Question: Write a short answer to each of the following:

(a) What are the interpretation of Y-intercept b₀ and the slope b₁ of a regression equation? How do they differ from β₀ and β₁? Why, in some cases, the interpretation of b₀ is nonsensical?

(b) Why do we use an upper tail F test in ANOVA even though the hypothesis being tested is two tailed?

(c) What is the coefficient of multiple determination? What are its properties? What are the differences between the coefficient of multiple determination and the adjusted coefficient of multiple determination?

(d) Which are the possible tests that may be used to make inferences about the slope of a simple linear regression line? Briefly explain each of these tests.

(e) What are the different sources of variation in ANOVA? Explain each type. Give an example to clarify.