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 = 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

= 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.

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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 = 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 Information