Question

In: Math

obs gpa iq gender concept 1 7.94 121 2 69 2 8.292 120 2 71 3...

obs     gpa     iq      gender  concept
1       7.94    121     2       69
2       8.292   120     2       71
3       4.643   111     2       44
4       7.47    106     2       44
5       8.882   108     1       69
6       7.585   98      2       72
7       7.65    121     2       53
8       2.412   75      2       26
9       6       109     1       47
10      8.833   122     2       64
11      7.47    109     1       46
12      5.528   106     1       62
13      7.167   105     2       53
14      7.571   89      1       68
15      4.7     85      1       62
16      8.167   117     1       50
17      7.822   119     1       46
18      7.598   98      1       64
19      4       100     2       35
20      6.231   104     1       49
21      7.643   129     2       50
22      1.76    98      2       43
24      6.419   109     1       44
26      9.648   128     2       53
27      10.7    126     1       72
28      10.58   123     2       51
29      9.429   120     2       65
30      8       96      2       57
31      9.585   126     2       67
32      9.571   134     1       68
33      8.998   124     1       51
34      8.333   122     1       53
35      8.175   104     2       60
36      8       118     2       46
37      9.333   112     1       62
38      9.5     125     2       67
39      9.167   114     2       61
40      10.14   111     1       65
41      9.999   133     1       55
43      10.76   106     2       95
44      9.763   109     2       72
45      9.41    121     2       65
46      9.167   119     2       84
47      9.348   109     2       43
48      8.167   88      2       55
50      3.647   82      2       41
51      3.408   89      1       56
52      3.936   111     2       30
53      7.167   104     2       71
54      7.647   114     2       59
55      .53     81      2       16
56      6.173   74      2       42
57      7.295   101     2       72
58      7.295   123     1       65
59      8.938   124     1       55
60      7.882   96      1       32
61      8.353   118     2       68
62      5.062   102     2       45
63      8.175   121     2       65
64      8.235   115     2       56
65      7.588   113     2       71
68      7.647   112     2       47
69      5.237   79      1       28
71      7.825   96      2       48
72      7.333   95      1       64
74      9.167   100     2       90
76      7.996   106     2       56
77      8.714   101     1       65
78      7.833   102     1       63
79      4.885   88      2       52
80      7.998   118     1       74
83      3.82    89      2       56
84      5.936   88      1       73
85      9       93      1       65
86      9.5     122     1       88
87      6.057   102     2       52
88      6.057   101     1       61
89      6.938   117     2       39

The data from data216.dat contains information on 78 seventh-grade students. We want to know how well each of IQ score and self-concept score predicts GPA using least-squares regression. We also want to know which of these explanatory variables predicts GPA better. Give numerical measures that answer these questions. (Round your answers to three decimal places.)

(Regressor: IQ) R 2 =

(Regressor: Self-Concept) R 2 =

Which variable is the better predictor?

-IQ

-Self Concept

Solutions

Expert Solution

Solution:

We can use the excel regression data analysis tool to find R-square values. The excel output is given below:

(Regressor: IQ)

(Regressor: Self-Concept)

Which variable is the better predictor?

Answer: IQ

Because R-square is greater when IQ is regressor as compared when Self-concept is regressor


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