r, R^2, and s
Definition
r, R^2, and s are statistical measures used to assess the strength and direction of a linear relationship between two variables.
Analogy
Think of r as a "relationship score" that tells you how well two variables get along. R^2 is like the "compatibility percentage" that shows how much of the variation in one variable can be explained by the other variable. And s is like the "standard deviation" of this relationship, measuring how spread out the data points are around the regression line.
Related terms
Correlation coefficient: A measure (r) that quantifies the strength and direction of a linear relationship between two variables.
Coefficient of determination: A measure (R^2) that represents the proportion of variation in one variable that can be explained by another variable.
Residual standard error: A measure (s) that estimates the average distance between observed data points and predicted values on a regression line.
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