Which of the following statement(s) DOES NOT/DO NOT hold true related to regression analysis…

Which of the following statement(s) DOES NOT/DO NOT hold true related to regression analysis: Statement I: $|r|$ is the geometric mean of $b_{yx}$ and $b_{xy}$. Statement II: $b_{xy}, b_{yx}$ and $r$ all are of the same sign. Statement III: The two regression lines do not intersect at $(\bar{x}, \bar{y})$. Statement IV: $-1 \le b_{yx} \times b_{xy} \le 1$.