The R² (coefficient of determination) notation can range from 0% to 100%. What type of relationship does an R² value of 0.845 indicate?
An R² value indicates how well data points fit a regression line, expressed as a percentage of variance explained. An R² of 0.845 (84.5%) is a high value, indicating that the model explains a large portion of the variability in the data, which corresponds to a strong positive linear association between the variables — as one variable increases, the other tends to increase in a predictable, linear fashion. A neutral association would produce an R² value close to 0, and a negative association is not indicated by the magnitude of R² since R² values are always non-negative (they are the square of the correlation coefficient).
Community Discussion