(Steps Shown) In Prob. 13.8 we used transformations to linearize and fit the following model: y=α_4 x e^beta_4 x Use nonlinear regression to estimate
Question: In Prob. 13.8 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 | y |
| 0.1 | 0.75 |
| 0.2 | 1.25 |
| 0.4 | 1.45 |
| 0.6 | 1.25 |
| 0.9 | 0.85 |
| 1.3 | 0.55 |
| 1.5 | 0.35 |
| 1.7 | 0.28 |
| 1.8 | 0.18 |
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