There are alpha and beta coefficients from two linear regression equations (Equation1, Equation2). Next, the quadratic equation $Ax^2 + Bx + C$ is compiled, where:
- A = Equation1.Alpha * Equation2.Alpha
- B = (Equation1.Alpha * Equation2.Beta) + (Equation1.Beta * Equation2.Alpha)
- C = Equation1.Beta * Equation2.Beta
Please tell me: what is the mathematical sense in drawing up this quadratic equation? The point of intersection of the linear regression lines is found in another way. Unfortunately, examining the values of the alpha (slope) and beta (intersection) coefficients did not clarify the situation either.