Suppose you think that there are diminishing returns to studying. Test this hypothesis by opening up the file survey data.xls and creating a new variable Hours study squared. Regress GPA on Hours studied and Hours studied squared. Explain how Hours studied affects GPA, and comment on the statistical significance of the indepen- dent variables at the 5 percent level. Where does Hours studied reach a maximum? Now estimate a more fully specified model by regressing GPA on Hours studied Hours studied squared, Work, Video game, Texts, and Male. Interpret the marginal effect of Hours studied, and comment on the statistical significance of all of the independent variables at the 5 percent level.

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Suppose you think that there are diminishing
returns to studying. Test this hypothesis by opening
up the file survey data.xls and creating a new
variable Hours study squared.
Regress GPA on Hours studied and Hours studied
squared. Explain how Hours studied affects GPA,
and comment on the statistical significance of the
indepen- dent variables at the 5 percent level.
Where does Hours studied reach a maximum?
Now estimate a more fully specified model by
regressing GPA on Hours studied Hours studied
squared, Work, Video game, Texts, and Male.
Interpret the marginal effect of Hours studied, and
comment on the statistical significance of all of the
independent variables at the 5 percent level.
Transcribed Image Text:Suppose you think that there are diminishing returns to studying. Test this hypothesis by opening up the file survey data.xls and creating a new variable Hours study squared. Regress GPA on Hours studied and Hours studied squared. Explain how Hours studied affects GPA, and comment on the statistical significance of the indepen- dent variables at the 5 percent level. Where does Hours studied reach a maximum? Now estimate a more fully specified model by regressing GPA on Hours studied Hours studied squared, Work, Video game, Texts, and Male. Interpret the marginal effect of Hours studied, and comment on the statistical significance of all of the independent variables at the 5 percent level.
id
GPA
Hours Studied
Work
Video Games
Тexts
Male
36
2.90
3
20
50
37
2.57
6
6
3
1000
1
38
1.96
3
30
10
1200
39
2.43
5
10
5
850
40
3.27
8.
200
41
2.89
100
42
3.29
10
15
2
300
43
2.90
20
250
44
2.99
7
20
4
100
45
2.33
3
20
14
1100
1
46
3.82
18
50
47
3.40
8
20
200
1
48
2.28
20
18
950
1
49
3.68
8
5
3
250
1
50
2.92
3.5
10
200
51
3.31
7
10
4
50
52
3.98
30
50
53
3.82
40
5
2
100
54
2.85
7
10
500
55
2.95
6
20
100
1
56
3.78
12
10
50
1
57
2.63
40
5
700
1
58
2.63
6.5
10
600
1
59
3.18
10
5
500
1
60
3.45
14
10
3
100
61
3.58
9
100
62
2.84
4
20
600
1
63
2.70
4.5
20
6
800
64
2.93
8
10
50
1
65
3.29
9
100
66
2.95
4.5
200
67
3.13
6.
10
50
1
68
2.54
3.5
900
69
2.88
9.
10
550
70
2.41
4.5
15
10
1000
1
Transcribed Image Text:id GPA Hours Studied Work Video Games Тexts Male 36 2.90 3 20 50 37 2.57 6 6 3 1000 1 38 1.96 3 30 10 1200 39 2.43 5 10 5 850 40 3.27 8. 200 41 2.89 100 42 3.29 10 15 2 300 43 2.90 20 250 44 2.99 7 20 4 100 45 2.33 3 20 14 1100 1 46 3.82 18 50 47 3.40 8 20 200 1 48 2.28 20 18 950 1 49 3.68 8 5 3 250 1 50 2.92 3.5 10 200 51 3.31 7 10 4 50 52 3.98 30 50 53 3.82 40 5 2 100 54 2.85 7 10 500 55 2.95 6 20 100 1 56 3.78 12 10 50 1 57 2.63 40 5 700 1 58 2.63 6.5 10 600 1 59 3.18 10 5 500 1 60 3.45 14 10 3 100 61 3.58 9 100 62 2.84 4 20 600 1 63 2.70 4.5 20 6 800 64 2.93 8 10 50 1 65 3.29 9 100 66 2.95 4.5 200 67 3.13 6. 10 50 1 68 2.54 3.5 900 69 2.88 9. 10 550 70 2.41 4.5 15 10 1000 1
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