Suppose the true regression line relating the variables x and y, for values of x between 100 and 200, is y = 75.0 + 3.6x.
a. Find the expected value of Y when x = 150, E(Y | 150).
b. How much change in the dependent variable is expected when x increases by one unit? Justify your answer.
c. Suppose s 5 6. Find the probability that an observed value of Y is less than 500 when x = 120.