Consider a simple linear model for the number of hours of exercise students get (per week) based on the number of hours spent watching TV. Use the data in ExerciseHours to fit this model. Test the effectiveness of the TV predictor three different ways as requested below, giving hypotheses, test statistic, p-value, and a conclusion for each test.
(a) Use a t-test for the coefficient of TV.
(b) Use an ANOVA to test the effectiveness of the model.
(c) Use a t-test for the correlation between TV and Exercise.
(d) Compare the results for these three tests.