Burton Mcguire
10/22/2024 · Primary School
Show the t \( r=\frac{\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2} \sum_{i=1}^{n}(y-\bar{y})}} \)
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The formula calculates the sample correlation coefficient, denoted as \( r \), to measure the linear relationship between two variables \( x \) and \( y \). It uses the differences between each data point and the mean, and divides the sum of these products by the square root of the sum of the squares of these differences.
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