Q$3$: Linearizion and regression $(4$ points$)$

Before attempting, first try to solve by yourself the examples in lecture:

Slide $21-23$ of Lecture$23$

Slide $15-18$ of Lecture$24$

The following equation can be used to describe the behavior of a certain physical process:

$\backslash [$

y$=\backslash$left$(\backslash$frac$\{$b $\backslash$sqrt$\{$x$\}\}\{$a$+\backslash$sqrt$\{$x$\}\}\backslash$right$)^\{2\}$

$\backslash ]$

a$)$ Linearize Eq$.1($provide the linearized equation$)$ assuming that $\backslash ($ a $\backslash )$ and $\backslash ($ b $\backslash )$ are constant coefficients. $(1$ pts$)$

b$)$ Using least squares regression and given the following data points, determine the coefficients a and b$.(3$ pts$)$