1.Write a short answer to each of the following:

(a)Briefly explain the steps needed for a completely randomized experimental design in Analysis of Variance. Give a real world example to clarify. Use at least 8 sentences to answer this question.

(b)What is multiple regression analysis? What are the differences between the simple linear regression analysis and multiple regression analysis? Give a real world example to clarify. Use at least 8 sentences to answer this question.

(c)Briefly explain the coefficient of correlation in simple linear regression analysis. What values can it take and what is the interpretation of these values. Give a real world example where using the coefficient of correlation is useful. Use at least 8 sentences to answer this question.

(d)What are the interpretations of Y-intercept b₀and the slope b₁of a regression equation? How do they differ from ₀and ₁? Why, in some cases, the interpretation of b₀is nonsensical?