a. Why do we generally prefer a probabilistic model to a deterministic model? (0.20 marks) b. What is the difference between dependent and independent variables in a probabilistic model? (0.20 marks) c. What is the line of means? (0.20 marks) d. Suppose a straight-line probabilistic relationship relates the mean E(y) to an independent variable x. Does it imply that every value of the variable y will always fall exactly on the line of means? Why or why not? (0.20 marks) c. What are the four assumptions made about the probability distribution of error terms & in the regression model? (0.20 marks)a. Why do we generally prefer a probabilistic model to a deterministic model? (0.20 marks) b. What is the difference between dependent and independent variables in a probabilistic model? (0.20 marks) c. What is the line of means? (0.20 marks) d. Suppose a straight-line probabilistic relationship relates the mean E(y) to an independent variable x. Does it imply that every value of the variable y will always fall exactly on the line of means? Why or why not? (0.20 marks) c. What are the four assumptions made about the probability distribution of error terms & in the regression model? (0.20 marks)