In a multiple linear regression based on eight observations, the following sample regression is obtained: y =

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In a multiple linear regression based on eight observations, the following sample regression is obtained: ŷ = 22.81 + 0.85x1 - 0.71x2 with se = 4.69. Also, when x1 equals 50 and x2 equals 20,  se(ŷ0) = 2.18.

a. Construct the 95% confidence interval for E(y) if x1 = 50 and x2 = 20.

b. Construct the 95% prediction interval for y if x1 = 50 and x2 = 20.

c. Which interval is narrower? Explain.

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