The administrator of a new paralegal program at Seagate Technical College wants to estimate the grade point average (GPA) in the new program. He thought that high school GPA, the verbal score on the Scholastic Aptitude Test (SAT), and the mathematics score on the SAT would be good predictors of paralegal GPA. The data on 9 students are: (10 pts)

\fConsidering the following output. ~ . reg paralegalgpa highschoolgpa satverbal satmath Source SS df MS Number of obs = 9 F( 3, 5) = 10.33 Model 4. 3594607 3 1. 45315357 Prob > F = 0.0139 Residual .703628528 5 . 140725706 R-squared = 0.8610 Adj R-squared = 0.7776 Total 5.06308922 8 . 632886153 Root MSE = . 37513 paralegalgpa Coe f. Std. Err. t BoltI [95% Conf. Interval] highschoolgpa 1.201374 .295513 4. 07 0 .010 . 4417341 1. 961015 satverbal . 0016293 . 0021 471 0.76 0 . 482 -. 0038901 - 0071487 satmath -. 0019393 . 0020736 -0.94 0.393 -. 0072697 .003 3912 ConS -. 41 10716 .7823005 -0.53 0 . 622 -2 . 422039 1. 599896. reg paralegalgra highschoolgpa Source SS d MS Number of obs = 9 7) = 34.35 Model 4.2060623 1 4.2060623 Prob > F 0.0006 Residual . 857026927 7 . 122432418 R-squared = 0. 8307 Adj R-squared = 0. 8065 Total 5.06308922 8 . 632886153 Root MSE = . 3499 paralegalgpa Coef. Std. Err. t [95% Conf. Interval] highschoolgpa 1 . 158886 . 1977203 5.86 0.001 . 6913522 1 . 626421 Cons - . 4542376 . 5541665 -0.82 0.439 -1. 764633 . 856158