Problem $5$: An experiment conducted to find the variation of kinematic viscosity of air with temperature yielded the following results:

$\backslash$table$[[i,1,2,3,4,5,6,7],[$Temperature$,T_i(C),10,20,40,60,80,100,120],[$Viscosity$,{}_i({10}^5\frac{m^2}{sec}),1\mathrm{.}5,1\mathrm{.}6,1\mathrm{.}8,2\mathrm{.}0,2\mathrm{.}1,2\mathrm{.}4,3\mathrm{.}0]]$

Using the data, fit a curve of the form

$=\frac{a\sqrt[\phantom{2}]{T}}{1+\frac{b}{T}}$

where a and $b$ are constants. Plot the least squares curve and the data points for comparison.