In a Multiple Regression Based on 30 Observations, the Following

question 25

Essay

In a multiple regression based on 30 observations, the following information is provided: = 469 - 2x₁ + 6x₂ - 0.5x₃ and 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.

• 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.

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