Suppose the true regression line relating the variables x and y, for values of x between 25 and 35, is y = 235.1 - 7.2x.
a. Find the expected value of Y when x = 27.4.
b. How much change in the dependent variable is expected when x decreases by 5 units? Justify your answer.
c. Suppose σ = 1.5. Find the probability that an observed value of Y is between 2250 and 2252 when x = 30.