Estimaton of the model M + + Bs a+e resulted in the following least squares estimates and corresponding estimated covariance matrix by var (b1 ) CoU (b), by, ba) = cou (bị , b2) Cou (b1 , b2 ) cov (bị , b3) covu (b3 , b3) var (by ) 4 var (bz) 1 Cou (b, , b3) cou (b3 , b3) 4 A 95% confidence interval for the expectation of y when r; = 1 and r3 = -1 is O None of the above O (6 – 1.96 × V12, 6 + 1.96 V12) O (6 – 1.96 × Võ, 6 + 1.96 O (6 – 1.645 x V14, 6 + 1.645 V14) O (6- 1.96 × V14. 6 + 1.96 V 14)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.1: Matrices And Systems Of Equations
Problem 93E
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Estimaton of the model
M + + Bs a+e
resulted in the following least squares estimates and corresponding estimated covariance matrix
by
var (b1 )
CoU (b), by, ba) = cou (bị , b2)
Cou (b1 , b2 ) cov (bị , b3)
covu (b3 , b3)
var (by )
4
var (bz)
1
Cou (b, , b3) cou (b3 , b3)
4
A 95% confidence interval for the expectation of y when r; = 1 and r3 = -1 is
O None of the above
O (6 – 1.96 × V12, 6 + 1.96
V12)
O (6 – 1.96 × Võ, 6 + 1.96
O (6 – 1.645 x V14, 6 + 1.645
V14)
O (6- 1.96 × V14. 6 + 1.96
V 14)
Transcribed Image Text:Estimaton of the model M + + Bs a+e resulted in the following least squares estimates and corresponding estimated covariance matrix by var (b1 ) CoU (b), by, ba) = cou (bị , b2) Cou (b1 , b2 ) cov (bị , b3) covu (b3 , b3) var (by ) 4 var (bz) 1 Cou (b, , b3) cou (b3 , b3) 4 A 95% confidence interval for the expectation of y when r; = 1 and r3 = -1 is O None of the above O (6 – 1.96 × V12, 6 + 1.96 V12) O (6 – 1.96 × Võ, 6 + 1.96 O (6 – 1.645 x V14, 6 + 1.645 V14) O (6- 1.96 × V14. 6 + 1.96 V 14)
Expert Solution
Step 1

Given the regression model

yi=β1+β2x2i+β3x3i+εi

and b1b2b3=442

cov^b1,b2,b3=4-11-141114

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