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If the analysis of variance F-test leads to the conclusion
Chapter 12, Problem 8E(choose chapter or problem)
If the analysis of variance F-test leads to the conclusion that at least one of the model parameters is nonzero, can you conclude that the model is the best predictor for the dependent variable y? Can you conclude that all of the terms in the model are important for predicting y? What is the appropriate conclusion?
Questions & Answers
QUESTION:
If the analysis of variance F-test leads to the conclusion that at least one of the model parameters is nonzero, can you conclude that the model is the best predictor for the dependent variable y? Can you conclude that all of the terms in the model are important for predicting y? What is the appropriate conclusion?
ANSWER:Step 1 of 3
Conducting t-tests on all of the individual 
testing the global utility of the model because these multiple tests result in a high
probability of making at least one Type I error. Use the F -test for testing the global
utility of the model.
After we have determined that the overall model is useful for predicting y using
the F -test, we may elect to conduct one or more t-tests on the individual