Scatter Plot Correlation Calculator

Work out scatter plot correlation instantly with clear inputs, formula shown and shareable results.

About Scatter Plot Correlation Calculator

Pearson's r measures the strength and direction of a linear relationship, ranging from −1 to +1. Its square, r², is the fraction of the variance in y explained by the linear fit.

Formula

Pearson correlation

r = Σ(x − x̄)(y − ȳ) / √[Σ(x − x̄)²·Σ(y − ȳ)²]

Worked example

With the default values below, Scatter Plot Correlation Calculator returns Pearson correlation r of 0.87831007. Change any input above and every figure here is recalculated in your browser.

Inputs used

x values: 1, 2, 3, 4, 5, 6
y values: 2, 4, 5, 4, 5, 7

Results

Pearson correlation r: 0.87831007
Coefficient of determination r²: 0.77142857
Interpretation: Strong positive linear relationship
Number of pairs: 6

Step by step

1Values used
2Pearson correlation
3Pearson correlation r= 0.87831007
4Coefficient of determination r²= 0.77142857
5Interpretation= Strong positive linear relationship
6Number of pairs= 6

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

For the sample data?

Sxy = 13.5, Sxx = 17.5 and Syy = 13.5, so r = 13.5/√236.25 ≈ 0.8783 — a strong positive relationship explaining about 77% of the variance.

Does correlation imply causation?

No. A strong r can arise from a common cause, reverse causation or coincidence.