Question

A set of n = 5 pairs of x and y values has ssx = 10, ssy = 40 and sp = 10. for these data, the pearson correlation is

Answer 1

r = correlation coefficient

$r = \frac{Sxy}{\sqrt{Sxx * Syy}}$

If: Sxx = 10, Syy = 40, Sxy = 10, then:

$r = \frac{10}{\sqrt{10 * 40}} \\\\ = \frac{10}{\sqrt{400}} \\\\ = \frac{10}{20} \\\\ = \frac{1}{2}$