Table shows SAS output for fitting a model using the four scales as predictors of whether a subject drinks alcohol frequently. a. Conduct a model goodness-of-fit test, and interpret. If you were to...

Table shows SAS output for fitting a model using the four scales as predictors of whether a subject drinks alcohol frequently.

a. Conduct a model goodness-of-fit test, and interpret. If you were to simplify the model by removing a predictor, which would you remove? Why?

b. Software reports AIC values of 642.1 for the model with the four main effects and the six interaction terms, 637.5 for the model with only the four binary main effect terms, and 648.8 for the model with no predictors. According to this criterion, which model is preferred? Explain the rational for using AIC.

c. Using the MBTI data file at the website www.stat.ufl.edu/~aa/intro-cda/data, use model-building methods to select a model for this alcohol response variable.