(C) 5. Consider the population regression function: sleep + Be + B, totwrk + u. where sleep is minutes spent sleeping at night per week and torwrk is total minutes worked during the week. This model is used to study whether there is a tradeoff between the time spent sleeping per week and the time spent in paid work. A random sample of 706 workers was collected. (a) Write out the sample regression function corresponding to Equation C. (____/ 2%) (b) Using ordinary least squares estimation, the following regression output is obtained: sleepi = 3586.377 -0.1507totwrk, se = (38.912) (0.0167) n = 706, R2 = 0.103 Interpret the estimated slope coefficient. (73%) 3 The newest med This is one in the C 1) (2) In the more (e) Test whether fork has any effect on sleep using the confidence interval approach of the 95% confidence level. Make sure that you set up the null and alternative hypotheses.c_169) () Based on your a priori expectation on the relationship between sleep and totwrk, test whether totwrk has any effect on sleep using the / test. Draw a diagram to illustrate how your conclusion can be reached. 189) (C) 5. Consider the population regression function: sleep + Be + B, totwrk + u. where sleep is minutes spent sleeping at night per week and torwrk is total minutes worked during the week. This model is used to study whether there is a tradeoff between the time spent sleeping per week and the time spent in paid work. A random sample of 706 workers was collected. (a) Write out the sample regression function corresponding to Equation C. (____/ 2%) (b) Using ordinary least squares estimation, the following regression output is obtained: sleepi = 3586.377 -0.1507totwrk, se = (38.912) (0.0167) n = 706, R2 = 0.103 Interpret the estimated slope coefficient. (73%) 3 The newest med This is one in the C 1) (2) In the more (e) Test whether fork has any effect on sleep using the confidence interval approach of the 95% confidence level. Make sure that you set up the null and alternative hypotheses.c_169) () Based on your a priori expectation on the relationship between sleep and totwrk, test whether totwrk has any effect on sleep using the / test. Draw a diagram to illustrate how your conclusion can be reached. 189)