Linear Correlation Coefficient (r)

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Linear Correlation Coefficient (r)

ST-04
ASPCSPAdvanced
Formula
\[ r = \frac{\sum\left[(X-\bar{X})(Y-\bar{Y})\right]}{\sqrt{\sum(X-\bar{X})^2 \cdot \sum(Y-\bar{Y})^2}} \]
When to Use

Measure the strength and direction of linear relationship between two variables.

Symbol Legend
SymbolMeaningUnitNote
rCorrelation coefficient+1=perfect positive; 0=none; -1=perfect negative
X YIndividual data point pairssame as data
X̄ ȲMean values of X and Y data setssame as data
NSample size
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