12.67 A business school dean wanted to assess the importance of factors that might help in predicting success in law school. For a random sample of 50 students, data were obtained when students graduated from law school, and the following model was fitted:

y = a + b1x1 + b2x2 + b3x3 + e where y = score reflecting overall performance while in law school x1 = undergraduate grade point average x2 = score on GMAT x3 = dummy variable taking the value 1 if a student’s letters of recommendation are unusually strong and 0 otherwise Use the portion of the computer output from the estimated regression shown here to write a report summarizing the findings of this study.

Source DF Sum of Squares Mean Square F

Value RSquare Model 3 641.04 212.68 8.48 0.356 Error 46 1,159.66 25.21 Total 49 1,800.70 Parameter Estimate t for H0 :

bj = 0 Std. Error of Estimate Intercept 6.512 X1 3.502 1.45 2.419 X2 0.491 4.59 0.107 X3 10.327 2.45 4.213