Calculator Inputs and Outputs
Inputs
- Number of pairs — example: 10
- Sum of x — example: 50
- Sum of y — example: 70
- Sum of x² — example: 310
- Sum of y² — example: 590
- Sum of x×y — example: 400
Results
- Pearson correlation coefficient
- Coefficient of determination
- Absolute correlation
Formula used
r = [nΣxy − (Σx)(Σy)] ÷ √{[nΣx² − (Σx)²][nΣy² − (Σy)²]}.
How to Use the Correlation Coefficient Calculator
Enter the requested values, check the units and assumptions, then select Calculate Correlation Coefficient. The built-in defaults provide a complete working example.
Formula
r = [nΣxy − (Σx)(Σy)] ÷ √{[nΣx² − (Σx)²][nΣy² − (Σy)²]}.
Understanding the Results
The primary answer appears first. Supporting outputs show related quantities, conversions, dates, costs, ratios, or intermediate values. Calculations keep additional precision before display rounding.
Accuracy Tips
- Use measured values and consistent units.
- Review assumptions, rates, timing, and efficiency inputs.
- Recalculate after changing any condition.
Important Note
This tool provides an informational estimate. Confirm critical financial, medical, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.
Calculation Standards
This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.
Read our calculation methodology