Question

b. Quadratics Test (8 points) – Fill in the following information for your test. Hint: You can copy and paste the model from the previous page and make the appropriate changes as an easy way of writing the reduced model that you are testing. Full Model: E(y) = ßo + B1X1 + B2x12 + B3X2 + B4X1X2 + 35x12x2 Reduced Model: Test: Ho: Hai Test Statistic: P-value: Conclusion: Best Subset Regression Models for Rent Forced Independent Variables: (A) Location (B) Size (C) X1X2 Unforced Independent Variables: (D) X1SQ (E)X1SQX2 F P(F) P 4 5 5 6 Ср 3.2 4.4 5.1 6.0 Adjusted AICC R Square Min AICC -0.0329 659.73 -0.0376 661.45 -0.0534 662.21 -0.0506 663.66 Resid ss 2.141E+07 2.104E+07 2.136E+07 2.083E+07 0.79 0.11 0.61 0.3779 0.7466 0.5463 Model Variables А в с A B C E A B C D A B C D E Cases Included 50 Missing Cases 0

Answer 1

Sol:

Full model: 2533.68-0.16*B+0.00002*X1sq+2.02*X1X2-0.00023*X1sqX2-3211.6

Reduced model: 2533.68+0.00002*X1sq

Test:

H0: There is no affect of X1sq.

H1: There is some affect of X1sq.

Test Statistics:

T-calculated=0.99

and P-value= 88.5

Conclusion:

From the p-value we see that it is greater than 0.05 which means we can reject the null hypotesis.

Hence,  There is some affect between of X1sq.

c.

Full model: 2474.18-0.083*B-2638.87*C+1.26*X1X2

Reduced model: 2474.18+1.26*X1X2

Test:

H0: There is no interaction affect between X1 and X2.

H1: There is some interaction affect between X1 and X2.

Test Statistics:

T-calculated=1.33

P-value= 0.18  

Conclusion:

From both the p-values we see that both are greater than 0.05 which means we can reject the null hypotesis.

Hence,There is some interaction affect between X1 and X2.