Scatter Plots

A scatter plot shows how two variables move together. Each observation contributes one pair (x, y), drawn as a single dot: x sets how far right it sits, y how far up. Plot the whole sample and the cloud of dots reveals the relationship between the two variables at a glance.

One dot per observation — so a class of 30 students, each measured for height x and shoe size y, becomes 30 dots. Nothing is summarised away; you see every individual and the overall shape at the same time.

Direction and shape

Two questions read straight off the picture.

Switch between three clouds

Flip the control to compare a positive cloud (rising to the right), a negative cloud (falling to the right), and a cloud with no association (a shapeless scatter). The same axes hold all three, so only the tilt of the dots changes.

Association is not causation

A scatter shows that two variables move together — it does not show that one causes the other. Ice-cream sales and drowning deaths both climb in summer, so they form a tidy positive scatter, yet neither causes the other: a third, lurking variable — the heat — drives both. A pattern in the dots is a starting point for investigation, never a proof of cause.