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  1. mathematics
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  3. age educ male sleep totwrk yngkid

age educ male sleep totwrk yngkid 32 12 1 3113 3438 0 age: age in year 31 14 1 2920 5020 0 educ: years of schooling 44 17 1 2670 2815 0 male: =1 if male 30 12 0 3083 3786 0 sleep: mins sleep at night, per...

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Verified Solution

Question

Statistics

ageeducmalesleeptotwrkyngkid
32121311334380age: age in year
31141292050200educ: years of schooling
44171267028150male: =1 if male
30120308337860sleep: mins sleep at night, per week
64141344825800totwrk: mins worked per week
41121406312050yngkid: =3 if children <3 present
35121318021131
47131292836080Consider the following model:
32171336823530sleep = β0 + β1 totwrk +β2 educ + β3 age + β4age2 + β5 yngkid + β6 male +u
30151301828510a. Write down a model that allows the variance ofu to differ between men and women. The variance should not dependon other factors.
4381157564150b. Is the variance of u higher for men or forwomen?
2316032953700c. Is the variance of u statistically different formen and for women?
24161379824380
4851300826930
33121324825260
23121368329500
46171320130030
37141258040111
53121342023000
45171309015430
46171276034730
40131288032760
53121347025060
29131267326510
29121282045800
53121287335880
28131190534180
35120292622500
36121260326381

Answer & Explanation Solved by verified expert
4.0 Ratings (814 Votes)
a We have been given with the data set and we need to find thevariance when it is only dependent on genderTo check it what should we do We should develop a model when there is established presence ofmale Clearly this occur for all case where male1As per the question the variance of residual depends on genderonlyor MathematicallyThis can be interpreted as the variance being equal tofor female and for maleThis can be a suitable model dependent only on genderb Now we need to check if the variance for male is higher incomparison to female To do so we will first of all run the regression    See Answer
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