You are interested in whether smoking potentially influences birth weight of babies. Suppose you estimate the following regression model 1: bweight; = do + a, cigs; + azfaminc, + ci (1) where "bweight" represents a child's weight at birth (in ounces), "cigs" is the number of cigarettes smoked per day by the mother while she was pregnant, and "famine" is the total family income (in thousands of US dollars). Table 3: output of regression model 1 reg bwght cigs faminc Source SS df MS Number of obs 1 , 388 F (2, 1385) 21. 27 Model 17126 . 2088 2 8563 . 10442 Prob > F 0 . 0000 Residual 557485. 511 1, 385 402 . 516614 R-squared 11 0 . 0298 Adj R-squared 1 11 0 . 0284 Total 574611 . 72 1, 387 414. 283864 Root MSE 20.063 bwght Coef. Std. Err. t P>It [95% Conf. Interval] cigs . 4634075 0915768 -5 . 06 0 . 000 . 6430518 -. 2837633 faminc 0927647 0291879 3 . 18 0 . 002 0355075 . 1500219 cons 116.9741 1. 048984 111 . 51 0 . 000 114 . 9164 119 . 0319 a) The output of your regression is displayed in Table 3. Interpret the estimated coefficients, discuss their significance level and goodness of fit in the regression. (8 marks)