correlation coefficient
Answers
Definition. Pearson's correlation coefficient (r) is a measure of the linear association of two variables. ... The values of correlation coefficient vary from –1 to +1. Positive values of correlation coefficient indicate a tendency of one variable to increase or decrease together with another variable.
Formula
Pearson correlation coefficient
r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}
r = correlation coefficient
x_{i} = values of the x-variable in a sample
\bar{x} = mean of the values of the x-variable
y_{i} = values of the y-variable in a sample
\bar{y} = mean of the values of the y-variable
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