Question

A 2-column table with 4 rows. The first column is labeled x with entries 0, 5, 10, 15. The second column is labeled y with entries 15, 10, 5, 0.

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

1
-1
5
10

Answer 1

-1

Explanation:

b

Answer 2

Option B.

Explanation:

The given table of values is

x y

0 15

5 10

10 5

15 0

We need to find the correlation coefficient for the data shown in the table.

The range of correlation coefficient is [-1,1] and it denoted by r. It means option C and D are incorrect.

If the data lie on a increasing straight line, then r=1. It is also known as strong positive correlation.

If the data lie on a decreasing straight line, then r=-1. It is also known as strong negative correlation.

If there is a not relation below data points, then r=0. It is known no correlation.

From the given table it is clear that the value of y decreasing by a constant rate. The value of y decreased by 5 as the value of x increased by 5. It means all the points lie on a decreasing straight line.

Therefore, the correlation coefficient for the data shown in the table is -1. The correct option is B.