Statistics

Correlation Coefficient Calculator

Find Pearson's r between two paired variables.

x₁

y₁

x₂

y₂

x₃

y₃

x₄

y₄

Calculated Output

Correlation (r) 0.9812

R² 0.9627

Formula: r = cov(x,y) ÷ (σx · σy)

Step-by-Step Breakdown

1. Values used:

2. x₁ = 1

3. y₁ = 2

4. x₂ = 2

5. y₂ = 4

6. x₃ = 3

7. y₃ = 5

8. x₄ = 4

9. y₄ = 8

10.

11. Correlation (r) = 0.9812

12. R² = 0.9627

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The math behind it

r = covariance ÷ (σx × σy). +1 perfect positive, −1 perfect negative, 0 none.

Sample pairs → r ≈ 0.96 (strong positive).

Correlation = causation?

No — a strong r doesn't prove one variable causes the other.