Based on prior knowledge, here is a thorough analysis of the relationship between the feature "Insulin" and the task of determining whether a person has diabetes:

Insulin is a hormone that regulates the metabolism of carbohydrates and fats in the body. In the context of diabetes, Insulin plays a vital role as it helps to control blood sugar levels. Typically, individuals with diabetes have abnormalities in their Insulin levels. 

To analyze the relationship between Insulin and the task of determining whether a person has diabetes, we can examine the average Insulin levels for individuals with and without diabetes. We can also identify typical Insulin values for each target class.

Here is the dictionary generated based on my analysis:

```json
{
	"yes": [150.8, 182.6, 139.3, 196.7, 267.5],
	"no": [75.2, 94.1, 83.7, 63.9, 101.4]
}
```

Please note that these values are purely hypothetical and are being provided for illustration purposes. In a real analysis, the values would be based on actual data and further statistical techniques would be applied for a more accurate assessment.