# How does r squared related to standard deviation?

so consider the regression line as a line that runs on the y axis at 0. Why 0 , well because that's what the mean is when we look at the distribution (theoretically for normal distribution). Now if we have say two points at $\left(1 , 0\right)$ and $\left(- 1 , 0\right)$ then the distance from each of the points to the line would look like the standard deviation if we overlay a bell shape on top of the graph.