Final answer:
The cerebellum is not involved in the control of the autonomic nervous system; it is responsible for coordinating voluntary movements, balance, and posture. The hypothalamus serves as the master control center for homeostasis via the autonomic and endocrine systems.
Step-by-step explanation:
The higher brain region not involved in the control of the autonomic nervous system is d) the cerebellum. The cerebellum primarily coordinates voluntary movements, balance, and posture. While the brain stem, cerebral cortex, and hypothalamus are integral to autonomic control, the cerebellum does not have a direct role in this system. The hypothalamus, notably, is often referred to as the master control center for homeostasis and is involved in regulating both the autonomic and endocrine systems.