Calculate R Coefficient by Hand
Introduction & Importance
The Pearson correlation coefficient (r) is a measure of the linear correlation between two variables X and Y. It’s crucial in data analysis as it helps understand if and how strongly pairs of variables are related.
How to Use This Calculator
- Enter the values of X, Y, and N (sample size).
- Click ‘Calculate’.
- View the result and chart below.
Formula & Methodology
The formula for r is:
r = [(ΣXY – n*Xbar*Ybar) / sqrt((ΣX^2 – n*Xbar^2) * (ΣY^2 – n*Ybar^2))]
Real-World Examples
Data & Statistics
| X | Y |
|---|---|
| 1 | 2 |
Expert Tips
- Understand the range of r: -1 to 1.
- Use r^2 for the strength of the correlation.
Interactive FAQ
What does r = 0 mean?
No correlation.