Calculated Pearson’S Product-Moment Coefficient Analysis

Calculated Pearson’s Product-Moment Coefficient Analysis




Introduction & Importance

Pearson’s product-moment coefficient, also known as Pearson’s r, is a measure of the linear correlation between two variables X and Y. It’s a fundamental statistical tool that helps understand the relationship between two variables…

How to Use This Calculator

  1. Enter the values for variable X.
  2. Enter the values for variable Y.
  3. Enter the sample size (N).
  4. Click ‘Calculate’.

Formula & Methodology

The formula for Pearson’s r is:

r = (n(ΣXY) – (ΣX)(ΣY)) / √[(nΣX² – (ΣX)²)[nΣY² – (ΣY)²]]

Real-World Examples

Data & Statistics

X Y
1 2

Expert Tips

  • Pearson’s r only measures linear relationships.
  • It’s a unitless measure, ranging from -1 to 1.
  • Values close to 1 or -1 indicate strong linear relationships.

Interactive FAQ

What does Pearson’s r measure?

Pearson’s r measures the strength and direction of a linear relationship between two variables.

Understanding Pearson's product-moment coefficient Analyzing data with Pearson's r

Learn more about Pearson’s r

Khan Academy’s guide to Pearson’s r

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