29. A manager at a local bank analyzed the relationship between monthly salary a

Question

29. A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender (O - female, 1 - male) and job type (0 = clerical, 1-technical). The following ANOVA summarizes the regression results ANOVA Source of Variationdf Sum of Squares Mean SquareF Regression Residual Total 3 26 1461134.596 56197.48445 29 1004346.77 334782.257 5.96 2465481.367 Intercept Service Gender Job Coefficients Standard Error 322.25 3.20 89.00 89.61 784.92 9.19 222.78 -28.21 2.44 2.870.01 2.50 0.02 -0.31 0.76 0.02 Based on the ANOVA, the multiple coefficient of determination is A. 5.957% B. 59.3% C. 40.7% D. Cannot be computed

Explanation / Answer

Coefficient of determination = Sum of Squares ( regression)/ Sum of squares (total )

= 1004346.771/2465481.367* 100%

= 0.407*100% = 40.7%

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