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प्रश्न
Find Karl Pearson’s coefficient of correlation between the variables X and Y for the following data
| X | 11 | 7 | 9 | 5 | 8 | 6 | 10 |
| Y | 10 | 8 | 6 | 5 | 9 | 7 | 11 |
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उत्तर
Let X = xi , Y = yi
| Total | ||||||||
| `x_i` | 11 | 7 | 9 | 5 | 8 | 6 | 10 | 56 |
| `y_i` | 10 | 8 | 6 | 5 | 9 | 7 | 11 | 56 |
| `x_i^2` | 121 | 49 | 81 | 25 | 64 | 36 | 100 | 476 |
| `y_i^2` | 100 | 64 | 36 | 25 | 81 | 49 | 121 | 476 |
| `x_iy_i` | 110 | 56 | 54 | 25 | 72 | 42 | 110 | 469 |
From the table, we have
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