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# Pearson correlation coefficient online calculation

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### APP description

The correlation coefficient of the data set can be derived from

$$ρ_{X,Y}=corr(X,Y)= \frac {cov(X,Y)}{σ _Xσ _Y}$$

$$r= \frac {1}{(n-1)} ∑ \frac {(X-μ _X)(Y-μ _Y)}{σ _Xσ _Y}$$

The variables of a data set are very highly correlated if the correlation coefficient r is between 0.9 and 1.0; highly correlated, if the correlation coefficient r, its magnitude lies between 0.7 and 0.9, moderately correlated, if r is at 0.5 and 0.7 Between; low correlation, if the r value is between 0.3 and 0.5 and linearly related. In many applications, you need to calculate the correlation coefficient for a given data set, and the correlation coefficient calculator on this web can help you simply use the calculations.