Final answer:
The amygdala, within the limbic lobe, is responsible for generating stress responses through its connection with the hypothalamus.
Step-by-step explanation:
The region of the limbic lobe responsible for generating stress responses via the hypothalamus is the amygdala. This group of nuclei in the medial region of the temporal lobe influences the state of hypothalamic activity based on emotional state. For instance, during moments of anxiety or fear, the amygdala sends signals to the hypothalamus that can activate the sympathetic fight-or-flight response and stimulate the release of stress hormones through the control of the endocrine system.