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A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, X₁ and X2. X₁ X₂ y 30 47 10 108 25 12 94 51 16 17 112 40 5 94 36 51 19 175 74 7 170 76 178 12 117 59 13 142 16 211 The estimated regression equation for the data is y = -18.4 +2.01x₁ + 4.74x2. (a) Develop a 95% confidence interval for the mean value of y when x₁ = 36 and x₂ = 12. (Round your answers to three decimal places.) to (b) Develop a 95% prediction interval for y when X₁ = 36 and x₂ = 12. (Round your answers to three decimal places.) to

A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, X₁ and X2. X₁ X₂ y 30 47 10 108 25 12 94 51 16 17 112 40 5 94 36 51 19 175 74 7 170 76 178 12 117 59 13 142 16 211 The estimated regression equation for the data is y = -18.4 +2.01x₁ + 4.74x2. (a) Develop a 95% confidence interval for the mean value of y when x₁ = 36 and x₂ = 12. (Round your answers to three decimal places.) to (b) Develop a 95% prediction interval for y when X₁ = 36 and x₂ = 12. (Round your answers to three decimal places.) to

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A statistical program is recommended. and X2. Consider the following data for a dependent variable y and two independent variables, X1 X1 X2 y 30 12 94 47 25 51 51 74 40 5 36 59 10 108 76 17 112 16 178 19 175 94 7 170 12 117 13 142 16 211 The estimated regression equation for the data is ŷ = -18.4 +2.01x₁ + 4.74x₂. x2 (a) Develop a 95% confidence interval for the mean value of y when X1 = 36 and x₂ = 12. (Round your answers to three decimal places.) to (b) Develop a 95% prediction interval for y when X1 to = 36 and X2 = 12. (Round your answers to three decimal places.)
Transcribed Image Text:A statistical program is recommended. and X2. Consider the following data for a dependent variable y and two independent variables, X1 X1 X2 y 30 12 94 47 25 51 51 74 40 5 36 59 10 108 76 17 112 16 178 19 175 94 7 170 12 117 13 142 16 211 The estimated regression equation for the data is ŷ = -18.4 +2.01x₁ + 4.74x₂. x2 (a) Develop a 95% confidence interval for the mean value of y when X1 = 36 and x₂ = 12. (Round your answers to three decimal places.) to (b) Develop a 95% prediction interval for y when X1 to = 36 and X2 = 12. (Round your answers to three decimal places.)
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