In: Statistics and Probability
i. Y_i = b_0^2 + (1/b_0) * X_1i + u_i
ii. ln(Y_i) = b_0 + b_1 * X_1i + b_2 * X_2i + u_i
iii. Y_i = b_0 * X_1i^b_1 * X_2i^b_2 + u_i
iv. ln(Y_i) = b_0 + b_1 * X_1i + b_2 * X_1i^2 + u_i
v. Y_i = b_0 * X_1i^b_1 * X_2i^b_2 * exp(u_i)
Note that _ indicates a subscript, ^ indicates a superscript (power), ln indicates the natural logarithm, and exp denotes the exponential function. You should interpret b as beta.
(b) Which model(s) have parameters (betas) that can be estimated using OLS indirectly – i.e., by transforming the model in some way? Explain. (Hint, try taking the natural log of both sides.)