$(40$ points$)$

a$)$ Linearize the following model and use it to estimate ${}_4$ and ${}_4$ based on the following data.

Solve the problem manually. Make sure to calculate $R^2$ and $S_{\frac{y}{x}}.$

b$)$Develop plots of your fit along with the transformed data and original model along with the

untransformed data using MATLAB.

$y={}_4**x**e^{{}_{4}x}$