- #1
intervoxel
- 195
- 1
I'm looking for a function which has a behavior r^2 near zero and approaching fast to zero when r tends to infinity. Thanks for any hints.
When r^2 (the coefficient of determination) is close to zero, it means that there is little to no linear relationship between the two variables being compared. This means that there is no predictive power in the relationship and the data points are widely scattered.
As r^2 approaches zero, it indicates that there is no correlation between the variables being compared. This means that the changes in one variable do not cause or predict changes in the other variable.
No, r^2 can never be negative or greater than 1. A negative r^2 value indicates that there is a negative correlation between the variables, while a value greater than 1 would suggest that there is a non-linear relationship between the variables.
r^2 is important to consider because it provides a measure of how well the data points fit a regression model. It helps to determine the strength and direction of the relationship between the variables being compared.
No, r^2 is not the only measure of a good fit for a regression model. Other measures, such as the root mean square error (RMSE) and the mean absolute error (MAE), should also be considered when evaluating the overall fit of a regression model.