EXAMPLE 13 test for the overall significance of the multiple regression
For the breakfast cereal data, we are interested in determining whether a linear relationship exists between , and and .
Solution
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Step 1 State the hypotheses and the rejection rule. We have variables, so the hypotheses are
Reject if the .
The ANOVA table is a convenient way to organize a set of statistics, which can be used to perform multiple regression as well as ANOVA.
NOW YOU CAN DO
Exercises 21, 22, 27, and 28.