Consider the following "dataset" with a single feature x$,$ and corresponding true label values

y are shown in the table below

$[16]$

a$)$ Write an equation to explain the relationship between x and y $[2]$

b$)$ Find the updated value of m and c up to the second iteration. $[$Assume the avg

line and its corresponding m and c as the first iteration value. Assume that the

learning rate $=0\mathrm{.}01.$ Use MSE as your cost function here$][8]$

c$)$ Find the final predicted value y$\_$hat for this dataset after $2^("$nd $")$ iteration $[3]$

d$)$ Compute the RMSE between the final predicted values obtained in $($b$)$ and true

label values, showing all work. $[3]$

Solve the problem by showing all the steps.