Pearson Product Moment Correlations

Formula 1

N ∑ XY - ∑X * ∑Y

r = ______________________________

√ [N∑ X² - (∑X)²] * [N∑Y² - (∑Y)²]

Formula 2

N ∑ (X - M_X) * (Y- M_Y)

r = ________________________

√ (∑ (X - M_X)² * ∑ (Y- M_Y)²)

Formula 3

∑ (Z_X * Z_Y)

r = _________

N