Based on prior knowledge, the relationship between BMI and the task of whether a person has diabetes or not can be analyzed as follows:

BMI is a measure of body mass based on an individual's weight and height. It is commonly used to assess whether an individual is underweight, normal weight, overweight, or obese. In the context of diabetes, high BMI values are often associated with an increased risk of developing diabetes. 

Analysis:
- In the "yes" class (people with diabetes), higher BMI values are more common compared to the "no" class (people without diabetes).
- However, it is important to note that not all individuals with high BMI values have diabetes, and there are other factors to consider in diagnosis.

Based on this analysis, the dictionary with the specific details can be generated as follows:

```json
{
	"yes": [25.0, 28.5, 30.2, 35.7, 40.1],
	"no": [21.3, 23.8, 24.6, 26.9, 29.4]
}
```

Please note that the given BMI values are just examples and should not be considered as definitive cutoffs. The values can vary depending on the specific dataset, population, and diagnostic criteria used.