∴ correlationlabA little data. A lot of discovery.How to read r ↗
THE INTERACTIVE STATISTICS LAB

Find the pattern.
Question the connection.

Some things move together. That doesn’t always mean they’re connected.
Explore the difference, then put your own numbers to the test.

A relationship worth exploring

Choose a case. Look for a pattern. Ask what could explain it.

20 ILLUSTRATIVE EXAMPLES

PEARSON’S r
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Inspect the example data
THE 30-SECOND GUIDE

Meet the correlation coefficient.

Pearson’s r measures the direction and strength of a linear relationship. It ranges from −1 to +1.

−1 Move in opposite directions0 No linear pattern+1 Move together

Strength is about distance from zero. A negative correlation can be just as strong as a positive one.

A pattern is a starting point. Correlation alone never proves cause and effect. Confounding variables, shared trends, chance, and outliers can all create misleading patterns.

In this lab: |r| ≥ 0.70 is “strong”; |r| ≤ 0.30 is “weak”; values between are “moderate.” These are teaching conventions, not universal rules. A weak Pearson correlation can hide a strong curved relationship.