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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
Statistics

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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