12.78 A random sample of 93 freshmen at the University of Illinois was asked to rate, on a scale of 1 (low) to 10

(high), their overall opinion of residence hall life. They were also asked to rate their levels of satisfaction with roommates, with the floor, with the hall, and with the resident advisor. (Information on satisfaction with the room itself was obtained, but this was later discarded as it provided no useful additional power in explaining overall opinion.) The following model was estimated:

Y = b0 + b1X1 + b2X2 + b3X3 + b4X4 + e where Y = overall opinion of residence hall X1 = satisfaction with roommates X2 = satisfaction with floor X3 = satisfaction with hall X4 = satisfaction with resident advisor Use the accompanying portion of the computer output from the estimated regression to write a report summarizing the findings of this study.

Dependent Variable: Y Overall Opinion Source DF Sum of Squares Mean Square F Value R-Square Model 4 37.016 9.2540 9.958 0.312 Error 88 81.780 0.9293 Total 92 118.79 Parameter Estimate Student’s t for H0:

Parameter = 0 Std. Error of Estimate Intercept 3.950 5.84 0.676 X1 0.106 1.69 0.063 X2 0.122 1.70 0.072 X3 0.092 1.75 0.053 X4 0.169 2.64 0.064