sol3 - Stat 201A HW3 Solution 1. (a) The estimated...

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Unformatted text preview: Stat 201A HW3 Solution 1. (a) The estimated factorial effects are A B C D A:B A:C A:D B:C 3.0189 3.9759 -3.5962 1.9578 1.9341 -4.0078 0.0765 0.0960 B:D C:D A:B:C A:B:D A:C:D B:C:D A:B:C:D 0.0472 -0.0769 3.1375 0.0980 0.0191 0.0356 0.0141 Effects A, B, C, D, AB, AC, ABC appear to be important because they are relatively large. (b) The regression summary is Estimate Std. Error t value Pr(>|t|) (Intercept) 11.988062 0.050361 238.042 < 2e-16 *** A 1.509438 0.050361 29.972 1.74e-15 *** B 1.987938 0.050361 39.474 < 2e-16 *** C-1.798125 0.050361 -35.705 < 2e-16 *** D 0.978875 0.050361 19.437 1.49e-12 *** A:B 0.967062 0.050361 19.203 1.79e-12 *** A:C-2.003875 0.050361 -39.790 < 2e-16 *** A:D 0.038250 0.050361 0.760 0.459 B:C 0.048000 0.050361 0.953 0.355 B:D 0.023625 0.050361 0.469 0.645 C:D-0.038438 0.050361-0.763 0.456 A:B:C 1.568750 0.050361 31.150 9.49e-16 *** A:B:D 0.049000 0.050361 0.973 0.345 A:C:D 0.009563 0.050361 0.190 0.852 B:C:D 0.017813 0.050361 0.354 0.728 A:B:C:D 0.007062 0.050361 0.140 0.890 Residual standard error: 0.2849 on 16 degrees of freedom Multiple R-Squared: 0.9977,Adjusted R-squared: 0.9956Multiple R-Squared: 0....
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This note was uploaded on 11/24/2010 for the course STAT 201a taught by Professor Wu during the Spring '10 term at Pasadena City College.

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sol3 - Stat 201A HW3 Solution 1. (a) The estimated...

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