Analysis of variance and regression are similar in the sense that

(a) They both assume a quantitative response variable.

(b) They both have F tests for testing that the response variable is statistically independent of the explanatory variable(s).

(c) For inferential purposes, they both assume that the response variable y is normally distributed with the same standard deviation at all combinations of levels of the explanatory variable(s).

(d) They both provide ways of partitioning the variation in y into explained and unexplained components.