Math & Statistics
Pearson r & R² Calculator
Find the Pearson correlation coefficient and coefficient of determination for five paired points.
Your inputs
Change any value to update the result instantly.
Pearson r
0.9449
R² (coefficient of determination)
0.8929
Mean X
3
Mean Y
6.2
Formula and working
r = Σ(x−x̄)(y−ȳ) ÷ √(Σ(x−x̄)²Σ(y−ȳ)²)
- 1
Substitute your values
X1 = 1; Y1 = 3; X2 = 2; Y2 = 3; X3 = 3; Y3 = 7; X4 = 4; Y4 = 7; X5 = 5; Y5 = 11
- 2
Apply the formula
r = Σ(x−x̄)(y−ȳ) ÷ √(Σ(x−x̄)²Σ(y−ȳ)²) = 0.94
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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