A manager at a local bank analyzed the relationship between

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender (0 = female, 1 = male) and job type (0 = clerical, 1 = technical). The following ANOVA summarizes the regression results:

ANOVA

df SS MS F

Regression 3 10,057,203.600 3,352,401.200 8.68

Residual 26 10,036,778.000 386,029.92308

Total 29 20,093,981.600

Based on the ANOVA, the multiple coefficient of determination is

49.95%

50.05%

cannot be computed

10.02%

Solution

R^2 = SST - SSR / SST

SSR = Sum of square due to regression = 10,057,203.600

SST = Sum of square total = 20,093,981.600

R^2 = ( 20,093,981.600 - 10,057,203.600) / 20,093,981.600 = 0.4995 = 49.95%