Examples of approximate R2 values
R2 = 1
Perfect linear relationship between x and y:
100% of the variation in y is explained by variation in x
The result of the linear regression is: Y = 0.10 - 0.50 X with a correlation coefficient R = (-0.90).
The fraction of the variance of Y attributable to X is equal to:
R-squared is the square of the correlation coefficient and measures the fraction of the variance of Y that is attributable to X.R2 = (-0.90)2 = 0.81