>Statistics homework help

Problem 4

a. (10) Compute AIC, BIC, and PRESSP to compare the following two models.

· The model on the first order terms for X1 and X2 and the interaction term X1X2. (model 1)

· The model on the first order terms for X1, X2 and X3 (model 2)

Do they all yield the same better model? If not, explain.

 

b. (10) Select the model that you think is better to predict the mean response value, then predict the mean response for the following case, at a confident level of 99%.

 

x1

x2

x3

 

45

36

45

Problem 5

X4 and X5 are two factors on Y.

a. (10) Is there any significant interaction effect between X4 and X5 on Y?

b. (10) With the ANOVA method, compute the 95% confidence interval for the following difference, respectively:

D1= The difference in the mean of Y when (X4=high, X5=less) and (X4=high, X5=more)

D2= The difference in the mean of Y when (X4=low, X5=less) and (X4=low, X5=more)

c. (10) With the ANOVA method, compute the 95% confidence interval for

D1-D2

Where D1 and D2 are described in b.

How is your result related to a?