I have a scatter graph with a number of points that over lap. How do I show
them so that the reader can tell there are multiple points.
a) "Jittering", which is the name for putting a small random variation
in the data to break up the exact values. Obviously you want it to be as
small as possible while still exposing the hidden points
b) a non-random variation, moving the hidden points exactly and
systematically away from the first point and each other. This can create
a pattern that lets you show the first point as the one which is on the
right spot
c) A different symbol for multiple points, 1, 2, 3 etc., with a legend
to explain what the points mean
d) a bubble graph, with the bubbles proportional in area to the number
of overlapping points