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

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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   = 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 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   = 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. = 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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