Q.What is coefficient of determination in the study of regression for two variables?

The coefficient of determination equals $r^2$, the square of the correlation coefficient — option (b).

In the GSEB Class-12 Statistics Linear Regression chapter, the coefficient of determination measures the proportion of the total variation in the dependent variable that is explained by the independent variable through the regression relationship.

It is defined as: …

The coefficient of determination is $r^2$, i.e. the square of the correlation coefficient. Option (B).

In regression analysis of two variables, the coefficient of determination $r^2$ gives the proportion of the total variation in the dependent variable that is explained by the independent variable through the regression lin …

The coefficient of determination is $r^2$, the square of the correlation coefficient.

Reasoning. The coefficient of determination $r^2$ gives the fraction of the total variation in the dependent variable that is explained by the regression on the independent variable. It is, by definition, the square of Karl Pearso …