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VisualizationsCore Machine Learning

Correlation & Regression

Click through six scatter patterns, from a tight upward line to a random cloud, and watch the correlation score r move between −1 and +1.

r = 1.00
00224466
−10+1

Data points cluster tightly around a line rising from left to right. High positive association.

Points show an upward trend, but are highly scattered. Pearson r is positive but moderate.

Points cluster tightly around a line falling from left to right. High negative association.

Points appear as a random cloud with no discernible linear slope. Pearson r is close to 0.

A strong quadratic relationship exists, but because it is symmetric, Pearson r is close to 0! Correlation only measures linear trends.

A single unusual data point (outlier) dramatically drags down the correlation coefficient.

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Patterns shown to the learner