Question

9. A regression of log(wage) is run on a set of following variables: educ (years of education), exper (years of experience) a
a. Test the hypothesis that the variable exper has a statistically significant positive impact on the log of wage under 3% si
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Answer #1

a. The hypothesis for variable exper will be

Ho: β<or=0

Hi: β> 0

The test statisic will be

t= β'/se(β')

t=0.010510/ 0.001569

t= 6.69

At 5% level of significant, critical t value is 2

6.69>2 implies the result is statistically significant.

b. If the number of dependents goes up by one unit, then ceteris paribus, the value of wages goes up by 1.32%.

c. Confidence interval for the variable educ will be

β'-t(0.05)*se(β') , β'+t(0.05)se(β')

0.0994- 2(0.00786) , 0.0994+2(0.00786)

(0.08368 , 0.11512)

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