Experimental System Parameter Identification. The following set of data was collected from a system. Plot the response. What is the steady state asymptote? Use the natural log analysis technique to determine if it would be appropriate to assume that this system is first order. Whether you think it is close enough or not, let's now assume it is$,$ in which case you must now find the time constant of the system.

Xout$($t$)$ t

$00$

$1\mathrm{.}40\mathrm{.}1$

$2\mathrm{.}30\mathrm{.}2$

$30\mathrm{.}3$

$3\mathrm{.}60\mathrm{.}4$

$4\mathrm{.}10\mathrm{.}5$

$4\mathrm{.}20\mathrm{.}6$

$4\mathrm{.}60\mathrm{.}7$

$4\mathrm{.}70\mathrm{.}8$

$4\mathrm{.}80\mathrm{.}9$

$4\mathrm{.}91$