Final answer:
The rule where a married couple establishes an independent residence is called neolocal residence, but other patterns include patrilocal and matrilocal residences, depending on societal lineage practices.
Step-by-step explanation:
The rule whereby a married couple establishes their residence is called neolocal residence. This is a postmarital residence pattern where the newly married couple sets up an independent household that is not connected to the family of either spouse. It is typically associated with societies that follow bilateral descent. However, there are other postmarital residence patterns as well, such as patrilocal residence, where the couple lives with or near the groom’s family, and matrilocal residence, which involves the couple living with or near the bride’s family. These postmarital residence rules vary based on the society’s lineage practices and may be influenced by economic or familial needs.