Final answer:
The finding is consistent with Self-determination theory, which emphasizes the importance of autonomy and self-determined behavior in promoting optimal functioning and health.
Step-by-step explanation:
The finding that residents in an old age home were more active and healthier when they were given additional control over the events in their daily lives is consistent with Self-determination theory. According to this theory, when individuals have the ability to make choices and have control over their own lives, they are more likely to be motivated, satisfied, and experience improved well-being. This theory emphasizes the importance of autonomy and self-determined behavior in promoting optimal functioning and health.