Based on prior knowledge, we can analyze the relationship between BMI and the likelihood of having diabetes. Generally, individuals with higher BMIs are more likely to have diabetes. However, it is important to consider that BMI alone may not be a definitive indicator, as there are other factors that contribute to the development of diabetes.

Here is a dictionary detailing the relationship between BMI and the likelihood of having diabetes:

```json
{
	"yes": [25.5, 27.8, 30.2, 33.6, 35.9], 
	"no": [18.9, 21.4, 23.1, 24.8, 26.3]
}
```

In this dictionary, the "yes" key represents individuals with diabetes and the "no" key represents individuals without diabetes. The values for each key are a list of typical BMI values for each category. Please note that these values are provided as examples and may not be exhaustive or representative of the entire range of possible BMI values.