1. The following model is a simplified version of the multiple regression model used by Biddle andHamermesh (1990) to study the tradeoff between time spent sleeping and working and to lookat other factors affecting sleep:sleep = Bo + B1totwrk + Bzeduc + B3age + u,where sleep and totwrk (total work) are measured in minutes per week and educ and age aremeasured in years.(a) If adults trade off sleep for work, what is the sign of 31?(b) What signs do you think 32 and B3 will have?(c) Using the data in SLEEP75.csv, the estimated equation issleep = 3638.25 – 0.148totwrk – 11.13educ + 2.20age,n = 706R = 0.113.If someone works five more hours per week, by how many minutes is sleep predicted to fall?Is this a large tradeoff?(d) Discuss the sign and magnitude of the estimated coefficient on educ.(e) Would you say totwrk, educ, and age explain much of the variation in sleep? What otherfactors might affect the time spent sleeping? Are these likely to be correlated with totwrk?2. Using the same data of previous problem (SLEEP75.csv), we obtain the estimated equationsleep = 3840.83 – 0.163totwrk – 11.71educ - 8.70age +0.128age? + 87.75male,(235.11)(.018)(5.86)(11.21)(.134)(34.33)n = 706,R2 = 0.123,R = 0.117The variable sleep is total minutes per week spent sleeping at night, totwrk is total weekly minutesspent working, educ and age are measured in years, and male is a gender dummy.(a) All other factors being equal, is there evidence that men sleep more than women? Howstrong is the evidence?(b) Is there a statistically significant tradeoff between working and sleeping? What is theestimated tradeoff?(c) What other regression do you need to run to test the null hypothesis that, holding otherfactors fixed, age has no effect on sleeping?1

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1. The following model is a simplified version of the multiple regression model used by Biddle and Hamermesh (1990) to study the tradeoff between time spent sleeping and working and to look at other factors affecting sleep: sleep = Bo + B1totwrk+ B2educ + B3age + u, where sleep and totwrk (total work) are measured in minutes per week and educ and age are measured in years. (a) If adults trade off sleep for work, what is the sign of B1? (b) What signs do you think 32 and B3 will have? (c) Using the data in SLEEP75.csv, the estimated equation is sleep = 3638.25 - 0.148totwrk - 11.13educ+2.20age, n = 706 R = 0.113. If someone works five more hours per week, by how many minutes is sleep predicted to fall? Is this a large tradeoff?

1. The following model is a simplified version of the multiple regression model used by Biddle and Hamermesh (1990) to study the tradeoff between time spent sleeping and working and to look at other factors affecting sleep: sleep = Bo + B1totwrk+ B2educ + B3age + u, where sleep and totwrk (total work) are measured in minutes per week and educ and age are measured in years. (a) If adults trade off sleep for work, what is the sign of B1? (b) What signs do you think 32 and B3 will have? (c) Using the data in SLEEP75.csv, the estimated equation is sleep = 3638.25 - 0.148totwrk - 11.13educ+2.20age, n = 706 R = 0.113. If someone works five more hours per week, by how many minutes is sleep predicted to fall? Is this a large tradeoff?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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