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In a Multiple Regression Based on 30 Observations, the Following

Question 25

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In a multiple regression based on 30 observations, the following information is provided: In a multiple regression based on 30 observations, the following information is provided: = 469 - 2x<sub>1 </sub>+ 6x<sub>2</sub> - 0.5x<sub>3 </sub>and s<sub>e </sub>= 16. Also, when x<sub>1</sub> = 30, x<sub>2</sub> = 10, and x<sub>3</sub> = 65 se( <sub>0</sub>) = 37. A) Construct a 90% confidence interval for E(y) if x<sub>1</sub> = 30, x<sub>2</sub> = 10, and x<sub>3</sub> = 65. B) Construct a 90% prediction interval for y if x<sub>1</sub> = 30, x<sub>2</sub> = 10, and x<sub>3</sub> = 65. C) Which interval is narrower? Explain. = 469 - 2x1 + 6x2 - 0.5x3 and se = 16. Also, when x1 = 30, x2 = 10, and x3 = 65 se( In a multiple regression based on 30 observations, the following information is provided: = 469 - 2x<sub>1 </sub>+ 6x<sub>2</sub> - 0.5x<sub>3 </sub>and s<sub>e </sub>= 16. Also, when x<sub>1</sub> = 30, x<sub>2</sub> = 10, and x<sub>3</sub> = 65 se( <sub>0</sub>) = 37. A) Construct a 90% confidence interval for E(y) if x<sub>1</sub> = 30, x<sub>2</sub> = 10, and x<sub>3</sub> = 65. B) Construct a 90% prediction interval for y if x<sub>1</sub> = 30, x<sub>2</sub> = 10, and x<sub>3</sub> = 65. C) Which interval is narrower? Explain. 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.

Correct Answer:

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a. [373.38, 499.62]
b. [367.73, 505.27]
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