inferential vs inference

inferential is not a noun while inference is a noun.

Word	Noun	Adjective	Verb	Adverb
inferential	No	Yes	No	No
inference	Yes	No	No	No

inferential (noun)	inference (noun)
	the reasoning involved in drawing a conclusion or making a logical judgment on the basis of circumstantial evidence and prior conclusions rather than on the basis of direct observation

inferential (adjective)	inference (adjective)
relating to or having the nature of illation or inference
derived or capable of being derived by inference
based on interpretation; not directly expressed
of reasoning; proceeding from general premisses to a necessary and specific conclusion
resembling or dependent on or arrived at by inference