Correlation Coefficient Calculator

Calculate Pearson correlation between two variables.
Calculator
Enter your values
Results
Correlation (r)
0.775
Strong correlation
Analysis
Interpretation of the current calculator output

Calculation Summary

The current inputs have been processed for the correlation coefficient calculator. Review the results panel for the computed output and use the charts tab to compare the current values visually.

How to Read It

The main result shows the direct answer for your current inputs. Supporting sections below explain the method, example, and common questions so the result is easier to interpret.

How to Use

Step-by-step instructions
  1. 1Enter comma-separated X values.
  2. 2Enter comma-separated Y values.
  3. 3View correlation coefficient.

Pearson Correlation

Measures linear relationship between two variables.
r = Σ(x-x̄)(y-ȳ) / √[Σ(x-x̄)² Σ(y-ȳ)²]

Variables:

rCorrelation coefficient (-1 to 1)

Example

Example

Inputs:

X:1,2,3,4,5
Y:2,4,5,4,5

Steps:

  1. 1.Calculate means
  2. 2.Calculate covariance and variances
  3. 3.r = cov / (sd_x × sd_y)
Result:
r value

Frequently Asked Questions

What does r mean?

r = 1: perfect positive, r = -1: perfect negative, r = 0: no linear relationship