Question

Problem 5:

Y variable is VIAD.  Two quantitative predictors IQM (X₁) and IQF(X₂).  Categorical variable gender (represent indicators as Z_F and Z_M / one of the categories needs to be suppressed)

1. State the regression model for testing the appropriateness of the ANACOVA model.  

Note: ANACOVA model only appropriate as long as there is no interaction between the quantitative X’s and the categorical variable

VIAD	IQM	IQF	Gender
-10	115	100	Male
-4	112	110	Male
9	106	108	Male
-15	123	135	Male
-15	125	115	Male
5	105	112	Male
-8	115	121	Male
-4	122	132	Male
-1	138	135	Male
13	110	126	Male
8	120	141	Female
-5	130	128	Female
2	110	104	Female
-7	113	98	Female
15	102	106	Female
-10	141	130	Female
-3	120	128	Female
10	113	105	Female
2	114	107	Female
4	102	111	Female

Answer 1

The regression model for testing the appropriateness of the ANCOVA model is:

VIAD = -2.47 + 17.47 IQM_102 + 1.97 IQM_105 + 5.97 IQM_106 + 9.97 IQM_110 - 7.03 IQM_112 + 9.47 IQM_113 + 10.0 IQM_114 - 12.03 IQM_115 + 10.47 IQM_120 - 7.03 IQM_122 - 18.03 IQM_123 - 18.03 IQM_125 + 3.0 IQM_130 - 4.03 IQM_138 - 2.0 IQM_141 - 5.50 Gender_Female + 5.50 Gender_Male