Based on prior knowledge, the relationship between BMI and the task of determining whether a person has diabetes can be analyzed as follows:

BMI is a measure of body mass index and is calculated by dividing a person's weight in kilograms by the square of their height in meters. It is commonly used to assess whether a person has a healthy body weight or is overweight or obese.

In the context of determining whether a person has diabetes, higher BMI values are generally associated with an increased risk of diabetes. This is because a higher BMI often indicates a higher percentage of body fat, which can lead to insulin resistance and eventually Type 2 diabetes. However, it is important to note that BMI alone may not be sufficient to diagnose diabetes, as other factors such as genetic predisposition, lifestyle, and overall health also play a role.

Considering this relationship, we can create a dictionary that includes typical BMI values for each target class:

```json
{
	"yes": [30.0, 32.5, 35.2, 37.8, 40.1],
	"no": [23.7, 25.8, 27.5, 29.4, 31.2]
}
```

Please note that the provided BMI values are for illustrative purposes only and should not be used as diagnostic criteria. The actual range of BMI values associated with diabetes may vary depending on the specific dataset and population being studied.