Based on prior knowledge, the feature "capital-gain" represents the capital gain of an individual in a year. Capital gain refers to the profit made from selling a capital asset, such as stocks, bonds, or real estate. In the context of this task, the feature "capital-gain" can provide insights into the individual's financial status and potentially indicate whether they earn more than $50,000 per year.

To analyze the relationship between the feature "capital-gain" and the task, we can examine typical values of "capital-gain" for each target class ("no" and "yes").

For individuals who do not earn more than $50,000 per year ("no" class), typical capital gain values may be lower and could indicate limited income from capital assets. Possible typical capital-gain values for the "no" class could be:

- 0
- 50
- 100
- 200
- 500

For individuals who earn more than $50,000 per year ("yes" class), typical capital gain values may be higher and indicate higher income from capital assets. Possible typical capital-gain values for the "yes" class could be:

- 1000
- 2000
- 5000
- 10000
- 20000

Based on this analysis, the dictionary representation of the relationship between the feature "capital-gain" and the task would be:

```json
{
	"no": [0, 50, 100, 200, 500],
	"yes": [1000, 2000, 5000, 10000, 20000]
}
```