Some students investigated the relationship between altitude and the mean leaf surface area of a subalpine plant species, Ranunculus adoneus.
The table below shows the measurements taken at six different locations:
| Location | Altitude (m\text{m}m) | Mean leaf surface area (cm2\text{cm}^2cm2) |
|---|---|---|
| A | 3400 | 4.2 |
| B | 3250 | 4.8 |
| C | 3100 | 5.5 |
| D | 2950 | 6.8 |
| E | 2800 | 6.2 |
| F | 2650 | 7.4 |
Using the data in the table, calculate the Spearman's Rank Correlation Coefficient (rsr_srs) for altitude and mean leaf surface area.
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.
