3. For question 3, use the following R outputs for the four different models. (n

Question

3. For question 3, use the following R outputs for the four different models. (n 97) m0= 1m1(Ipsa~1, data-: prostate) sum(resid (m0) 2) 1 127.9176 model-1 = 1m (1 psa-lcavol+1weight.datasprostate) sum(resid (model1) 2) 52.96626 model-2 = 1m1 (1 psa-lcavol+1weight+svi ,data= prostate) sum(resid (model.2) 2) 47.78486 model .3 = 1m (1 psa. I c a volt. I weight+svi+1bph, data-prostate) sum(resid (model3) 2) 46.4848 model-4 = Im (1 psa-lcavolt. I weight+svit.lbph+1cp.data=prostate) sum(resid (model.4) 2) [1 46.38251 (d) Compare model 2 and 3 using an F-test at = 0.05, was the difference significant? (1 pt

Explanation / Answer

d) Test Statistic F = 47.78486 / 46.4848 = 1.028

Test Statistic, F: 1.0567
Lower Critical F: 0.6637349 at 5% los (94,93) df
Upper Critical F: 1.507319   at 5% los (94,93) df
P-Value: 0.7917

Here P-value > alpha 0.05, so we accept H0

Thus we conclude that there is no significance difference between the variance of two models

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