1 Using the data in SLEEP75 (see also Problem 3 in Chapter 3), we obtain the estimated equation sleep = 3,840.83 - .163 totwrk – 11.71 educ – 8.70 age (235.11) (.018) + .128 age + 87.75 male (34.33) n = 706, R² = .123, R² = .117. (5.86) (11.21) (.134) 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. (i) All other factors being equal, is there evidence that men sleep more than women? How strong is the evidence? (ii) Is there a statistically significant tradeoff between working and sleeping? What is the estimated tradeoff? (iii) 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 Using the data in SLEEP75 (see also Problem 3 in Chapter 3), we obtain the estimated equation sleep = 3,840.83 - .163 totwrk – 11.71 educ – 8.70 age (235.11) (.018) + .128 age + 87.75 male (34.33) n = 706, R² = .123, R² = .117. (5.86) (11.21) (.134) 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. (i) All other factors being equal, is there evidence that men sleep more than women? How strong is the evidence? (ii) Is there a statistically significant tradeoff between working and sleeping? What is the estimated tradeoff? (iii) What other regression do you need to run to test the null hypothesis that, holding other factors fixed, age has no effect on sleeping?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Transcribed Image Text:1 Using the data in SLEEP75 (see also Problem 3 in Chapter 3), we obtain the estimated equation
sleep = 3,840.83 - .163 totwrk – 11.71 educ – 8.70 age
(235.11) (.018)
+ .128 age + 87.75 male
(34.33)
n = 706, R² = .123, R² = .117.
(5.86)
(11.21)
(.134)
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.
(i) All other factors being equal, is there evidence that men sleep more than women? How strong
is the evidence?
(ii) Is there a statistically significant tradeoff between working and sleeping? What is the estimated
tradeoff?
(iii) What other regression do you need to run to test the null hypothesis that, holding other factors
fixed, age has no effect on sleeping?
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