Final answer:
The incorrect statement regarding cost behavior equations is D, as both high-low method and regression analysis will yield the same equation with only two data points.
Step-by-step explanation:
The statement which is incorrect regarding cost behavior equations is D: If a data set only contains two data points, the high-low method and regression analysis will yield different cost behavior equations. In fact, when using only two data points, both methods will yield the exact same equation. This is because with two points, there's only one possible straight line which can connect them, indicating a direct relationship between the cost and the activity level.
Option A: The y-intercept value indeed represents total expected costs when the activity level is zero, which encompasses all fixed costs. Options B and E are also correct as they describe the characteristics and methodologies of cost behavior analysis accurately.
Option C is correct because in cases of non-linear costs, it is possible to develop multiple cost behavior equations each for different relevant ranges to approximate the actual cost behavior more precisely.