Let’s review the notation for correlation.

\(r\): The sample correlation (Pearson’s correlation)

\(\rho\): “rho” is the population correlation

The sample correlation is found by:

\( r=\dfrac{\sum (x_i-\bar{x})(y_i-\bar{y}) }{\sqrt{\sum (x_i-\bar{x})^2}\sqrt{\sum (y_i-\bar{y})^2}} \)

In this section, we will present a hypothesis test for the population correlation. Then, we will compare the tests and interpretations for the slope and correlation.