4. Consider the following model of wages. (3) wage; = Bo+ Breduc; + Bexper; + amarried; + Bakids; + i Where wage, is the wage earned by the ith individual, educ, is their years of completed education, exper; is the number of years of work experience an individual has accumu- lated, married, is a dummy variable taking a value of 1 if the individual is married and kids; is the number of children of school age the individual has caring responsibilities for. (a) Explain how a structural break in the model across genders might affect the model presented in (3). What might be the differences in two of the parameters of the model presented in (3) that you expect to see? [8 MARKS] (b) Explain how you might test whether or not there is a structural break in the model above, across gender. To implement your test you may assume that there is a dummy variable labelled "female" in the dataset. [14 MARKS] (c) How might you extend your tests above if you thought there might be structural breaks across other groups defined using dummy variables? [3 MARKS]