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2. Binary Independent Variables. When estimating the effect of gender, religion and marital status on the level of education, we have categorized the sample population into the following groups: religion-marital-gender. There are two religions in the sample: Muslim and Christian; gender : Male or Female; marital : married or single. at. How many groups are there, and name them? b. Write down the regression equation, including all dummy variables relevant to the study. The dependent variable is education; independent variables are income, parents' education and the dummy variables (assume that dummy variables only a'ect the intercept) c. Interpret the coefcients of any two of the dummy variables? d. Some economists think that the marginal effect of income on education varies across groups above ? How would you incorporate this to your model above