A group of environmental science students investigated the relationship between water temperature and the dissolved oxygen concentration in a freshwater stream.
The table below shows the measurements taken at six different sampling locations:
| Location | Water temperature (∘C^{\circ}\text{C}∘C) | Dissolved oxygen concentration (mg/L\text{mg/L}mg/L) |
|---|---|---|
| A | 12.4 | 9.8 |
| B | 14.2 | 10.2 |
| C | 16.5 | 8.5 |
| D | 18.1 | 7.4 |
| E | 20.3 | 7.9 |
| F | 22.0 | 6.1 |
Using the data in the table, calculate the Spearman's Rank Correlation Coefficient (rsr_srs) for water temperature and dissolved oxygen 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.
