The SAS System 1 21:11 Wednesday, August 1, 2001 OBS Y X 1 3.1 5.5 2 2.3 4.8 3 3.0 4.7 4 1.9 3.9 5 2.5 4.5 6 3.7 6.2 7 3.4 6.0 8 2.6 5.2 9 2.8 4.7 10 1.6 4.3 11 2.0 4.9 12 2.9 5.4 13 2.3 5.0 14 3.2 6.3 15 1.8 4.6 16 1.4 4.3 17 2.0 5.0 18 3.8 5.9 19 2.2 4.1 20 1.5 4.7 The SAS System 2 21:11 Wednesday, August 1, 2001 Model: MODEL1 Dependent Variable: Y GPA at the end of the freshman year Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 6.43373 6.43373 33.998 0.0001 Error 18 3.40627 0.18924 C Total 19 9.84000 Root MSE 0.43501 R-square 0.6538 Dep Mean 2.50000 Adj R-sq 0.6346 C.V. 17.40057 Parameter Estimates Parameter Standard T for H0: Variable DF Estimate Error Parameter=0 Prob > |T| INTERCEP 1 -1.699561 0.72677682 -2.338 0.0311 X 1 0.839912 0.14404759 5.831 0.0001 Variable Variable DF Label INTERCEP 1 Intercept X 1 Entrance test score The SAS System 3 21:11 Wednesday, August 1, 2001 Plot of Y*X. Legend: A = 1 obs, B = 2 obs, etc. 3.8 + A | 3.7 + A | 3.6 + | 3.5 + G | P 3.4 + A A | 3.3 + a | t 3.2 + A | t 3.1 + A h | e 3.0 + A | e 2.9 + A n | d 2.8 + A | o 2.7 + f | 2.6 + A t | h 2.5 + A e | 2.4 + f | r 2.3 + A A e | s 2.2 + A h | m 2.1 + a | n 2.0 + A A | y 1.9 + A e | a 1.8 + A r | 1.7 + | 1.6 + A | 1.5 + A | 1.4 + A -+-----------+-----------+-----------+-----------+-----------+-----------+ 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Entrance test score