Based on prior knowledge, the DiabetesPedigreeFunction is a numeric variable that represents the diabetes pedigree function. The diabetes pedigree function is a function that scores the likelihood of diabetes based on family history. 

To analyze the relationship between the DiabetesPedigreeFunction and the task of determining whether a person has diabetes or not, we can examine the distribution of DiabetesPedigreeFunction values for each target class ('yes' and 'no'). Here's how we can create the dictionary:

```json
{
	"yes": [0.085, 0.325, 0.901, 1.110, 1.500],
	"no": [0.200, 0.550, 0.800, 1.000, 1.250]
}
```

In the 'yes' class, typical DiabetesPedigreeFunction values could be 0.085, 0.325, 0.901, 1.110, and 1.500. In the 'no' class, typical DiabetesPedigreeFunction values could be 0.200, 0.550, 0.800, 1.000, and 1.250.

Please note that these values are just for illustrative purposes and should be replaced with actual values from the dataset.