Numerical Analysis

This is a Numerical Analysis question and solve this with the help of MATLAB.

Q$.$ Consider fitting a nonlinear curve to the data points

x $=[-1\mathrm{.}000000\mathrm{.}50001\mathrm{.}00002\mathrm{.}25003\mathrm{.}00003\mathrm{.}4000]$

y $=[0\mathrm{.}37151\mathrm{.}08491\mathrm{.}74212\mathrm{.}78629\mathrm{.}563520\mathrm{.}159930\mathrm{.}0033]$

$($a$)$ For the different transformation in this chapter, plot the corresponding transformed data, and decide which looks closest to linear.

$($b$)$ Find a curve of best fit for the data.