condition found in a type of scatter graph; also known as constant variance. It is one of the assumptions required in a REGRESSION ANALYSIS in order to make valid statistical inferences about population relationships.Homoscedasticity requires that the standard deviation and variance of the error terms (μ) are constant for all x , and that the error terms are drawn from the same population. This indicates that there is a uniform scatter or dispersion of data points about the regression line. If the assumption does not hold , the accuracy of the b coefficient is open to question.