Chapter 17, Problem 31P

In Prob. 17.11 we used transformations to linearize and fit the following model:

$y={\alpha }_{4}x{e}^{{\beta }_{4}x}$

Use nonlinear regression to estimate ${\alpha }_4$ and ${\beta }_4$ based on the following data. Develop a plot of your fit along with the data.

x	0.1	0.2	0.4	0.6	0.9	1.3	1.5	1.7	1.8
y	0.75	1.25	1.45	1.25	0.85	0.55	0.35	0.28	0.18