regression analysis vs regression of y on x

regression analysis and regression of y on x both are nouns.

Word	Noun	Adjective	Verb	Adverb
regression analysis	Yes	No	No	No
regression of y on x	Yes	No	No	No

regression analysis (noun)	regression of y on x (noun)
the use of regression to make quantitative predictions of one variable from the values of another	the equation representing the relation between selected values of one variable (x) and observed values of the other (y); it permits the prediction of the most probable values of y