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The following STATA output shows the result of a study, where the main independent variable is married (1=married, 0=not married) and the main dependent variable
The following STATA output shows the result of a study, where the main independent
variable is married (1=married, 0=not married) and the main dependent variable is
happiness (scale of 1 to 3 points, 1=not too happy, 2=pretty happy, 3=very happy), holding
gender (female), age (age), health (health), and employment status (unemployed) constant.
(note: female=1 if female, 0 if not, age (age in years), health (scale of 1 to 4 points,
1=poor, 2=fair, 3=good 4=excellent, and employed=1 if employed and 0 if unemployed).
Determin (B)y- r a pan and p 25 (0- 5. The following STATA output shows the result of a study, where the main independent variable is married (1-married, 0-not married) and the main dependent variable is happiness (scale of 1 to 3 points, 1-not too happy, 2-pretty happy, 3-very happy), holding gender (female), age (age), health (health), and employment status (unemployed) constant. (note: female-1 if female, 0 if not, age (age in years), health (scale of 1 to 4 points, 1-poor, 2-fair, 3-good 4-excellent, and employed-1 if employed and 0 if unemployed). SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.392786933 0.154281574 Adjusted R Square 0.150188068 Standard Error Observations 0.610291971 1039 ANOVA of ss Regression Residual Total 5 70.18816749 MS 14.03763 F Significance 37.68934471 140935-35 1033 384.7473474 0.372456 1038 454 9355149 Coefficients Standard Error Intercept married 1.45373 0.095712164 Stat 15.1886 P-value Lower 95% Upper 95% 0.00001 1.265921472 164154637 0.29681 0.038540458 7.701162 0.00001 0221179807 0.37243285 health female 0.21815 0.023229411 9.39118 0.00001 0172569356 026373379 -0.04944 0.038251256 -129246 0.19648 unemployed age -0.35857 0.00083 0.085334699 42019 0.001129351 -0.73649 0.00002 046160 -0.124497427 0.02562063 0526016956 01911187 0.003047835 0.00138433 a) Interpret the result above (tip: focus on the main independent variable: is it significant? What does the coefficient tell you? What about R2?) (4 points) b) What is the estimated regression equation for the above output? (4 points) c) What is the predicted happiness level for a 30-year-old female, who is married, employed, and in excellent health? (6 points) 10
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