The following text lists the corrected treatment effect for each nonlinear equation type.

Logistic, Exponential Growth, Exponential Decay (Increasing Form), Exponential Decay (Decreasing Form) all have a corrected treatment effect of a_z = x-bar/b_z. These equations have a multiplicative treatment effect.

The logarithmic equation is also multiplicative but due to the nature of the equation, the corrected treatment effect is:

Regarding the polynomial equations for brevity, the quadratic equation is discussed. Here the corrected treatment effect is multiplied to the leading term which the x^2 term. Here the corrected treatment effect is:

The Gaussian equation has an additive treatment effect as the corrected treatment effect shifts the centre of the equation. Here the corrected treatment effect is a_z = x-bar + b_z

It is left to the reader to derive the above results as the derivation can be an exhilirating exercise.