Polynomial Fitting $[42$ points$]-$ Can I please get assistance with the code I want to see how this is supposed to look if it is block codes or a whole code?

In this problem, we write a program to estimate the parameters for an unknown polynomial using the polyfit$()$ function of the numpy package.

$1)$

Please plot the noisy data and the polynomial you found $($in the same figure$).$ You can use any value of m selected from $2,3,4,5,6.$

$2)$

Plot MSE versus order m$,$ for m $=1,2,3,4,5,6,7,8$ respectively. Identify the best choice of m$.$

$3)$

Change variable noise$\_$scale to $200,300,400,600,800,1000$ respectively, re$-$run the algorithm and plot the polynomials with the m found in $2).$ Discuss the impact of noise scale to the accuracy of the returned parameters. $[$You need to plot a figure like in $1)$ for EACH choice of noise$\_$scale.$]$

$4)$

Change variable number$\_$of$\_$samples to $40,30,20,10$ respectively, re$-$ran the algorithm and plot the polynomials with the m found in $2).$ Discuss the impact of the number of samples to the accuracy of the returned parameters. $[$You need to plot a figure like in $1)$ for EACH choice of number$\_$of$\_$samples.$]$

Please use the following code at the beginning of your program to generate the data.

Simulated data is given as follows in Python:

import matplotlib.pyplot as plt

plt$.$style.use$(\text{'}$seaborn$-$whitegrid'$)$

import numpy as np

noise$\_$scale $=100$

number$\_$of$\_$samples $=50$

x $=30*($np$.$random.rand$($number$\_$of$\_$samples, $1)-0\mathrm{.}5)$

y $=5*$ x $+15*$ x$**2+2*$ x$**3+$ noise$\_$scale$*$np$.$random.randn$($number$\_$of$\_$samples, $1)$

plt$.$plot$($x$,$y$,\text{'}$ro$\text{'})$