# Interaction Dummy

I have a model: $$\ln({\rm earnings}) = 2.618656-0.0899657{\rm female}+0.382019{\rm white}-0.2754126{\rm female}\times{\rm white}$$ ${\rm female}$ and ${\rm white}$ are dummy variables.

t= female=-1.65 white=8.86 female*white=-4.61 cons=66.07

p>|t|= female=(0.100) white=0.000 female*white=0.000 cons=0.000

std error= female=0.0546456 white=0.043098 female*white=0.059699 cons=0.0396351

95% confidence interval.

                   male          female        Gender Effect
white            a (2.62)      a+b1 (2.53)       b1 (-0.09)
non-white        a+b2 (3)   a+b1+b2+b3 (2.63)    b1+b3 (-0.37)   b3=-0.28
Ethnic Effect    b2 (0.38)     b2+b3 (0.1)
b3=-0.28


Now i know there is gender pay difference with b1 (9%), I also know there is race pay difference with b2(38%). Now i need to know is their a gender pay gap for whites only. How can I figure that out regression above.

Note:( my last question had two parts, part 1 interpreting b3 which was answered, it is part 2 which has not been asnwered yet I have edited my question with more detail so now it can be looked at more appropriately Thanks)