1. R2 is the coefficient of determination, which is the square of the Pearson correlation coefficient, r, the formula for which is ρ=β1(σx/σy), where β1 is the parameter estimate. ASCI and Unicode text does not have a circumflex, ^, on top of the β. For this documentation the objective is multiplatform long-term readability so an equation [...]

My favorite function of all time is varsoc in Stata.  That’s saying a lot because I have been working with computers for decades and have written software in several languages, used many different types of administrative software tool sets, and owned a lot of books with code in them.  Varsoc regresses one variable, y, upon another variable, [...]