Pearson Correlation Calculator Online

Calculate Pearson's r coefficient, the coefficient of determination r², and the linear regression line from data pairs. 100% private and local tool.

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Pearson's Coefficient (r)
Determination (r²) -
Pairs (n) 0
Slope (m) -
Mean X | Y - | -
Waiting for data...
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Frequently Asked Questions

What is Pearson's correlation coefficient?

It is a statistical measure that quantifies the strength and direction of the linear relationship between two quantitative variables. Its value ranges from -1 (perfect negative correlation) to 1 (perfect positive correlation), with 0 indicating no linear relationship.

Can I paste data directly from Excel?

Yes, our calculator is optimized to interpret data copied and pasted from Excel, Google Sheets, or CSV files. It automatically detects columns and cleans non-numeric characters such as currency symbols or percentages.

Why is the r value low if my data seems related?

Pearson's coefficient only detects linear relationships. If your data has a curved relationship (such as a parabola or logarithmic), the Pearson coefficient may be very low even though a clear connection between the variables exists.

What does r² mean in this calculator?

It is the coefficient of determination. It represents the proportion of variance in the dependent variable that is predictable from the independent variable. For example, an r² of 0.85 indicates that 85% of the variability is explained by the linear model.

# Pearson Correlation Calculator Online: Complete Guide

Pearson's correlation coefficient (r) is the standard statistical tool for measuring how two numerical variables relate to each other linearly. Whether for academic work, market analysis, or scientific research, understanding the strength of your data is vital.
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# What is Pearson's r coefficient used for?

Pearson's index reveals whether a trend exists: when one variable increases, does the other also increase (positive correlation) or decrease (negative correlation)? This tool is essential for data analysis in Excel, SPSS, or Python.

Pearson Correlation

Ideal for quantitative variables with a clear linear relationship.

  • Numerical Data
  • Linear Relationship
  • Requires Normality

Spearman Correlation

Better for ordinal data or monotone non-linear relationships.

  • Ordinal Data (Ranks)
  • Monotone Relationship
  • Resistant to Outliers

# Interpreting Results: Value Table

Value Range (r) Relationship Strength Practical Meaning
0.90 to 1.00Very StrongNear-perfect relationship. Ideal for predictions.
0.70 to 0.89StrongClear linear dependence between variables exists.
0.40 to 0.69ModerateA visible trend, but with notable scatter.
0.20 to 0.39WeakPoor relationship; other factors have more influence.
0.00 to 0.19Null/NegligibleNo significant linear relationship exists.

# Advantages and limitations of this calculator

  • Paste from Excel/CSV: No need to enter data one by one.
  • Instant Scatter Diagram with regression line.
  • 100% Privacy: Your data never leaves your PC.
  • Only detects linear relationships (not curved ones).
  • High sensitivity to extreme values (outliers).
  • Requires at least 2 valid data pairs.
Expert Tip
Before blindly trusting the r value, always look at the Scatter Diagram. Sometimes a high coefficient can be caused by a single outlier, or a low coefficient can hide a very strong curved relationship that Pearson cannot detect.

# Statistical Glossary

Covariance
Measure of how much two random variables change together.
Linear Regression
Mathematical model used to approximate the dependency relationship between variables.
Coefficient r²
Proportion of variance that is predictable from the independent variable.
Scatter Diagram
Point chart showing the distribution of data pairs on a plane.

Bibliographic References