4. The data set BWGHT.DTA contains data on births to women in the United States. Two variables of interest are the dependent variable, infant birth weight in ounces (bwght), and an explanatory variable, average number of cigarettes the mother smoked per day during pregnancy (cigs). The following simple regression was estimated using data on n=1,388 births: bwght=119.77 - .514 cigs (i) What is the predicted birth weight when cigs = 0? What about when cigs=20 (one pack per day)? Comment on the difference. (ii) Does this simple regression necessarily capture a causal relationship between the child's birth weight and the mother's smoking habits? Explain. (iii) To predict a birth weight of 125 ounces, what would cigs have to be? Comment. (iv) The proportion of women in the sample who do not smoke while pregnant is about .85. Does this help reconcile your finding from part (iii)?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter4A: Problems In Applying The Linear Regression Model
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Problem 5E
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4. The data set BWGHT.DTA contains data on births to women in the United States. Two variables of
interest are the dependent variable, infant birth weight in ounces (bwght), and an explanatory variable,
average number of cigarettes the mother smoked per day during pregnancy (cigs). The following simple
regression was estimated using data on n=1,388 births:
bwght=119.77 - .514 cigs
(i) What is the predicted birth weight when cigs = 0? What about when cigs=20 (one pack per day)?
Comment on the difference.
(ii) Does this simple regression necessarily capture a causal relationship between the child's birth weight
and the mother's smoking habits? Explain.
(iii) To predict a birth weight of 125 ounces, what would cigs have to be? Comment.
(iv) The proportion of women in the sample who do not smoke while pregnant is about .85. Does this
help reconcile your finding from part (iii)?
Transcribed Image Text:4. The data set BWGHT.DTA contains data on births to women in the United States. Two variables of interest are the dependent variable, infant birth weight in ounces (bwght), and an explanatory variable, average number of cigarettes the mother smoked per day during pregnancy (cigs). The following simple regression was estimated using data on n=1,388 births: bwght=119.77 - .514 cigs (i) What is the predicted birth weight when cigs = 0? What about when cigs=20 (one pack per day)? Comment on the difference. (ii) Does this simple regression necessarily capture a causal relationship between the child's birth weight and the mother's smoking habits? Explain. (iii) To predict a birth weight of 125 ounces, what would cigs have to be? Comment. (iv) The proportion of women in the sample who do not smoke while pregnant is about .85. Does this help reconcile your finding from part (iii)?
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