I have an Rsquare value of 0.826, how can I conclude that this value is greater than 0?

Question

I thought that the coefficient of determination ranges between 0 and 1, but apparently that is not the answer to the question. I have an R square value of 0.826 how do I test this value to conclude that it is greater than 0?

Answer 1

R² is used a guide to find if there is a better regression model. A higher R² value means that the model is better than a model with a lower R² value. There is no statistical test that I know of. If you want a statistical test, test the slope of the regression coefficient(s) using a t-test.

Answer 2

All positive numbers are greater than zero. 0.826 is a positive number, therefore it is greater than zero.