Consider the following observations: a. Fit the nonlinear regression model [ y=theta_{1} e^{theta_{2} x}+varepsilon ] to these
Question:
Consider the following observations:
a. Fit the nonlinear regression model
\[
y=\theta_{1} e^{\theta_{2} x}+\varepsilon
\]
to these data. Discuss how you obtained the starting values.
b. Test for significance of regression.
c. Estimate the error variance \(\sigma^{2}\).
d. Test the hypotheses \(H_{0}: \theta_{1}=0\) and \(H_{0}: \theta_{2}=0\). Are both model parameters different from zero? If not, refit an appropriate model.
e. Analyze the residuals from this model. Discuss model adequacy.
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Related Book For
Introduction To Linear Regression Analysis
ISBN: 9781119578727
6th Edition
Authors: Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining
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