Binned Scatter Plot

plot quantiles of y given quantiles of x.

With the default settings, BINNED_PLOT(X,Y) splits vector X into bins of approximately equal size, and plots each median against the median of the corresponding Y-values, as well as their inter-quartile range. X and Y must have the same number of rows or columns.

This is useful to visualize two-dimensional distributions.

Options include e.g.: plotting different quantiles; means/variances instead of quantiles; varying the number of bins; and density-dependent coloring.

Example:
x=0:0.1:20;
y=[sin(x); cos(x)] +randn(2,201);
binned_plot(x,y)