REGRESSION EXAMPLE
The CORR Procedure
3 Variables: gpa rank act
Simple Statistics
Variable N Mean Std Dev Sum Min Max
gpa 705 2.97731 0.63453 2099 0.51 4.00
rank 705 76.95319 18.63394 54252 4.00 99.00
act 705 24.54326 4.01364 17303 13.00 35.00
Pearson Correlation Coefficients, N = 705
Prob > |r| under H0: Rho=0
gpa rank act
gpa 1.00000 0.39848 0.36561
<.0001 <.0001
rank 1.00000 0.44251
<.0001
The REG Procedure
Dependent Variable: gpa
Analysis of Variance
Sum of Mean
Source DF Squares Square F Value Pr > F
Model 1 37.88888 37.88888 108.47 <.0001
Error 703 245.55952 0.34930
Corrected Total 704 283.44840
Root MSE 0.59102 R-Square 0.1337
Dependent Mean 2.97731 Adj R-Sq 0.1324
Coeff Var 19.85071
Parameter Estimates
Parameter Standard
Variable DF Estimate Error t Value Pr > |t|
Intercept 1 1.55870 0.13802 11.29 <.0001
act 1 0.05780 0.00555 10.41 <.0001
Dependent Predicted Std Error
Obs Variable Value Mean Predict 95% CL Mean
1 0.9800 2.7608 0.0289 2.7041 2.8176
2 1.1300 3.0729 0.0235 3.0269 3.1190
3 1.2500 2.9372 0.0222 2.8936 2.9808
4 1.3200 3.2222 0.0305 3.1622 3.2822
......
699 3.8580 3.2358 0.0314 3.1742 3.2974
700 3.9330 3.2493 0.0322 3.1861 3.3126
701 3.9560 3.2493 0.0322 3.1861 3.3126
702 4.0000 3.2629 0.0331 3.1979 3.3279
Obs 95% CL Predict Residual StdErrRes StudResid -2 -1 0 1 2
1 1.6160 3.9057 -1.7808 0.582 -3.062 |******| |
2 1.9286 4.2173 -1.9429 0.582 -3.339 |******| |
3 1.7930 4.0815 -1.6872 0.582 -2.899 | *****| |
4 2.0772 4.3672 -1.9022 0.582 -3.271 |******| |
......
699 2.0907 4.3809 0.6222 0.582 1.070 | |** |
700 2.1042 4.3945 0.6837 0.581 1.176 | |** |
701 2.1042 4.3945 0.7067 0.581 1.215 | |** |
702 2.1176 4.4082 0.7371 0.581 1.268 | |** |