Statistics calculator
Correlation Coefficient Calculator
Calculate Pearson correlation from five x-y data pairs.
Formula
Pearson correlation
Correlation measures linear association, not causation.
r = sum((x - mean x)(y - mean y)) / sqrt(sum(x - mean x)^2 sum(y - mean y)^2)
Five x-y pairs can show positive, negative, or weak linear association.
FAQs
What does r near 1 mean?+
It means a strong positive linear relationship.
What does r near 0 mean?+
It means little linear relationship in the entered data.
How does the Correlation Coefficient Calculator calculate the result?+
It uses the Pearson correlation: r = sum((x - mean x)(y - mean y)) / sqrt(sum(x - mean x)^2 sum(y - mean y)^2). Five x-y pairs can show positive, negative, or weak linear association.
What information do I need to use the Correlation Coefficient Calculator?+
Calculate Pearson correlation from five x-y data pairs.
How accurate is the Correlation Coefficient Calculator?+
Correlation Coefficient Calculator applies the formula and assumptions shown on this page. Results may be rounded for readability, so verify changing rates, thresholds, medical guidance, or legal rules with the cited source or a qualified professional.
What should I check before using the Correlation Coefficient Calculator result?+
Check that the units, dates, rates, and assumptions match your situation. Change one input at a time to understand which values have the largest effect on the result.
Statistics guide
How to use the Correlation Coefficient Calculator
Calculate Pearson correlation from five x-y data pairs. The page also explains the pearson correlation and shows a practical example: Five x-y pairs can show positive, negative, or weak linear association.
- 1
Enter your details
Enter five x-y data pairs, then complete any other fields shown in the calculator.
- 2
Check the calculation
Review the result alongside the pearson correlation: r = sum((x - mean x)(y - mean y)) / sqrt(sum(x - mean x)^2 sum(y - mean y)^2).
- 3
Compare scenarios
Change one or more inputs to see how they affect the correlation Coefficient Calculator result before you use the estimate.
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