For a set of data: x = (0,1,2,3,4,5,6) and y=(36, 28, 25, 24, 23, 21, 19),...
For a set of data: x = (0,1,2,3,4,5,6) and y=(36, 28, 25, 24, 23, 21, 19), is it wise to use a linear regression to extrapolate data for x = 50?
Solution:
Since the coefficient of determination is 0.8582, the linear model is a reasonably good fit for the data, so extrapolation for any x-value is acceptable.
What is wrong with this solution?
Homework Answers
since x=50 falls very far from range of x values on which the coefficient of determination has been calculated, we do not if same trend will continue at precinct of x=50.
Extrapolation is never a good idea since we do not know the if relation between variables remain same for all data values
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GPA
Hours
3.24
19
3.1
21
3.24
18
2.61
30
3.03
23
3.37
10
1.6
36
3.2
10
2.96
13
2.18
31
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33
2.95
4
2.72
25
3.05
21
3.45
8
2.49
27
3.62
11
2.33
29
2.36
30
3.28
10
3.35
15
2.64
18
2.88
24
2.02
29
2.6
22
3.18
21
3.31
4
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Hours
3.24
19
3.1
21
3.24
18
2.61
30
3.03
23
3.37
10
1.6
36
3.2
10
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27
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18
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24
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