X | Y

0 | 15

5 | 10

10 | 5

15 | 0

What is the correlation coefficient for the data shown in the table?

A: 1

B: - 1

C: 5

D: 10

The answer should be c

B: - 1

Step-by-step explanation:

Here as the value of X is increasing, the value of Y is get decreased. Thus Negative Correlation is exist here.

Also, if we notice here the values of both the observation are just reciprocal.

Thus, the Value of Correlation Coefficient is exact - 1.

The Correlation Coefficient is the strength and direction of relationship between two variables. And its value lie between - 1 to + 1.