(Requires Advanced Material)Only One of the Following Models Can Be $Y = A K ^ { \alpha } L ^ { \beta } + u$

Short Answer

(Requires advanced material)Only one of the following models can be estimated by OLS : a. $Y = A K ^ { \alpha } L ^ { \beta } + u$ .
b. $\operatorname { Pr } ( Y = 1 \mid X ) = \Phi \left( \beta _ { 0 } + \beta _ { 1 } X \right)$ .
c. $\operatorname { Pr } ( Y = 1 \mid X ) = F \left( \beta _ { 0 } + \beta _ { 1 } X \right) = \frac { 1 } { 1 + e ^ { - \left( \beta _ { 0 } + \beta _ { 1 } X \right) } }$ .
d. $Y = A K ^ { \alpha } L ^ { \beta } u$ .