Based on my prior knowledge, the feature "race" can potentially have a relationship with the target variable "Does this person earn more than 50000 dollars per year?". There have been studies that have shown that there can be wage disparities based on race in certain countries.

To thoroughly analyze the relationship between the feature "race" and the target variable, we would need access to a dataset containing information about individuals' race and their income. By comparing the income distribution across different racial groups, we could then determine if there are any racial disparities in income levels.

Without access to such data, we can make an assumption and provide a general analysis based on existing knowledge. Please note that this analysis is based on general trends and may not necessarily hold true for all individuals or regions.

```json
{
	"no": ["Black", "Asian-Pac-Islander", "Other", "Amer-Indian-Eskimo"], 
	"yes": ["White"]
}
```

In this analysis, I assume that individuals belonging to the "White" racial group have a higher likelihood of earning more than $50,000 per year compared to individuals belonging to the other racial groups. Again, it's essential to note that this analysis is based on general trends and does not reflect the situation of every individual.