Calculate the correlation coefficient between x and y and comment on the relationship.

In this question, the mean of X and Y comes zero or in fractions. It will create a problem in computing deviations. So, direct method will he used

Comment: r = 0 shows that there is absence of correlation between the variables x and y but we observe that it remains a non-linear correlation between the two variables i.e., y = {{x}^{2}}. So, in this question, the correlation coefficient fails to indicate the correct correlation between these two variables.