Coefficient of Determination Notes See Related Pages\(\) \(\bullet\text{ Statistics Homepage}\) \(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\) \(\bullet\text{ Least Squares Regression Line}\) \(\,\,\,\,\,\,\,\,\hat{y}=\overline{y}+b_1 \left( x-\overline{x} \right) \) \(\bullet\text{ Residuals}\) \(\,\,\,\,\,\,\,\,\text{Residual}=y-\hat{y}\) \(\bullet\text{ Correlation Coefficient}\) \(\,\,\,\,\,\,\,\,r=\displaystyle\frac{1}{n-1}\sum \left(\frac{x_i-\overline{x}}{s_x}\right)\left(\frac{y_i-\overline{y}}{s_y}\right)\) \(\bullet\text{ Coefficient of Determination}\) \(\,\,\,\,\,\,\,\,r^2=\displaystyle\frac{VAR(\hat{y})}{VAR(y)}\)