3. Suppose you estimate a regression model with two regressors Y; = X1:B1 + X2;B2 + €; You obtain the parameter estimates: Bi = 4.0, B2 = 5.0. %3D

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3. Suppose you estimate a regression model with two regressors
Y; = X1iB1 + X2;ß2 + €¡
You obtain the parameter estimates:
Bi = 4.0, B2
= 5.0.
4 0
and the estimated var-cov matrix for the vector B is E;
0 6
(a) Test the hypothesis that B1 = 5.0 (provide the test statistic and state its distribution).
4
(b) Test the hypothesis that B1 = B2 (provide the test statistic and state its distribution
(including any degrees of freedom)).
Transcribed Image Text:3. Suppose you estimate a regression model with two regressors Y; = X1iB1 + X2;ß2 + €¡ You obtain the parameter estimates: Bi = 4.0, B2 = 5.0. 4 0 and the estimated var-cov matrix for the vector B is E; 0 6 (a) Test the hypothesis that B1 = 5.0 (provide the test statistic and state its distribution). 4 (b) Test the hypothesis that B1 = B2 (provide the test statistic and state its distribution (including any degrees of freedom)).
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