Question

30 pts. In one study, it was found that the correlation coefficient between two variables is -0.95

Which statement is true?

A. There is almost no association between the variables.
B. There is a strong negative association between the variables.
C. There is a strong positive association between the variables.
D. There is a perfect association between the variables.

Answer 1

B. There is a strong negative association between the variables.

Explanation:

The more negative the correlation coefficient, the more negative the association. The more positive the correlation coefficient, the more positive the association. If the correlation coefficient is near zero, there is no correlation.

Answer 2

The correct option is B.

Explanation:

It is given that the correlation coefficient between two variables is -0.95.

Correlation coefficient between two variables is denotes by ρ. The value of ρ is leis between -1 to 1.

If
`\rho=-1`, then it represent perfect negative correlation.

If
`\rho=1`, then it represent perfect positive correlation.

If
`\rho=0`, then it represent no relationship between the variables.

Since the -0.95 is near to the value -1, therefore we can say that there is a strong negative association between the variables. Option B is correct.