What does a coefficient of determination mean?

The coefficient of determination measures the percentage of variability within the \ (y\)-values that can be explained by the regression model. Therefore, a value close to 100% means that the model is useful and a value close to zero indicates that the model is not useful. It can be shown by mathematical manipulation that:

Why is coefficient of determination important in a regression model?

It does not disclose information about the causation relationship between the independent and dependent variables, and it does not indicate the correctness of the regression model. Therefore, the user should always draw conclusions about the model by analyzing the coefficient of determination together with other variables in a statistical model.

How do you write the coefficient of determination?

The coefficient of determination is often written as R2, which is pronounced as “r squared.” For simple linear regressions, a lowercase r is usually used instead ( r2 ). What is the coefficient of determination? What is the coefficient of determination?