# This question refers to the question 1 in Exam 1 e sleep and totwork (total work) is measured in ...

###### Question:

This question refers to the question 1 in Exam 1 e sleep and totwork (total work) is measured in minutes per week and educ and age aremeasured in years, male is a dummy variable (male- 1 if the individual is male, and o if female) This is the STATA output of the model: 706 19.59 0.0000 0.1228 Adj R-squared0.1165 df MS Number of obs Model Residual 17092058.5 122147777 F (5, 700) 5 3418411.71 Prob>F 700 174496.825 R-squared Total 139239836 705 197503.313 Root MSE 417.73 sleep Coef. Std. Err. (95% conf. Interval] totwrk1634232 .0181321 9.01 0.000 1990231278234 educ 11.71332 5.866886 -2.00 0.046 -23.232121945157 age -8.696676 11.20746 0.78 0.438 30.70094 13.30758 3913202 male 87.75243 34.32616 2.56 0.011 20.35786 155.147 cons 3840.832 235.108 16.34 0.000 3379.229 4302.435 age2 1284354 1338954 0.96 0.96 0.338 .1344494 i) All other factors being equal, is there evidence that men sleep more than women? Is it significant? (4 points) ii) Is there a significant tradeoff between working and sleeping? What is the estimated trade- off? (4 points) i) Now, if you want to test the significance of effect of age on sleeping, you cannot do it just on the age variable because of the square term present. In that case, you must do a F- test using restricted and full regression just as I taught you in class. Basically, you must run a model without age. The results are below: Source MS Number of obs F (3, 702) 3 5536057.79Prob>F 702 174688.978 R-squared 706 31.69 0.0000 0.1193 Adj R-squared 0.1155 417.96 Model |16608173.4 Residual 122631662 Total 139239836 705 197503.313 Root MSE sleep coef. Std. Err. (95% conf. Interval] totwrk1673395.0179371 9.33 0.000.2025562-.1321228 educ-13.88479 5.657573 -2.45 0.014 -24.99258 male90.96919 34.27441 2.65 0.00823.67657 158.2618 cons 3747.517 81.00609 46.26 0.000 3588.474 3906.56
Now, based on the two STATA outputs, suggest whether age has a significant impact on sleeping. (5 points)

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