statistics

What is pearson's correlation coefficient formula?

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The_Don. answered · 27/04/2021

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Answer

The Correlation coefficients measures how strong a relationship is between two variables.

The Pearson's Correlation Coefficient formula is:

$r = \frac{\sum_{} (x_{i} - \bar{x}) (y_{i} - \bar{y})}{\sqrt{\sum_{} {(x_{i} - \bar{x})}^{2} \sum_{} {(y_{i} - \bar{y})}^{2}}}$

where;

$r - i s t h e c o r r e l a t i o n c o e f f i c i e n t$

$x_{i} - i s t h e v a l u e s o f t h e x - v a r i a b l e i n a s a m p l e$

$\bar{x} - i s t h e m e a n o f t h e v a l u e s o f t h e x - v a r i a b l e$

$y_{i} - i s t h e v a l u e s o f t h e y - v a r i a b l e i n a s a m p l e$

$\bar{y} - i s t h e m e a n o f t h e v a l u e s o f t h e y - v a r i a b l e$

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