In a multiple regression with 40 observations, the following sample regression equation is obtained y 12 8 2 6x 1 1 2x 2 with s e 5 84 Also, when x 1 equals 15 and x 2 equals 6, Se (y 0 ) 2 20 a Construct the 95 confidence interval for E(y) if x 1 equals 15 and x 2 equals 6 b Construct the 95 prediction interval for y if x 1 equals 15 and x 2 equals 6 c Which interval is wider Explain

Question: In a multiple regression with 40 observations, the following sample regression equation is obtained: y = 12.8 + 2.6x 1 - 1.2x 2 with s

In a multiple regression with 40 observations, the following sample regression equation is obtained: y̅ = 12.8 + 2.6x₁ - 1.2x₂ with s_e = 5.84. Also, when x₁ equals 15 and x₂ equals 6, Se (y̅⁰) = 2.20.

a. Construct the 95% confidence interval for E(y) if x₁ equals 15 and x₂ equals 6.

b. Construct the 95% prediction interval for y if x₁ equals 15 and x₂ equals 6.

c. Which interval is wider? Explain.

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