Question

A set of n = 15 pairs of scores (X and Y values) has SSX = 4, SSY = 25, and SP = 6. What is the Pearson correlation for these data

Answer 1

The Pearson correlation can be calculated by the formula:
$r = \frac{SP}{ \sqrt{SS_{x}SS_{y} } }$

Therefore:

r = 6 / √(4·25)
  = 6 / √100
  = 6 / 10
  = 0.60

Hence, the Pearson correlation for this set is 0.60