In a multiple regression based on 30 observations,the following information is provided: = 38.6 - 0.1x₁and s_e= 5.4.Also, evaluated at x₁ = 40 and x₂ = 30 is 2.8.
a.Construct a 95% confidence interval for E(y)if x₁ equals 40 and x₂ equals 30.
b.Construct a 95% prediction interval for y if x₁ equals 40 and x₂ equals 30.
c.Which interval is narrower? Explain.

Question

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

= 38.6 - 0.1x₁and s_e= 5.4.Also,

evaluated at x₁ = 40 and x₂ = 30 is 2.8.
a.Construct a 95% confidence interval for E(y)if x₁ equals 40 and x₂ equals 30.
b.Construct a 95% prediction interval for y if x₁ equals 40 and x₂ equals 30.
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: = 38.6 - 0.1x₁and s_e= 5.4.Also, evaluated at x₁ = 40 and x₂ = 30 is 2.8. a.Construct a 95% confidence interval for E(y)if x₁ equals 40 and x₂ equals 30. b.Construct a 95% prediction interval for y if x₁ equals 40 and x₂ equals 30. c.Which interval is narrower? Explain.

In a Multiple Regression Based on 30 Observations,the Following Information