In Nonlinear Models, the Expected Change in the Dependent Variable $\quad \Delta Y = f \left( X _ { 1 } + \Delta X _ { 1 } , X _ { 2 } , \ldots , X _ { k } \right)$

Short Answer

In nonlinear models, the expected change in the dependent variable for a change in one of the explanatory variables is given by a. $\quad \Delta Y = f \left( X _ { 1 } + \Delta X _ { 1 } , X _ { 2 } , \ldots , X _ { k } \right)$ .
b. $\Delta Y = f \left( X _ { 1 } + \Delta X _ { 1 } , X _ { 2 } + \Delta X _ { 2 } , \ldots , X _ { k } + \Delta X _ { k } \right) - f \left( X _ { 1 } , X _ { 2 } , \ldots X _ { k } \right)$ .
c. $\Delta Y = f \left( X _ { 1 } + \Delta X _ { 1 } , X _ { 2 } , \ldots , X _ { k } \right) - f \left( X _ { 1 } , X _ { 2 } , \ldots X _ { k } \right)$ .
d. $\quad \Delta Y = f \left( X _ { 1 } + X _ { 1 } , X _ { 2 } , \ldots , X _ { k } \right) - f \left( X _ { 1 } , X _ { 2 } , \ldots X _ { k } \right)$