A regulatory agency (also regulatory authority, regulatory body or regulator) is a public authority or government agency responsible for exercising autonomous authority over some area of human activity in a regulatory or supervisory capacity. An independent regulatory agency is a regulatory agency that is independent from other branches or arms of the government.
Can we infer the following?
A regulatory agency (also regulatory authority, regulatory body or regulator) is a non-profit, private authority responsible for exercising autonomous authority over some area of human activity in a regulatory or supervisory capacity.

pick from the following. [I] Yes. [II] It's impossible to say. [III] No.
The answer is:
[III]