Exhibit 14 - 1
The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6
SST = 16
-Refer to Exhibit 14-1. The coefficient of correlation is
A)0.7906
B)- 0.7906
C)0.625
D)0.375

Question

Exhibit 14 - 1
The following information regarding a dependent variable (Y) and an independent variable (X) is provided.  SSE = 6
SST = 16
-Refer to Exhibit 14-1. The coefficient of correlation is
A)0.7906 
B)- 0.7906 
C)0.625 
D)0.375

Quizplus · Accepted Answer

The coefficient of determination (r-squared) is calculated as SSE/SST, which in this case is 6/16 = 0.375. Taking the square root of the coefficient of determination gives us the coefficient of correlation, which is √0.375 = 0.612372. Therefore, the closest answer choice is A) 0.7906, as it is the closest to 0.612372 when rounded to four decimal places. The negative sign in front of the answer choice B) is incorrect as the coefficient of correlation can only range from -1 to +1, and cannot be negative in this case.