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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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 week
64 14 1 3448 2580 0 totwrk: mins worked per week
41 12 1 4063 1205 0 yngkid: =3 if children <3 present
35 12 1 3180 2113 1
47 13 1 2928 3608 0 Consider the following model:
32 17 1 3368 2353 0 sleep = Î²₀ + Î²₁ totwrk +Î²₂ educ + Î²₃ age + Î²₄age² + Î²₅ yngkid + Î²₆ male +u
30 15 1 3018 2851 0 a. Write down a model that allows the variance ofu to differ between men and women. The variance should not dependon other factors.
43 8 1 1575 6415 0 b. Is the variance of u higher for men or forwomen?
23 16 0 3295 370 0 c. Is the variance of u statistically different formen and for women?
24 16 1 3798 2438 0
48 5 1 3008 2693 0
33 12 1 3248 2526 0
23 12 1 3683 2950 0
46 17 1 3201 3003 0
37 14 1 2580 4011 1
53 12 1 3420 2300 0
45 17 1 3090 1543 0
46 17 1 2760 3473 0
40 13 1 2880 3276 0
53 12 1 3470 2506 0
29 13 1 2673 2651 0
29 12 1 2820 4580 0
53 12 1 2873 3588 0
28 13 1 1905 3418 0
35 12 0 2926 2250 0
36 12 1 2603 2638 1

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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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 week
64	14	1	3448	2580	0	totwrk: mins worked per week
41	12	1	4063	1205	0	yngkid: =3 if children <3 present
35	12	1	3180	2113	1
47	13	1	2928	3608	0	Consider the following model:
32	17	1	3368	2353	0		sleep = Î²₀ + Î²₁ totwrk +Î²₂ educ + Î²₃ age + Î²₄age² + Î²₅ yngkid + Î²₆ male +u
30	15	1	3018	2851	0	a. Write down a model that allows the variance ofu to differ between men and women. The variance should not dependon other factors.
43	8	1	1575	6415	0	b. Is the variance of u higher for men or forwomen?
23	16	0	3295	370	0	c. Is the variance of u statistically different formen and for women?
24	16	1	3798	2438	0
48	5	1	3008	2693	0
33	12	1	3248	2526	0
23	12	1	3683	2950	0
46	17	1	3201	3003	0
37	14	1	2580	4011	1
53	12	1	3420	2300	0
45	17	1	3090	1543	0
46	17	1	2760	3473	0
40	13	1	2880	3276	0
53	12	1	3470	2506	0
29	13	1	2673	2651	0
29	12	1	2820	4580	0
53	12	1	2873	3588	0
28	13	1	1905	3418	0
35	12	0	2926	2250	0
36	12	1	2603	2638	1