Final answer:
Adiponectin is not directly influenced by a specific hormone produced by the pancreas for its production; it is produced by adipose tissue and is involved in metabolic regulation.
Step-by-step explanation:
The hormone that signals the pancreas to make Adiponectin is not explicitly mentioned among the hormones commonly associated with pancreatic function and glucose metabolism, such as insulin, glucagon, or glucose-dependent insulinotropic peptide. These hormones primarily regulate blood-glucose levels, with insulin facilitating the uptake of glucose by the body's cells and glucagon stimulating the conversion of glycogen to glucose. As for Adiponectin, it is a hormone produced by adipose tissue rather than the pancreas and is involved in regulating glucose levels and fatty acid breakdown. Although leptin, another hormone produced by adipose tissue, is related to hunger and energy expenditure, it is not directly responsible for the production of Adiponectin by the pancreas.