In a multiple regression based on 30 observations, the following information is provided: = 469 - 2x₁+ 6x₂ - 0.5x₃and s_e= 16. Also, when x₁ = 30, x₂ = 10, and x₃ = 65 se( ₀) = 37.
A) Construct a 90% confidence interval for E(y) if x₁ = 30, x₂ = 10, and x₃ = 65.
B) Construct a 90% prediction interval for y if x₁ = 30, x₂ = 10, and x₃ = 65.
C) Which interval is narrower? Explain.

Question

In a multiple regression based on 30 observations, the following information is provided:

= 469 - 2x₁+ 6x₂ - 0.5x₃and s_e= 16. Also, when x₁ = 30, x₂ = 10, and x₃ = 65 se(

₀) = 37.
A) Construct a 90% confidence interval for E(y) if x₁ = 30, x₂ = 10, and x₃ = 65.
B) Construct a 90% prediction interval for y if x₁ = 30, x₂ = 10, and x₃ = 65.
C) Which interval is narrower? Explain.

Quizplus · Accepted Answer

The Answer of In a multiple regression based on 30 observations, the following information is provided: = 469 - 2x₁+ 6x₂ - 0.5x₃and s_e= 16. Also, when x₁ = 30, x₂ = 10, and x₃ = 65 se( ₀) = 37. A) Construct a 90% confidence interval for E(y) if x₁ = 30, x₂ = 10, and x₃ = 65. B) Construct a 90% prediction interval for y if x₁ = 30, x₂ = 10, and x₃ = 65. C) Which interval is narrower? Explain.

In a Multiple Regression Based on 30 Observations, the Following