Calculating the Pearson correlation (r) involves calculating SS_X, SS_Y, SP_XY_{, and}_r_{. How many of these four things can be a negative number?} A) 0 B) 1 C) 2 D) 3

Question

Quizplus · Accepted Answer

Out of the four things to be calculated, SSS1U1B1XS1U1B0 and SSS1U1B1YS1U1B0 cannot be negative as they involve the sum of squared values which are always positive. However, SPS1U1B1XYS1U1B0S1U1B1 and S1U1B0S1U1B1rS1U1B0S1U1B1 can be negative as they involve the product of two values which can have opposite signs. Therefore, two out of four things can be negative, which is option C.

Calculating the Pearson Correlation (R) Involves Calculating SSX, SSY, SPXY

Calculating the Pearson Correlation (R) Involves Calculating SS_X, SS_Y, SP_XY