Correlation Coefficient
Pearson r for any set of (x, y) pairs.
Amortization schedule
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Growth over time
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Introduction
Correlation Coefficient — Pearson r for any set of (x, y) pairs. Enter Points (x,y per line) to get an instant, accurate result.
Formula
Pearson correlation coefficient r = (nΣxy − ΣxΣy) / √((nΣx² − (Σx)²)(nΣy² − (Σy)²)).
Step-by-step
- Enter the Points (x,y per line).
- Click Calculate to see your result instantly.
Real-world example
Example: With the defaults shown above, the Correlation Coefficient gives Correlation: 0.9879.
Frequently Asked Questions
What does an r value close to 1 or −1 mean?
A strong linear relationship — positive (1) means both variables increase together, negative (−1) means one increases as the other decreases.
What does r = 0 mean?
No linear relationship between the variables (though a non-linear relationship could still exist).
What inputs does the Correlation Coefficient need?
You'll need to provide: Points (x,y per line). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Correlation Coefficient?
The Correlation Coefficient applies the formula exactly as calculated — Pearson correlation coefficient r = (nΣxy − ΣxΣy) / √((nΣx² − (Σx)²)(nΣy² − (Σy)²)). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Correlation Coefficient free to use?
Yes, the Correlation Coefficient is completely free, requires no signup, and runs instantly in your browser.
About the Correlation Coefficient
The Correlation Coefficient uses a real, verifiable formula — Pearson correlation coefficient r = (nΣxy − ΣxΣy) / √((nΣx² − (Σx)²)(nΣy² − (Σy)²)). — so results are accurate every time, not an approximation.