Coefficient of Determination relationship

Question

$R^2 = \frac{SSREG}{SSTOT}$ or $R^2 = 1-\frac{SSRES}{SSTOT}$

If $X$ is the predictor random variable for science SAT

and $Y$ is the predictor random variable science GPA

given by equation $$\hat Y = -1 + 0.006X$$

and $R^2 = 0.3$

what do we say the relationship between $X$ and $Y$ is in this case?

Answer 1

Science SAT accounts for about $30\%$ of the variation of the GPA