For a certain data set the regression equation is ŷ = 29 - 5x.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 ŷ = 29 - 5x.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

The negative coefficient (-5) in the regression equation indicates a negative relationship between x and y, meaning as x increases, y decreases, which corresponds to a negative correlation coefficient.

For a Certain Data Set the Regression Equation Is ŷ