Problem $54$ The following data were gathered to determine the relationship between pressure and temperature of a fixed volume of $1$ kg of nitrogen. The volume is $10m^{\text{'}3}$

$T,C,-40,0,40,80,120,160$

$p,\frac{N}{m^2},6900,8100,9350,10,500,11,700,12,800$

$($a$)$ Generate a labeled plot of the data from table with your name as the title. $($MATIAB$)$

$($b$)$ Fit a straight line to the data with linear regression in MATLAB $($i vour version of the Scrint ii$.$ Using built in command $($polyfit$)$ to verify your resuli$)$ and surerimpose wis line on your plot

$($c$)$ Calculate the Coefficient of Determination $r^2$ then give a command how was your LeastSquares Regression equation compare with mean value $($MATLAB$)$