Question

Using data from 50 workers, a labour economist runs a multiple regression of Y (hourly wage...

Using data from 50 workers, a labour economist runs a multiple regression of Y (hourly wage in $) on X1 (years of education), X2 (gender) and X3 (an interaction between X1 and X2), and obtains the following regression results.

Coefficients Standard error
Intercept -16.78 2.14
Years of education 2.77 0.16
Gender (coded 1 for female and 0 for male) 8.84 3.01
Interaction between years of education and gender -1.02 0.22

Based on the above information, the estimated effect of X1 (years of education) on Y (hourly wage) for female employees is ___________.

a.

11.61

b.

8.84

c.

1.02

d.

1.75

Homework Answers

Answer #1

Given:

Using data from 50 workers, a labour economist runs a multiple regression of Y (hourly wage in $) on X1 (years of education), X2 (gender) and X3 (an interaction between X1 and X2), and obtains the following regression results.

Coefficients Standard error
Intercept -16.78 2.14
Years of education 2.77 0.16
Gender (coded 1 for female and 0 for male) 8.84 3.01
Interaction between years of education and gender -1.02 0.22

Based on the above information, the estimated effect of X1 (years of education) on Y (hourly wage) for female employees is

Estimated effect = 2.77 + 8.84 = 11.61........ ( for female employees, X2 = 1).

So the estimated effect of X1 (years of education) on Y (hourly wage) for female employees is 11.61.

Answer - option a

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