Question: Consider the linear regression model y = 0 + 1 x + e where 0 = -2, 1 = -1, and

Consider the linear regression model

y = β₀ + β₁x + e

where β₀ = -2, β₁ = -1, and the normal random variable e has standard deviation 3.
(a) What is the mean of the response Y when x = 3? When X = 5?
(b) Will the response at x = 3 always be larger than that at x = 5? Explain.

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