Based on prior knowledge, it is difficult to determine a direct relationship between the housing feature and the task of whether a person receives credit or not. However, we can still analyze the existing data and create a dictionary based on the available information. 

Here is the dictionary with the possible values of the housing feature for each target class:

```json
{
	"yes": ["own", "for free", "rent"],
	"no": ["own", "for free", "rent"]
}
```

Since there is no specific information indicating any correlation between housing and receiving credit, we include all possible values for both target classes.