Write the experiment objectives, aims, procedures, results, and conclusions.

PARTA: $(5$ MARKS$)$

Find through hand calculations the polynomial $(3$rd order $-$ polynomial$)$ which passes through $(-0\mathrm{.}5,-1),(2\mathrm{.}05,3\mathrm{.}2),(4,10\mathrm{.}3),$ and $(6,15\mathrm{.}2)$ using the LEAST SQUARE APPROXIMATION.

Use the model for Linear Interpolation to find the value of the $Y$ axis, once $x=5\mathrm{.}5.$

PART B: $(5$ MARKS$)$

Write a code $($in Matlab, python, or n C$++)($your code$)$ for the creation of LINEAR INTERPOLATION $($LEAST SQUARE APPROXIMATION AND CURVE$-$FITTING. $(5$ marks$).$

Verify your coding and results using $($matlab$,$ c$++,$ or python$)$ solution, for any point on space.

Compare your hand algorithm solution with the script coding.