Which of the following statements is correct?
A)Changing the units of measurement of x or y does not change the value of the correlation r.
B)A negative value for the correlation r indicates the data are strongly unassociated.
C)The correlation always has the same units as the x variable but not the y variable.
D)The correlation always has the same units as the y variable but not the x variable.

Question

Quizplus · Accepted Answer

Changing the units of measurement of x or y does not change the value of the correlation coefficient r. The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables and is unitless. Therefore, changing the units of measurement of x or y does not affect its value. Option B is wrong because a negative correlation coefficient implies that the two variables are related, but in an inverse or opposite manner. The values of one variable increases while the other decreases. Option C and D are incorrect because the correlation coefficient is a unitless measure of association.

Which of the Following Statements Is Correct