Estimation of the model resulted in the following least squares estimates and corresponding estimated covariance matrix by cou (bị , ba) cov (b) , b3) cou (b2 , b3) var (bz) var (b¡ ) 4 -1 cou (b) , bz , b3) = cou (b , b2) 4 -1 Cou (b) , b3) cov (b2 , b3) var (b3) 1 4 Which of the following is correct? O The hypothesis Ho : B2 = 0 versus the alternative Hj : 32 ± 0 is not rejected using a 5% significance level and the hypothesis Ho: B =1 versus the alternative H : B2 ± 1 is rejected using a S% significance level The hypothesis Ho : B2 = 0 versus the alternativeH¡ : 32 ± 0 is rejected using a 5% significance level and the hypothesis Ho : B2 =1 versus the alternative H : B2 # 1 is not rejected using a 5% significance level The hypothesis Ho : B2 = 0 versus the alternative Hj : 32 ± 0 is not rejected using a 5% significance level and the hypothesis H : B2 = 1 versus the alternative H : B ± 1 is not rejected using a 5% significance level None of the above The hypothesis Họ : B2 = 0 versus the alternative H1 : 32 † 0 is rejected using a 5% significance level and the hypothesis He: B2=1 versus the altemative Hị : B2 # 1 is rejected using a 5% significance level

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Estimation of the model
resulted in the following least squares estimates and corresponding estimated covariance matrix
by
var (b))
cou (b, bz, b3) = cou (b, ba)
Cou (bị , ba) cov (bị , b3 )
Cou (b, , b3)
var (b3)
1
var (b2)
COu (b) , b3) cov (b2 , b3)
1
4.
Which of the following is correct?
O The hypothesis Họ : B2 = 0 versus the alternative H¡ : B2 ± 0 is not rejected using a 5% significance level and the hypothesis Ho : B2 = 1
versus the alternative H1 : Bz 1 is rejected using a 5% significance level
O The hypothesis Họ : Bz = 0 versus the alternativeH : 32 ± 0 is rejected using a 5% significance level and the hypothesis Ho : B2 =1 versus
the alternative H¡ : B2 # 1 is not rejected using a 5% significance level
O The hypothesis Họ : B2 = 0 versus the alternative Hj : 32 ± 0 is not rejected using a 5% significance level and the hypothesis Ho : B2 = 1
versus the alternative H1 : B2 # 1 is not rejected using a 5% significance level
%3D
None of the above
The hypothesis Họ : B2 = 0 versus the alternative Hj : B2 † 0 is rejected using a 5% significance level and the hypothesis He: B2=1 versus
the altemative Hị : B2 # 1 is rejected using a 5% significance level
IS
%3D
Transcribed Image Text:Estimation of the model resulted in the following least squares estimates and corresponding estimated covariance matrix by var (b)) cou (b, bz, b3) = cou (b, ba) Cou (bị , ba) cov (bị , b3 ) Cou (b, , b3) var (b3) 1 var (b2) COu (b) , b3) cov (b2 , b3) 1 4. Which of the following is correct? O The hypothesis Họ : B2 = 0 versus the alternative H¡ : B2 ± 0 is not rejected using a 5% significance level and the hypothesis Ho : B2 = 1 versus the alternative H1 : Bz 1 is rejected using a 5% significance level O The hypothesis Họ : Bz = 0 versus the alternativeH : 32 ± 0 is rejected using a 5% significance level and the hypothesis Ho : B2 =1 versus the alternative H¡ : B2 # 1 is not rejected using a 5% significance level O The hypothesis Họ : B2 = 0 versus the alternative Hj : 32 ± 0 is not rejected using a 5% significance level and the hypothesis Ho : B2 = 1 versus the alternative H1 : B2 # 1 is not rejected using a 5% significance level %3D None of the above The hypothesis Họ : B2 = 0 versus the alternative Hj : B2 † 0 is rejected using a 5% significance level and the hypothesis He: B2=1 versus the altemative Hị : B2 # 1 is rejected using a 5% significance level IS %3D
Expert Solution
Step 1

Given the regression model

yi=β1+β2x2i+β3x3i+εi

and b1b2b3=442

cov^b1,b2,b3=4-11-140104

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