You have estimated an earnings function, where you regressed the log of earnings on a set of continuous explanatory variables (in levels)and two binary variables, one for gender and the other for marital status. One of the explanatory variables is education.
(a)Interpret the education coefficient.
(b)Next, specify the binary variables and an equation, where the default is a single male, without allowing for interaction between marital status and gender. Indicate the coefficients that measure the effect of a single male, single female, married male, and married female.
(c)Finally allow for an interaction between the gender and marital status binary variables. Repeat the exercise of writing down the various effects based on the female/male and single/married status. Why is the latter approach more general than the former?

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The Answer of You have estimated an earnings function, where you regressed the log of earnings on a set of continuous explanatory variables (in levels)and two binary variables, one for gender and the other for marital status. One of the explanatory variables is education.
(a)Interpret the education coefficient.
(b)Next, specify the binary variables and an equation, where the default is a single male, without allowing for interaction between marital status and gender. Indicate the coefficients that measure the effect of a single male, single female, married male, and married female.
(c)Finally allow for an interaction between the gender and marital status binary variables. Repeat the exercise of writing down the various effects based on the female/male and single/married status. Why is the latter approach more general than the former?

You Have Estimated an Earnings Function, Where You Regressed the Log