If I wanted to determine whether there was a relation between age and HDL cholesterol and randomly selected 5 patients and obtained the following data. How would I compute the linear correlation coefficient and would a linear relation exist between age and HDL ?cholesterol?

n                   n                                     Age              HDL Cholesterol

3    0.997     17   0.482                         38                        57

4    0.950     18   0.468                         46                        34

5    0.878     19   0.456                         61                        42

6    0.811     20   0.444                         49                        55

7    0.754      21  0.433                         44                        28

8    0.707      22  0.423

9    0.666      23  0.413

10  0.632      24  0.404

11  0.602      25  0.396

12  0.576      26  0.388

13  0.553      27  0.381

14  0.532      28  0.374

15  0.514      29  0.367

16  0.497      30  0.361