Answer:
Option B.
Step-by-step 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.
