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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?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
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Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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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 + Bzeduc + 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 31? (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? (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 other factors 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 equation sleep = 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 = 0.117 The variable sleep is total minutes per week spent sleeping at night, totwrk is total weekly minutes spent 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? How strong is the evidence? (b) Is there a statistically significant tradeoff between working and sleeping? What is the estimated tradeoff? (c) What other regression do you need to run to test the null hypothesis that, holding other factors fixed, age has no effect on sleeping? 1
Transcribed Image Text: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 + Bzeduc + 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 31? (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? (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 other factors 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 equation sleep = 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 = 0.117 The variable sleep is total minutes per week spent sleeping at night, totwrk is total weekly minutes spent 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? How strong is the evidence? (b) Is there a statistically significant tradeoff between working and sleeping? What is the estimated tradeoff? (c) What other regression do you need to run to test the null hypothesis that, holding other factors fixed, age has no effect on sleeping? 1
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