Consider the linear regression model: log(wage)=B1+B2 MATH+B3 ARABIC + e where wage is the hourly wage and MATH is you score in Math courses and ARABIC is your score in Arabic courses. You would like to test the hypothesis that MATH and ARABIC have the same effect on log(wage) against the alternative that MATH has a greater weight on log(wage) a. Formally state the null and the alternative hypotheses b. The OLS results from a sample of 300 observations are reported below log(wage)= 2.55+ 0.85 MATH+2.75 ARABIC R-square= 0.55) se (1.55) (0.035) (1.25) Test the hypothesis that you stated in (a) at 5% level given that the cov(b2,b3)=0.
Consider the linear regression model: log(wage)=B1+B2 MATH+B3 ARABIC + e where wage is the hourly wage and MATH is you score in Math courses and ARABIC is your score in Arabic courses. You would like to test the hypothesis that MATH and ARABIC have the same effect on log(wage) against the alternative that MATH has a greater weight on log(wage) a. Formally state the null and the alternative hypotheses b. The OLS results from a sample of 300 observations are reported below log(wage)= 2.55+ 0.85 MATH+2.75 ARABIC R-square= 0.55) se (1.55) (0.035) (1.25) Test the hypothesis that you stated in (a) at 5% level given that the cov(b2,b3)=0.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Consider the linear regression model: log(wage)=DB1+B2 MATH+B3 ARABIC + e where wage is the hourly wage and MATH is you score
in Math courses and ARABIC is your score in Arabic courses. You would like to test the hypothesis that MATH and ARABIC have the
same effect on log(wage) against the alternative that MATH has a greater weight on log(wage)
a. Formally state the null and the alternative hypotheses
b. The OLS results from a sample of 300 observations are reported below
log(wage)= 2.55+ 0.85 MATH+2.75 ARABIC
R-square= 0.55)
se (1.55) (0.035)
(1.25)
Test the hypothesis that you stated in (a) at 5% level given that the cov(b2,b3)=0.
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