Answer to Question #261678 in Statistics and Probability for Ayana Prica

Question

You have found that the correlation coefficient between two variables is negative. Is it possible to calculate the coefficient of determination? Explain.

Answer 1

 Coefficient of Correlation: is the degree of relationship between two variables say x and y. It can go between -1 and 1.

A negative correlation describes the extent to which two variables move in opposite directions. For example, for two variables, X and Y, an increase in X is associated with a decrease in Y. 

Coefficient of Determination is the square of Coefficient of Correlation. It is always between 0 and 1. It can never be negative – since it is a squared value.