Which of the following is true of the least-squares regression line $\hat{y} = b_1x + b_0$?
Select all that apply.
A. The sign of the linear correlation coefficient, $r$, and the sign of the slope of the least-squares regression line, $b_1$, are the same.
B. The least-squares regression line always contains the point $(\bar{x}, \bar{y})$.
C. The least-squares regression line maximizes the sum of squared residuals.
D. The least-squares regression line always contains the point $(0,0)$.
E. The predicted value of $y$, $\hat{y}$, is an estimate of the mean value of the response variable for that particular value of the explanatory variable.
F. The least-squares regression line minimizes the sum of squared residuals.
G. The predicted value of $y$, $\hat{y}$, is an estimate of the mean value of the explanatory variable for that particular value of the response variable.