Question: Consider the following linear regression model where 0 = 4, 1 3, and the normal random variable e has the standard deviation 4.

Consider the following linear regression model

where β₀= 4, β₁ 3, and the normal random variable e has the standard deviation 4.
(a) What is the mean of the response Y when x = 4? When x = 5?
(b) Will the response at x = 5 always be larger than that at x = 4? Explain.

Y = B + Bx + e Bo

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