Answers
Solving first 4 parts as per HOMEWORKLIB POLICY. Please post the rest separately. Thank you.
Ai
The given equation is
ln(earnings)=6.48-.44Female
What its saying is that the log of earnings decreases by 44% if you are a female. Or, in other words
ln(earnings+dearnings)-ln(earnings)=-.44female
where dearnings is change in earnings.
By approximation, we get
dearnings/earnings =-.44female
Meaning that being a female reduces your earnings by 44%.
Aii
SER is the standard deviation of the error term.
The error term is the variation in the data that happens because of factors other than gender. These may include job experience, education level etc.
SER is the standard deviation of that error.
Aiii
As discussed in part A, this finding indeed does suggest that, assuming all other factors were held constant, female top executives earn less than male top executives.
Aiv
If all other factors are held constant (such as education level, experience etc), then there is gender discrimination. If other factors were not held constant, then nothing conclusive can be said.
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