For a certain data set the regression equation is y = 21 - 8x.The correlation coefficient between y and x in this data set ___.
A)must be 0
B)is negative
C)must be 1
D)is positive
E)must be 1

Question

For a certain data set the regression equation is y = 21 - 8x.The correlation coefficient between y and x in this data set ___.
A)must be 0
B)is negative
C)must be 1
D)is positive
E)must be >1

Quizplus · Accepted Answer

Since the slope (coefficient of x) is negative, there is a negative relationship between y and x. Therefore, the correlation coefficient must also be negative. It is not necessarily equal to 1 or 0, nor can it be greater than 1.

For a Certain Data Set the Regression Equation Is Y