In a study of the factors that affect success in economics, data were collected for 8 business students. Scores on a calculus placement test are given with economics final exam scores. The data are below. It can be shown that for these data: = 17.75, = 70.38, = 237.50, = 545.875, ( − ) = 140.75.
Calculate the sample correlation coefficient.
A) .15
B) .11
C) .39
D) −.39
E) −.11

Question

In a study of the factors that affect success in economics, data were collected for 8 business students. Scores on a calculus placement test are given with economics final exam scores. The data are below.  It can be shown that for these data:  = 17.75,  = 70.38,  = 237.50,  = 545.875,  (  −  ) = 140.75.
Calculate the sample correlation coefficient.
A) .15 
B) .11 
C) .39 
D) −.39 
E) −.11

Quizplus · Accepted Answer

=(−) /(n − 1) = 140.75 /7 = 20.11=/ (n − 1) = 237.50 /7 = 33.93 b₁ = 20.11/33.93 = .593

In a Study of the Factors That Affect Success in Economics