A research psychologist wanted to investigate the relationship between nature connectedness and environmentally friendly behaviors. Ten participants completed a "Connectedness to Nature" scale (scored from 1 to 50, where higher scores indicate a stronger bond with nature) and their weekly conservation actions (such as recycling and using public transit) were recorded over a month.
| Participant | Connectedness to Nature Score (1 to 50) | Number of weekly conservation actions |
|---|---|---|
| A | 45 | 12 |
| B | 12 | 30 |
| C | 38 | 15 |
| D | 25 | 22 |
| E | 48 | 8 |
| F | 15 | 35 |
| G | 30 | 18 |
| H | 20 | 25 |
| I | 42 | 5 |
| J | 10 | 40 |
Given that the value of ∑d2=214.5\sum d^2 = 214.5∑d2=214.5, use the formula for Spearman's rho provided below to calculate the value of rsr_srs. Show your workings.
rs=1−6(∑d2)n(n2−1) r_s = 1 - \frac{6 (\sum d^2)}{n (n^2 - 1)} rs=1−n(n2−1)6(∑d2)