Ordinary least squares regression is clearly not symmetrical! Regressing $Y$ on $X$ is not the same as regressing $X$ on $Y$. What kind of regression is symmetrical?
I have 5 variables ($A$, $B$, $C$, $D$, $E$) and I want to find out the true relationship among the variables. $$ W_a * A + W_b * B + W_c * C + W_d * D + W_e * E + W_0 = 0 $$ where ($W_a$, $W_b$, $W_c$, $W_d$, $W_e$ and $W_0$ are constants).
Is Deming regression symmetrical?