Business Studies, asked by ayushwellnesscentres, 3 months ago

correlation coefficient​

Answers

Answered by tejasvinisinhaps23
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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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