748 Residual 3,626.98
104 38.131 Total 3,988.00
84 38.303
73 42.851
67 8.829 Regression output
64 18.197 variables coefficients std. error t p-value 95% upper
85 28.855 intercept 68.8291
81 37.833 payroll 0.3979 0.2473 0.9063
94 14.881
59 38.35
97 26.812
75 24.241
87 22.615
61 25.557
103 34.568

How many degrees of freedom for Residual (Error)?

Multiple Choice

1

2

26

27

28

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