Forward selection

Summary of forward selection

Step

Variables entered

Number of variables

R-square

Model C(p)

F-value

Pr>F

1

X1

1

0.4204

1.7060

13.78

0.0015

2

X1, X2

2

0.0468

2.1967

1.58

0.2249

3

X1, X2, X4

3

0.0160

3.6793

0.53

0.4776

4

X1, X2, X4, X3

4

0.0210

5

0.68

0.4219

Under 0.05significant level, the most significant variable isX1, since only X1 with p-value 0.0015 which is smaller than 0.05.

Also, the R2 of X1 is the largest of the above four models.

Conclusion:

The best model we needed is