Based on prior knowledge, the relationship between BMI and the likelihood of having diabetes may indicate the following patterns:

- Higher BMI values are often associated with an increased risk of diabetes.
- BMI values within a certain range may indicate a higher or lower risk of diabetes. 

Now, let's create a dictionary with specific details about the relationship between BMI and the likelihood of having diabetes:

```json
{
	"yes": [30.5, 33.8, 35.2, 38.6, 40.1],
	"no": [22.1, 25.4, 26.9, 28.3, 29.7]
}
```

In this example, the "yes" class represents individuals with diabetes, while the "no" class represents individuals without diabetes. The above dictionary contains 5 typical BMI values for each class, represented as floating-point numbers. This dictionary provides a snapshot of potential BMI values for individuals with and without diabetes and can be used for further analysis or modeling.