# How to interpret this scatter plot?

I am simulating a population of binary stars by generating many samples of orbital parameters. I'm investigating the relationship between the inclination of the orbit and the fraction of the acceleration* which is along the line of sight to the orbit. I produced this plot:
To me, it seems clear that there is some relationship between these quantities: the higher the inclination, the higher the y-value below which most of the points for that inclination are concentrated. I can clearly see a line on the border between the low and high density of points. It looks like a linear relationship that got "filled in" below the line, and above it, we have a few random points. However, this is a really unconcise way to describe it and doesn't help me understand the relationship between the parameters. Is there a name, description, or mathematical statement of this type of relationship that would be helpful? Or am I just wishing for a pattern where there isn't one?

*change in velocity over a certain time interval

• Unfortunately, your plot obscures any relationship. It might even suggest an incorrect relationship. (For instance, if you simulate relatively few small inclinations, the apparent absence of high accelerations there could arise merely from a lack of samples.) You need to apply transparency, make the points much smaller, or use a technique like hexbin plots in order to see these data.
– whuber
Commented Jul 6, 2021 at 14:11
• @whuber thank you, I just made the points smaller as well as applying transparency Commented Jul 6, 2021 at 14:16
• You could try some form of nonparametric regression, or an alternative visualization that could help is vertical stacked histograms/density estimators, as used at stats.stackexchange.com/questions/428445/… Commented Jul 7, 2021 at 0:37