
Equation1:E[wage|race,married, racemarried]=8.93-1.2race1married-2.19race2-1.96race2married-0.5race3-0.33race3married
if I want to calculate the wage of the race3married, it should be 8.93-0.5-0.33?
the basegroup is race1unmarried?
the wage that race3married is 0.33 less than the wage that race1unmarried made?
Equation2:E[wage|race,married, racemarried]=8.93-2.19race2-0.5race3-1.2married+1.44race2married+1.38race3married
the two regression models have the same data, but the coefficients of the race2married and race3married are so different, may I ask why?