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Using the sat data (In the R package "Faraway"):
(a) Fit a model with total sat score as the response and expend, ratio and salary as predictors.
(b) Test the hypothesis that H0 : ßsalary = 0.
(c) Test the hypothesis that H0 : ßsalary = ßratio = ßexpend = 0. Do any of these predictprs have an effect on the response?
(d) Now add takers to the model. Test the hypothesis that H0 : ßtakers = 0.Compare this model with the previous one using an F-test. Demonstrate that theF-test and t-test here are equivalent.
Library("faraway")
data(sat)
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