The data shown below were obtained by time$-$lapse photography on a highway. Use regression analysis to fit these data to the Greenshields model and determine the following.

$\backslash$table$[[$Speed $(m\frac{i}{h}),$Density veh$/$mi$)],[17\mathrm{.}1,88],[26\mathrm{.}7,73],[34\mathrm{.}2,58],[42\mathrm{.}1,44],[52\mathrm{.}8,23],[56\mathrm{.}0,18]]$

$($a$)$ the mean free speed $($in $m\frac{i}{h})$

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. $m\frac{i}{h}$

$($b$)$ the jam density $($in veh$/$mi$)$

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. veh$/$mi

$($c$)$ the capacity $($in veh$/$h$)$

$($d$)$ the speed at maximum flow $($in $m\frac{i}{h})$

Your response differs from the correct answer by more than $100\%.$ mi$/$h