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A data set of 1388 infants contains information regarding infant birth weights in grams (bwghtgrams) and the number of cigarettes per day that an infant's mother smoked during pregnancy (cigs)

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A data set of 1388 infants contains information regarding infant birth weights in grams (bwghtgrams) and the number of cigarettes per day that an infant's mother smoked during pregnancy (cigs). An OLS regression of bwghtgrams on cigs is given as follows: bwghtgrams_hat=3395.48 - 14.57*cigs se: (16.23) (2.57) t-stat: (209.27) (-5.67) p-value: (0.00) (0.00) R-square - 0.023 (a) Interpret the coefficients. (b) What is the p-value of the significance test on the OL S slope parameter? Given this p-value, can we reject the null hypothesis at the 5% significance level? (c) What percentage of variation in infant's birth weight is explained by mother's smoking intensity? (d) Predict the birth weight of a baby born to a non-smoking mother. (e) How much will birth weight change if the number of cigarettes smoked changes from 0 to 10?