Question

8. You created a scatter plot between the variables X and Y, and found that the relation is curve-linear.

Then you computed correlation coefficient and found that the correlation coefficient is nearly zero. Why correlation coefficient is zero when in fact there appears to be a curve-linear correlation between the two variables. Explain.

Answer 1

Solution:

The correlation coefficient is the measure of the extent of the linear relationship between two variables say X and Y.

The correlation coefficient r lies in the range -1 r 1

If r = 0 or nearly zero , then we can say that there is no linear relationship between X and Y.

But this does not mean that there is no any relationship between X and Y .

It can possible that there may be non linear relation between X and Y or there may be curvi linear relation between X and Y.