Question

in reference to correlation and regresssion, what does R represent and what does R² represent?

Answer 1

The coefficient of determination (denoted by R2) is a key output of regression analysis. It is interpreted as the proportion of the variance in the dependent variable that is predictable from the independent variable.

R-squared (R2) is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model.

Statistical measure of the linear relationship (correlation) between a dependent-variable and an independent variable. Represented by the lowercase letter 'r', its value varies between -1 and 1 : 1 means perfect correlation, 0 means no correlation, positive values means the relationship is positive (when one goes up so does the other), negative values mean the relationship is negative (when one goes up the other goes down). Also called correlation coefficient which is denoted by r.