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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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