Problem $1(25$ points$)$

Noisy data for the step response of a boiler temperature T to a decrease in air flow rate of q fron $1200$ to $950$ cfm is shown below. Develop a model$)$ using the $S$&$K$ method and compare the model $($use a solid line$)$ developed to the data $($use an $*)$ in a properly labeled plot.

$\backslash$table$[[\backslash$table$[[$Time$],[(min)$

Note: Please explain the concept of finding the gain for this problem in detail $($I find it confusing$)$