Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data.
ŷ = b₀ + b₁x |
y | x |
16 | 5 |
21 | 10 |
8 | 6 |
28 | 12 |
53 | 14 |
6 |
The predicted value of y for x = 12 is, |
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a |
34.66 |
|||
b |
35.37 |
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c |
36.26 |
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d |
37.16 |
7 |
The prediction error for x = 12 is, |
||
a |
-4.96 |
||
b |
-5.32 |
||
c |
-6.14 |
||
d |
-7.37 |
8 |
Sum of prediction errors is, |
||
a |
1.03 |
||
b |
0.08 |
||
c |
0 |
||
d |
-0.04 |
9 |
Sum of squared errors (SSE) is, |
||
a |
272.74 |
||
b |
280.38 |
||
c |
288.23 |
||
d |
296.30 |
10 |
The variance of the prediction error is, |
|||
a |
90.9144 |
|||
b |
93.6418 |
|||
c |
96.4511 |
|||
d |
99.3446 |
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