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CHAPTER 14:
NONLINEAR REGRESSION MODELS
14.1 If a regression model superficially looks nonlinear in the parameters
but with suitable transformations can be linearized in the
14.2 If the error term is entered additively, the Cobb-Douglas (C-D)
model becomes an intrinsically nonlinear regression model.
If the error term enters multiplicatively, the model becomes
linear in the slope parameters (but not the intercept). But the
14.3 In OLS estimation we can obtain explicit, or analytical, solutions to
14.4 First write the equation as:
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14.6 Refer to App. 14A, Sec. 14A.3. Using only the first derivatives,
14.7 (a) Here
2
dY
dt
β
=
. This model suggests that
Y
grows over time at
Basic Econometrics, Gujarati and Porter
Empirical Exercises
14.8
In the following models, Y = population and t = time.
Linear Model
14.9
Cobb-Douglas Production Function with Additive Error
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