The regession line is not as steep as the SD Line (line through point of averages, with slope = sd(y)/sd(x)). The difference
is especially noticeable when the scatterplot is the result of a sample from a bivariate normal distribution. This app explains
why we use the regression line to predict y from x, even though the SD line appears to be a better linear summary of the
scatterplot. Can be used as a starting-point for a discussion of "regression to the mean."
Usage
ShallowReg(n=900,rho=0.5)
Arguments
n
Number of points in the scatterplot.
rho
Target correlation for the scatterplot. Points are selected from a standardized bivariate normal distribtuion, with
correlation rho.