I have a $y$ variable and 2 $x$'s ($x_0$ and $x_1$). I am told that the $y$ is a function of the 2 $x$'s. I know the functional form of this relationship, but want to calculate the weights/values of constants that go into the transformation. The functional form is somewhat complicated. The following is not what I have, but to illustrate the point:
$$y = B_0 - \frac{(x_1 + B_1)B_2-B_3}{B_4} + (B_5X_2)^{B_6}$$
Is it possible to determine estimates of the $B_j$'s using regression or another method?