# Reconsider the regression models in Problem 12.6, parts a-e. Suppose the error terms in these models were

## Question:

Reconsider the regression models in Problem 12.6, parts a-e. Suppose the error terms in these models were multiplicative, not additive. Rework the problem under this new assumption regarding the error structure.

**Data From Problem 12.6**

For the models shown below, determine whether it is a linear model, an intrinsically linear model, or a nonlinear model. If the model is intrinsically linear, show how it can be linearized by a suitable transformation.

a. \(y=\theta_{1} e^{\theta_{2}+\theta_{3} x}+\varepsilon\)

b. \(y=\theta_{1}+\theta_{2} x_{1}+\theta_{2} x_{2}^{\theta_{3}}+\varepsilon\)

c. \(y=\theta_{1}+\theta_{2} / \theta_{1} x+\varepsilon\)

d. \(y=\theta_{1}\left(x_{1}\right)^{\theta_{2}}\left(x_{2}\right)^{\theta_{3}}+\varepsilon\)

e. \(\theta_{1}+\theta_{2} e^{\theta_{3} x}+\varepsilon\)

## Step by Step Answer:

**Related Book For**

## Introduction To Linear Regression Analysis

**ISBN:** 9781119578727

6th Edition

**Authors:** Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining