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Consider the following data set:
Y1
Y2
X1
X2
X3
X4
125
113
13
18
25
11
158
115
39
59
30
207
126
52
50
62
53
182
119
29
43
196
107
37
65
56
175
135
64
19
79
49
145
111
27
17
14
144
130
22
23
31
160
122
34
114
51
58
40
151
121
15
161
105
41
200
131
75
36
173
123
44
48
20
162
120
155
109
38
230
134
28
153
124
33
Where:
Y1 - A measure of success in graduate school.
Y2 - Score of grad school on a major review paper.
X1 - A measure of intellectual ability.
X2 - A measure of "work ethic."
X3 - A second measure of intellectual ability.
X4 - A measure of spatial ability.
Write down the linear equation for both regressions
Which factors seems to have significant impact on success in graduate school
Which factors have significant impact on school ranking?
Are those the same factors? How do you interpret the discrepancy?
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