quote vs refer

quote is a noun but refer is not a noun.

Word	Noun	Adjective	Verb	Adverb
quote	Yes	No	Yes	No
refer	No	No	Yes	No

As verbs, refer is a hypernym of quote; that is, refer is a word with a broader meaning than quote:

Other hypernyms of quote include advert, bring up, cite, mention, name.

quote (noun)	refer (noun)
a punctuation mark used to attribute the enclosed text to someone else
a passage or expression that is quoted or cited

quote (verb)	refer (verb)
repeat a passage from	think of, regard, or classify under a subsuming principle or with a general group or in relation to another
refer to for illustration or proof	have as a meaning
put quote marks around	make reference to
name the price of	use a name to designate
	seek information from
	send or direct for treatment, information, or a decision
	be relevant to