Based on prior knowledge, the relationship between BMI and the likelihood of having diabetes can be analyzed as follows:

1. BMI for individuals with diabetes is typically higher than for individuals without diabetes. This is because obesity is a known risk factor for developing diabetes.

2. Individuals with a BMI in the range of 25 to 29.9 are considered overweight, and they are more likely to have diabetes compared to individuals with a BMI below 25.

3. Individuals with a BMI greater than or equal to 30 are considered obese, and they are at a significantly higher risk of having diabetes.

Given this analysis, we can create the requested dictionary with specific BMI values for each target class:

```json
{
	"yes": [30.1, 35.4, 32.7, 29.8, 31.5],
	"no": [23.5, 22.1, 24.9, 25.6, 25.2]
}
```

Note: The specific BMI values provided above are for illustrative purposes only and do not represent an exhaustive list of possible values.