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1. Let bwght denote the birth weight of a mother's child, in ounces. Let cigs denote the number of cigarettes the mother smoked per day while pregnant. A simple model relating birth weight to smoking while pregnant is bwght = Bo + picigs + u a. List three factors that are found in t. b. Does the zero conditional mean assumption hold? Explain. c. What do you believe the sign of 8, Is (positive or negative)? d. Using Stata and the bwght.dta data set, answer the following questions. I. "What are the OLS estimates of the population parameters ( Po. A, )? if. Interpret the slope estimate? ill. Interpret the Intercept estimate? iv. What is the predicted birth weight of a child that has a mother that smokes 1. zero cigarettes a day while pregnant. 2.the average (mean) number of cigarettes a day while pregnant. 3. the median number of cigarettes a day while pregnant. 4. 50 cigarettes a day while pregnant