# The regression coefficient

Wage = hourly wage in $

Age = age in years

Female = 1 if female worker

Nonwhite = 1 if a nonwhite worker

Union = 1 if a union member

Education = years of schooling

Experience = potential labor market experience in years

The full data set can be found as Table 6-16 on the textbookâ??s Web site.

a. Based on these data, estimate the following model, obtaining the usual regression statistics.

1n Wagei = B1 + B2 Age + B3 Female + B4 Nonwhite + B5 Union + B6 Education + B7 Experience + ui

where 1n Wage = (natural logarithm of Wage)

b. How do you interpret each regression coefficient?

c. Which of these coefficients are statistically significant at the 5% level? Also obtain the p value of each estimated t

value.

d. Do union workers, on average, earn a higher hourly wage?

e. Do female workers, on average, earn less than their male counterparts?

f. Is the average hourly wage of female nonwhite workers lower than the average hourly wage of female white workers?

How do you know? (Hint: interaction dummy.)

g. Is the average hourly wage of female union workers higher than the average hourly wage of female non-union workers?

How do you know?

https://brainmass.com/economics/regression/the-regression-coefficient-377358

#### Solution Summary

The regression coefficient is emphasized.