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5. (26 points) The following two equations were estimated using a sample of births for the year 2010. The variable bwght is birth weight, in ounces, faminc is annual family income, in thousands of dollars, cigs is number of cigarettes the mother smoked per day while pregnant, motheduc is mother's education (in years), and fatheduc is father's education (in years): log (bŵght) = 4.73+ 0.146 log( faminc) - (0.03) (0.076) n=1,191 R² = 0.264 0.031 cigs (0.016) (5.1) log (bŵght) = 4.73+ 0.136 log( faminc) - (0.03) (0.076) - 0.051 cigs (0.010) 0.040 motheduc+ 0.041 fatheduc (0.030) n=1,191 R² = 0.286 (0.026) (5.2) (a) In terms of the model parameters, (i) state the null hypothesis that, after controlling for faminc, motheduc, and fatheduc, cigs has no effect on birth weight against the alternative that cigs has a negative effect; and (ii) carry out the test at the 10% significance level (4 points). (b) Controlling for cigs, is faminc individually significant at the 1% level against a two- sided alternative? (4 points)

5. (26 points) The following two equations were estimated using a sample of births for the year 2010. The variable bwght is birth weight, in ounces, faminc is annual family income, in thousands of dollars, cigs is number of cigarettes the mother smoked per day while pregnant, motheduc is mother's education (in years), and fatheduc is father's education (in years): log (bŵght) = 4.73+ 0.146 log( faminc) - (0.03) (0.076) n=1,191 R² = 0.264 0.031 cigs (0.016) (5.1) log (bŵght) = 4.73+ 0.136 log( faminc) - (0.03) (0.076) - 0.051 cigs (0.010) 0.040 motheduc+ 0.041 fatheduc (0.030) n=1,191 R² = 0.286 (0.026) (5.2) (a) In terms of the model parameters, (i) state the null hypothesis that, after controlling for faminc, motheduc, and fatheduc, cigs has no effect on birth weight against the alternative that cigs has a negative effect; and (ii) carry out the test at the 10% significance level (4 points). (b) Controlling for cigs, is faminc individually significant at the 1% level against a two- sided alternative? (4 points)

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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5. (26 points) The following two equations were estimated using a sample of births for the year 2010. The variable bwght is birth weight, in ounces, faminc is annual family income, in thousands of dollars, cigs is number of cigarettes the mother smoked per day while pregnant, motheduc is mother's education (in years), and fatheduc is father's education (in years): log (bŵght) = 4.73+ 0.146 log( faminc) - (0.03) (0.076) n=1,191 R² = 0.264 0.031 cigs (0.016) (5.1) log (bŵght) = 4.73+ 0.136 log( faminc) - (0.03) (0.076) - 0.051 cigs (0.010) 0.040 motheduc+ 0.041 fatheduc (0.030) n=1,191 R² = 0.286 (0.026) (5.2) (a) In terms of the model parameters, (i) state the null hypothesis that, after controlling for faminc, motheduc, and fatheduc, cigs has no effect on birth weight against the alternative that cigs has a negative effect; and (ii) carry out the test at the 10% significance level (4 points). (b) Controlling for cigs, is faminc individually significant at the 1% level against a two- sided alternative? (4 points)
Transcribed Image Text:5. (26 points) The following two equations were estimated using a sample of births for the year 2010. The variable bwght is birth weight, in ounces, faminc is annual family income, in thousands of dollars, cigs is number of cigarettes the mother smoked per day while pregnant, motheduc is mother's education (in years), and fatheduc is father's education (in years): log (bŵght) = 4.73+ 0.146 log( faminc) - (0.03) (0.076) n=1,191 R² = 0.264 0.031 cigs (0.016) (5.1) log (bŵght) = 4.73+ 0.136 log( faminc) - (0.03) (0.076) - 0.051 cigs (0.010) 0.040 motheduc+ 0.041 fatheduc (0.030) n=1,191 R² = 0.286 (0.026) (5.2) (a) In terms of the model parameters, (i) state the null hypothesis that, after controlling for faminc, motheduc, and fatheduc, cigs has no effect on birth weight against the alternative that cigs has a negative effect; and (ii) carry out the test at the 10% significance level (4 points). (b) Controlling for cigs, is faminc individually significant at the 1% level against a two- sided alternative? (4 points)
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