Based on prior knowledge, it is important to note that race should not be the sole factor in determining whether a person earns more than 50000 dollars per year. However, we can analyze the relationship between race and income to understand any potential patterns.

To analyze the relationship between the race feature and the task of earning more than 50000 dollars per year, we can examine the distribution of race categories among the target classes.

Here's the analysis in the form of a dictionary:

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

In the "no" category, we can see that individuals who are Black, Asian-Pac-Islander, Other, or Amer-Indian-Eskimo are more likely to earn less than 50000 dollars per year. On the other hand, the "yes" category indicates that individuals who are White are more likely to earn over 50000 dollars per year.

Please note that this analysis is based solely on the relationship between race and income in the given dataset. Other factors, such as education level, occupation, and experience, should be considered to obtain a more accurate prediction of someone's income.