A regression analysis was performed to determine which, if any, of protein (gram

Question

A regression analysis was performed to determine which, if any, of protein (grams), total fat (grams), fiber (grams), carbohydrates (grams), and sugars (grams) are associated with calories in a sample of 34 breakfast cereals. Which of the following is the null hypothesis for the F-test in this problem? Choose the correct answer below. O A. O B. ° C. 0 D. All of protein, total fat, fiber, carbohydrates, or sugars help to explain calories in breakfast cereals. Exactly one of protein, total fat, fiber, carbohydrates, or sugars helps to explain calories in breakfast cereals. At least one of protein, total fat, fiber, carbohydrates, or sugars helps to explain calories in breakfast cereals None of protein, total fat, fiber, carbohydrates, or sugars helps to explain calories in breakfast cereals.

Explanation / Answer

For a multiple regression model with intercept, we want to test the following null hypothesis and alternative hypothesis:

H0: 1 = 2 = ... = p-1 = 0

H1: j 0, for at least one value of j

This test is known as the overall F-test for regression.

Hence answer is D. None of protein, total fat, fiber, carbohydrates or sugar helps to explain calories in breakfast cereals.

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