Question
For the following scores, find the regression equation for predicting Y from X X Y 3...
For the following scores, find the regression equation for predicting Y from X X Y 3 8 6 4 3 5 3 5 5 3
Homework Answers
Answer #1
Solution :
| X | Y | XY | X^2 | Y^2 |
| 3 | 8 | 24 | 9 | 64 |
| 6 | 4 | 24 | 36 | 16 |
| 3 | 5 | 15 | 9 | 25 |
| 3 | 5 | 15 | 9 | 25 |
| 5 | 3 | 15 | 25 | 9 |
| n | 5 |
| sum(XY) | 93.00 |
| sum(X) | 20.00 |
| sum(Y) | 25.00 |
| sum(X^2) | 88.00 |
| sum(Y^2) | 139.00 |
| Numerator | -35.00 |
| Denominator | 52.92 |
| r | -0.6614 |
| r square | 0.4375 |
| Xbar(mean) | 4.0000 |
| Ybar(mean) | 5.0000 |
| SD(X) | 1.2649 |
| SD(Y) | 1.6733 |
| b | -0.8750 |
| a | 8.5000 |
The regression equation,
= a + bx
= 8.50 + (-0.875)x
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