Definitions for "Homoscedasticity"
A scatter-plot or residual plot shows homoscedasticity if the scatter in vertical slices through the plot does not depend much on where you take the slice
Time-independent variance. The GARCH Toolbox also refers to homoscedasticity as constant conditional variance.
The variance of the Y scores in a correlation are uniform for the values of the X scores. In other words, the Y scores are equally spread above and below the regression line.