The multiple regression of Salary on Years, Group, and the Years * Group interaction (Table 25.5) reproduces the fits of the two simple regressions of Salary on Years for male and female managers. What€™s the relationship between the residuals of this multiple regression and those of the two simple regressions?

Table 25.5

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Estimate 130.989 1.176 4.611 t-Statistic 37.53 2.89 Term Intercept Std Error 3.490 0.408 p-Value <.0001 0.0044 Years Group 0.3066 4.497 1.03 Group X Ycars 0.462 0.3709 -0.90 -0.415