The last two variables are entered into the regression as centered around their mean, Mom_Age_Cutrd and M_WtGain_Cutrd, i.e. Mom_Age_Cutrd is the variable Mom_Age minus the average age of Mom_Age, and simi- larly for M_WtGain_Catrd. The average age of mothers is 27.2 years and the average weight gain is 30.8 pounds. Dependent Variable: WEIGHT Method: Least Squares Date: 03/11/22 Time: 15:19 Sample: 1 65535 Included observations: 65535 Huber-White-Hinkley (HC1) heteroskedasticity consistent standard errors and covariance Variable Coefficient Std. Error t-Statistic Prob. C 3316.786 8. 106849 409.1338 0.0000 BOY 104.6528 4.231952 24.72921 0.0000 MARRIED 66.44096 5.699306 11.65773 0.0000 ED COL 27.51704 7.816031 3.520590 0.0004 ED_HS 8.680020 6.494597 1.336498 0.1814 ED_SMCOL 24.48548 7.229266 3.386994 0.0007 SMOKE -200.6533 11.36470 -17.65585 0.0000 CIGSPER -1.260510 0.812260 -1.551855 0.1207 BLACK -200.5243 6.468994 -30.99775 0.0000 MOM AGE_CNTRD 5.641921 0.461996 12.21205 0.0000 MOM AGE_CNTRD 2 -0.514637 0.064432 -7.987346 0.0000 M_WTGAIN_CNTRD 9.618949 0. 198337 48.49802 0.0000 M_WTGAIN_CNTRD 2 -0.027913 0.008685 -3.214042 0.0013 R-squared 0. 113853 Mean dependent var 3347.636 Adjusted R-squared 0.113691 S.D. dependent var 575.1800 S.E. of regression 541.4975 Akaike info criterion 15.42675 Sum squared resid 1.92E+10 Schwarz criterion 15.42856 Log likelihood -505483.1 Hannan-Quinn criter. 15.42731 F-statistic 701.5267 Durbin-Watson stat 1.957147 Prob(F-statistic) 0.000000 Wald F-statistic 623.6461 Prob(Wald F-statistic) 0.000000Description of variables: Weight is birth weight in grams, Boy is equal to 1 if the baby is a boy, 0 if it is a girl, Married is 1 if the mother is married. 0 if unmarried. Education of the mother is divided into four categories: less than high school, high school (dummy variable Ed_Hs), some college (dummy variable Ed SmCol), and college graduate (dummy variable Ed Col). The omitted category is "less than high school," so coefficients must be interpreted rela- tive to this category. Smoke is equal to 1 if the mother smokes, 0 if she does not, CigsPer is cigarettes smoked per day, Black is 1 if the mother is black, 0 otherwise. Mom Age is age in years, M WtGain is mother's weight gain in pounds.A dataset contains data on birth weights of 65535 babies born in June 1997 along with variables that are potentially related to birth weights. The sample is restricted to singleton births, with mothers recorded as either black or white, between the ages of 18 and 45, resident in the United States. With the aim to investigate factors influencing the weight of babies at birth, a regression of Weight on a range of variables has been carried out. A description of variables is given below and the estimation results can be found on the following page. Referring to these results, answer the following questions. Keep in mind that two of the regressors, Mom Age and M WtGain, are entered in the regression in terms of the deviations from their mean