Find the correlation between x and y (round to two decimals), where (x, y): (4,4)(3,5)(3,7)(6,9)(6,8)(7,0)
Find the correlation between x and y (round to two decimals), where (x, y): (4,4)(3,5)(3,7)(6,9)(6,8)(7,0)
Homework Answers
Solution:
| X | Y | XY | X^2 | Y^2 |
| 4 | 4 | 16 | 16 | 16 |
| 3 | 5 | 15 | 9 | 25 |
| 3 | 7 | 21 | 9 | 49 |
| 6 | 9 | 54 | 36 | 81 |
| 6 | 8 | 48 | 36 | 64 |
| 7 | 0 | 0 | 49 | 0 |
| n | 6 |
| sum(XY) | 154.00 |
| sum(X) | 29.00 |
| sum(Y) | 33.00 |
| sum(X^2) | 155.00 |
| sum(Y^2) | 235.00 |
| Numerator | -33.00 |
| Denominator | 169.02 |
| r | -0.1952 |
| r square | 0.0381 |
| Xbar(mean) | 4.8333 |
| Ybar(mean) | 5.5000 |
| SD(X) | 1.5723 |
| SD(Y) | 2.9861 |
| b | -0.3708 |
| a | 7.2921 |
r = -0.20
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