In a multiple linear regression based on eight observations, the following sample regression is obtained y 22 81 0 85x 1 0 71x 2 with s e 4 69 Also, when x 1 equals 50 and x 2 equals 20, s e (y 0 ) 2 18 a Construct the 95 confidence interval for E(y) if x 1 50 and x 2 20 b Construct the 95 predicti...

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 s_e = 4.69. Also, when x₁ equals 50 and x₂ equals 20, s_e(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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a With df n k 1 8 2 1 5 and 005we find t 2 df t 00255 2571 b c The confidenc...View the full answer

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