A set of n = 5 pairs of X and Y values has SS_X = 16,SS_Y = 4 and SP = 2.For these data,the Pearson correlation is ____. A)r = 2/64 B)r = 2/8 C)r = 8/8 D)r = 64/8

Question

Quizplus · Accepted Answer

The formula for Pearson correlation is:

r = (nΣXY - ΣXΣY) / ((nΣX^2 - (ΣX)^2)(nΣY^2 - (ΣY)^2))^0.5

Plugging in the values given:

r = (5(16) - (2)(4)) / ((5ΣX^2 - (2)^2)(5ΣY^2 - (4)^2))^0.5

r = 2 / 8

r = 0.25

Therefore, the answer is B) r = 2/8.

A Set of N = 5 Pairs of X and Y