Based on prior knowledge, education level can be a significant indicator of income. Higher levels of education are generally associated with higher earning potential. However, the relationship between education and income may not be linear, as certain fields or industries may have variations.

To analyze the relationship between education and earning more than $50,000 per year, we can examine the data and identify the education levels that are more likely to be associated with higher income.

Here's the dictionary based on the analysis:

```json
{
	"no": ["10th", "11th", "9th", "7th-8th", "5th-6th", "12th", "1st-4th", "Preschool"],  
	"yes": ["HS-grad", "Assoc-acdm", "Some-college", "Bachelors", "Masters", "Prof-school", "Doctorate"]
}
```

The dictionary shows the education levels that are more likely to be associated with earning less than or equal to $50,000 per year (`no` class) and earning more than $50,000 per year (`yes` class).

Note: It's important to interpret the analysis results within the context of the dataset and the specific task at hand. The above analysis and resulting dictionary are based on assumptions and generalizations, and may not represent the full complexity of the relationship between education and income. Further statistical analysis or machine learning modeling may provide more accurate insights.