# Math Help - Pearson's correlation - quick questions

1. ## Pearson's correlation - quick questions

I have this question related to finding Pearson's correlation coefficient. I already know how to find to coefficient but then the question asks to find r^2, so do I just find out the square of r? And then it says what does this number mean? What is r^2 supposed to represent? Thanks in advance.

2. You just square r. The Pearson's correlation tells you if the regression model is a good one. Since $r^2 = 1 - \frac{SSE}{SST}$ then $\implies r^2 \leq 1$. If the Pearson's correlation is close to 1, then that mean's that the model is a good model. If the person's correlation is not close to 1, then it means it is not a good model and you should use a different regresssion model.