Suppose I know R^2 for my symbolic regression. Can I use the formula F = (R^2/(1-R^2))*(n-p)/(p-1) to do an F test?

My symbolic regression is of the form Y = a + bf(A,B,C,D,E,G) + cg(A,B,C,D,E,G) + dh(A,B,C,D,E,G) + error term, where the functions f(), g(), and h() are nonlinear products like A*(C^2)DE*(G^3).

Do I need to perform statistical tests to ensure that certain assumptions are satisfied, and if so what are those tests? What might be the consequence of not doing those tests?

Thank you for your kind help!

Suppose I know R^2 for my symbolic regression. Can I use the formula $F = \frac{R^2}{1-R^2}\cdot \frac{n-p}{p-1}$ to do an F test?

My symbolic regression is of the form Y = a + bf(A,B,C,D,E,G) + cg(A,B,C,D,E,G) + dh(A,B,C,D,E,G) + error term, where the functions f(), g(), and h() are nonlinear products like A*(C^2)DE*(G^3).

Do I need to perform statistical tests to ensure that certain assumptions are satisfied, and if so what are those tests? What might be the consequence of not doing those tests?

Thank you for your kind help!