1. We estimated the two regression models using the BWGHT.DTA data; you should be able to open thedata sets and find what each variable stands for. Use output (1) to answer questions (a) and (b); output (2)to answer question (c); and both outputs to answer question (d):(1). reg lbwght cigs lfamine parity male whiteSource |ssdfMSNumber of obsF(5, 1382)Prob > FR-squaredAdj R-squared1,38813.69Model |Residual |2.379174995475834999.0347620540.000048.04115861,3820.04720.0437Total |50.42033361,387.036352079Root MSE.18645lbwght |Coef.Std. Err.(95% Conf. Interval]tP>It|cigs |lfamine |-.0043502.0092774.0008518-5.110.0000.1180.005-.0060212-.0026791.0059308.005638801002951.56-.0023570209118parity Imale |white |.0159828.0265458.05478754.6577112.83.0049213.00687110270443.04622060803912.650.0080.000..0130518.0221653.0291844.614234.20cons |210.140.0004.701193(2). reg lbwght cigs lfamine parity male white motheduc fatheducSource |1,1918.76sdfMSNumber of obsF(7, 1183)Prob > F------Model |Residual I2.073938.296276857.03380484870.000039.99113541,183R-squaredAdj R-squared0.04930.0437Total |42.06507331,190035348801Root MSE.18386lbwght |Coef.Std. Err.tP>|t|[95% Conf. Interval]cigs |lfaminc |-.0052144.0110315.0010268.0085404-5.080.000-.0031999.0277876-.00722881.290.197-.0057247parity |male |white.0172014.00613352.800.0050.0010.003.0051676.0292351.0107022.015087.0029731.0026084.0381545.0341433.19.0131455.0551404.04539913.01.0157988.0749993motheduc |fatheduc |cons |-.0029763-1.000.317-.0088094.0028568.00327631.260.209-.0018413.0083944.652674121.940.0004.5778164.727532(a) Interpret the coefficient on the variable cigs. In particular, what is the effect on birthweight fromsmoking 10 or more cigarettes a day?(b) How much more is a white child predicted to weigh than a nonwhite child, holding the other factorsfixed? Is the difference statistically significant?(c) Comment on the estimated effect and the statistical significance of mother's education.(d) Test for the joint significance of the two variables, mother's education and father's education at the fivepercent level of significance. Properly state the null and alternative hypotheses, decision rule, critical Fstatistic, and then state your decision.

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

1. We estimated the two regression models using the BWGHT.DTA data; you should be able to open the data sets and find what each variable stands for. Use output (1) to answer questions (a) and (b); output (2) to answer question (c); and both outputs to answer question (d): (1). reg lbwght cigs lfamáne parity male white Source | 1,308 13.69 0.0000 0.0472 0.0437 .10645 df MS Number of obs F(5, 1382) Prob > R-squared Adj R-squared Root MSE Model | 2.37917499 Residual | 48.0411586 475834999 034762054 1,302 Total | 50.4203336 1,387 .036352079 lbwght I Coef. Std. Err. (954 Conf. Interval) t cigs ! lfamine I parity I male I -.0043502 .0092774 0159828 .0265458 .0008518 .0059308 -5.11 1.56 2.83 0.000 0.118 -.0060212 -.0026791 0209118 -.002357 .0049213 .0056388 .0100295 .0130518 0.005 .0270443 2.65 4.20 0.008 .0068711 .0462206 white I .0547875 0.000 .029184 .080391 4.701193 cons| 4.657711 .0221653 210.14 0.000 4.61423 (2). reg lbwght cigs lfamine parity male white motheduc fathedue Source | 1,191 8.76 0.0000 df MS Number of obs F(7, 1183) Prob > F Model I 7 .296276857 .033804848 2.073938 Residual | 39.9911354 1,183 R-squared Adj R-squared Root MSE 0.0493 0.0437 Total | 42.0650733 1,190 .035348801 .18386 lbwght | Coef. Std. Err. P>It| (954 Conf. Interval) t ciga | lfamine | parity | male I -.0052144 0010268 0085404 -5.08 1.29 0.000 -.0072288 -.0031999 .0110315 0.197 -.0057247 .0277876 .0172014 .034143 0061335 2.80 0.005 0.001 0051676 .0292351 0551404 0107022 .015087 .0029731 3.19 3.01 -1.00 .0131455 .0453991 -.0029763 .0032763 0.003 0.317 0.209 0.000 .0749993 .0028568 .008394 white I .0157988 motheduc | fatheduc | _cons 4.652674 -.0088094 .0026084 1.26 121.94 -.0018413 .0381545 4.577816 4.727532 (a) Interpret the coefficient on the variable cigs. In particular, what is the effect on birthweight from smoking 10 or more cigarettes a day? (b) How much more is a white child predicted to weigh than a nonwhite child, holding the other factors fixed? Is the difference statistically significant? (c) Comment on the estimated effect and the statistical significance of mother's education. (d) Test for the joint significance of the two variables, mother's education and father's education at the five percent level of significance. Properly state the null and alternative hypotheses, decision rule, critical F statistic, and then state your decision.