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

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
icon
Related questions
Question
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

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage