Demonstrating f-test and t-test


Assignment:

Using the sat data:

(a) Fit a model with total sat score as the response and expend, ratio and salary as predictors. Test the hypothesis that βsalary = 0. Test the hypothesis that βsalary  = βratio = βexpend = 0. Do any of these predictors have an effect on the response?

(b) Now add takers to the model. Test the hypothesis that βtakers = 0. Compare this model to the previous one using an F-test. Demonstrate that the F-test and t-test here are equivalent.

Your answer must be typed, double-spaced, Times New Roman font (size 12), one-inch margins on all sides, APA format and also include references.

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Basic Statistics: Demonstrating f-test and t-test
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