Some marine biologists investigated the relationship between seawater depth and the concentration of dissolved organic carbon (DOC) in a sub-polar marine ecosystem.
The table below shows the measurements taken at six different sampling stations:
| Sampling Station | Depth (h h\,h in m\text{m}m) | DOC concentration (C C\,C in μmol L−1\mu\text{mol L}^{-1}μmol L−1) |
|---|---|---|
| A | 50 | 86.5 |
| B | 150 | 57.1 |
| C | 300 | 94.2 |
| D | 500 | 63.8 |
| E | 800 | 38.4 |
| F | 1200 | 42.0 |
A scatter plot of these measurements is shown below:
Using the data in the table, calculate the Spearman's Rank Correlation Coefficient (rsr_srs) for seawater depth and DOC concentration.
Use the formula:
rs=1−6∑d2n(n2−1) r_s = 1 - \frac{6 \sum d^2}{n(n^2 - 1)} rs=1−n(n2−1)6∑d2Give your answer to three decimal places.
