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Suppose the true regression equation relating the variables x 1 , x 2 , x 3 , x 4 , and y is y =…


Suppose the true regression equation relating the variables x1, x2, x3, x4, and y is y = 210.7 1 5x1 – 14x2 – 23x3 + 6.7x4.

a. Find the expected value of Y when x1 = 1, x2 = 2, x3 = 2, and x4 = 4.5 3or x = (1, 2, 2, 4.5)4.

b. How much change in the dependent variable is expected when x2 increases by – units and x4 decreases by 5 units?

c. Suppose σ = 24. Find the probability an observed value of Y is between 2460 and 400 when x = (10, 12.5, 15,7)