Question

In one study, it was found that the correlation coefficient between two variables is -0.98. Which statement is true?
A. There is a weak positive association between the variables
B. There is a weak negative association between the variables
C. There is a strong positive association between the variables
D. There is a strong negative association between the variables

Answer 1

Answer- D. There is a strong negative association between the variables

Solution-

Properties of Correlation Coefficient

1-  Its value ranges between -1 and 1.

2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.

3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.

4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)

So there is a strong negative association between the variables.