$5\mathrm{.}6$ Sample $4$ from the previous data set was flooded with crude oil, in several steps, in order to displace the brine. The remaining water saturation and $V$ values were measured at each of these displacement steps. Based on the measured data given in the following and other data from problem $5\mathrm{.}5,$ calculate the true formation resistivity $R_t$ as a function of water saturation $S_w$ and subsequently determine the saturation exponent $n$ of the Archie's saturation equation.

$\backslash$table$[[$Water Saturation,$],[($Fraction$),V(V)$