Select the correct option for each statement:
$(1)$ Hormones are non-nutrient/nutrient chemicals which act as intercellular messengers and are produced in trace amounts.
$(2)$ The posterior pituitary gland is under the direct neural/endocrine regulation of the hypothalamus.
$(3)$ The hormone produced by the posterior pituitary gland is oxytocin/prolactin.

(NON-NUTRIENT, NEURAL REGULATION, OXYTOCIN) $(1)$ Hormones are non-nutrient chemicals that act as intercellular messengers and are produced in trace amounts.
$(2)$ The posterior pituitary gland is under the direct neural regulation of the hypothalamus.
$(3)$ The hormone stored and released by the posterior pituitary gland is oxytocin (it is synthesized by the hypothalamus).