regress vs change by reversal

regress is a noun but change by reversal is not a noun.

Word	Noun	Adjective	Verb	Adverb
regress	Yes	No	Yes	No
change by reversal	No	No	Yes	No

As verbs, change by reversal is a hypernym of regress; that is, change by reversal is a word with a broader meaning than regress:

Other hypernyms of regress include reverse, turn.

regress (noun)	change by reversal (noun)
returning to a former state
the reasoning involved when you assume the conclusion is true and reason backward to the evidence

regress (verb)	change by reversal (verb)
go back to bad behavior	change to the contrary
get worse or fall back to a previous condition
go back to a previous state
go back to a statistical means