by using karl pearson actual mean method
Age (year); 1 2 3 4 5
weight(kg);3 4 6 7 10
| X | Y | XY | (X-xm)2 | (Y-ym)2 |
|---|---|---|---|---|
| 1 | 3 | 3 | 4 | 9 |
| 2 | 4 | 8 | 1 | 4 |
| 3 | 6 | 18 | 0 | 0 |
| 4 | 7 | 28 | 1 | 1 |
| 5 | 10 | 50 | 4 | 16 |
| 15 | 30 | 107 | 10 | 30 |
r= Σ(X-xm) (Y- ym)/ [ Σ(X-xm)2(Y- ym)2]0.5
= 17/17.32
= 0.9815
where xm is means for 'X' and ym is mean for 'Y'