Exhibit 14-7
You are given the following information about y and x.
-Refer to Exhibit 14-7. The sample correlation coefficient equals
A)0.3162
B)-0.3162
C)0.10
D)-0.10

Question

Exhibit 14-7
You are given the following information about y and x. 
-Refer to Exhibit 14-7. The sample correlation coefficient equals
A)0.3162 
B)-0.3162 
C)0.10 
D)-0.10

Quizplus · Accepted Answer

The sample correlation coefficient can be calculated as r = (nΣxy - ΣxΣy) / [(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)]^(1/2). Using the given values, we get r = (10(114) - (55)(57)) / [(10(106.6) - (55)^2)(10(91.5) - (57)^2)]^(1/2) = -0.3162, which is option B. Note that the negative sign indicates a negative correlation between the variables.

Exhibit 14-7 You Are Given the Following Information About Y and X