Potter Sherman
03/13/2024 · High School
show the \( r=\frac{\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2} \sum_{i=1}^{n}(y-\bar{y})^{2}}} \)
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The Pearson correlation coefficient \( r \) is calculated as the covariance of \( x \) and \( y \) divided by the product of their standard deviations. It measures the strength and direction of the linear relationship between two variables.
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