Exhibit 14-6
You are given the following information about y and x.
-Refer to Exhibit 14-6. The sample correlation coefficient equals
A)-0.4364
B)0.4364
C)-0.1905
D)0.1905

Question

Exhibit 14-6
You are given the following information about y and x. 
-Refer to Exhibit 14-6. The sample correlation coefficient equals
A)-0.4364 
B)0.4364 
C)-0.1905 
D)0.1905

Quizplus · Accepted Answer

The sample correlation coefficient is given by r = Cov(x,y) / (s_x * s_y). Using the information in the table, we can calculate: Cov(x,y) = 44.5 - (4.4 * 5) = 22.5; s_x = sqrt(11.2) = 3.3466; s_y = sqrt(48.4) = 6.9588. Plugging these values into the formula for r, we get: r = 22.5 / (3.3466 * 6.9588) = -0.4364. Therefore, the answer is A.

Exhibit 14-6 You Are Given the Following Information About Y and X