The following equations were estimated using the data in BWGHT: log(bwght) = 4.66 - .0044 cigs +.0093 log(faminc) + .016 parity (.22) 0.0009) (.0059) 0.006) + .027 male + .055 white (.010) (.013) n = 1,388, R2 = .0472 and log(bwght) = 4.65 - .0052 cigs +.0110 log(faminc) + .017 parity (.38) 0.0010) (.0085) 0.006) +.034 male + .045 white - .0030 motheduc + .0032 fatheduc 0.011) (.015) (.0030) (.0026) n = 1,191, R2 = .0493. where bwght = birth weight, in pounds. cigs = average number of cigarettes the mother smoked per day during pregnancy parity = the birth order of this child. faminc = annual family income. motheduc = years of schooling for the mother. fatheduc = years of schooling for the father. and we have added a dummy variable for whether the child is male and a dummy variable indicating whether the child is classified as white. (1) In the first equation, interpret the coefficient on the variable cigs. In particular, what is the effect on birth weight from smoking 10 more cigarettes per day? (2) How much more is a white child predicted to weigh than a nonwhite child, holding the other factors in the first equation fixed? Is the difference statistically significant? (3) Comment on the estimated effect and statistical significance of motheduc. (4) From the given information, why are you unable to compute the F statistic for joint significance of motheduc and fatheduc? What would you have to do to compute the F statistic? The following equations were estimated using the data in BWGHT: log(bwght) = 4.66 - .0044 cigs +.0093 log(faminc) + .016 parity (.22) 0.0009) (.0059) 0.006) + .027 male + .055 white (.010) (.013) n = 1,388, R2 = .0472 and log(bwght) = 4.65 - .0052 cigs +.0110 log(faminc) + .017 parity (.38) 0.0010) (.0085) 0.006) +.034 male + .045 white - .0030 motheduc + .0032 fatheduc 0.011) (.015) (.0030) (.0026) n = 1,191, R2 = .0493. where bwght = birth weight, in pounds. cigs = average number of cigarettes the mother smoked per day during pregnancy. parity = the birth order of this child. faminc = annual family income. motheduc = years of schooling for the mother. fatheduc = years of schooling for the father. and we have added a dummy variable for whether the child is male and a dummy variable indicating whether the child is classified as white. (1) In the first equation, interpret the coefficient on the variable cigs. In particular, what is the effect on birth weight from smoking 10 more cigarettes per day? (2) How much more is a white child predicted to weigh than a nonwhite child, holding the other factors in the first equation fixed? Is the difference statistically significant? (3) Comment on the estimated effect and statistical significance of motheduc. (4) From the given information, why are you unable to compute the F statistic for joint significance of motheduc and fatheduc? What would you have to do to compute the statistic