Q$1$: The following core data were obtained from a sandstone reservoir.

$\backslash$table$[[$Porosity$,$Permeability $($mD$)],[0\mathrm{.}03,5],[0\mathrm{.}18,160],[0\mathrm{.}13,90],[0\mathrm{.}22,96],[0\mathrm{.}15,104],[0\mathrm{.}24,301],[0\mathrm{.}27,310],[0\mathrm{.}25,121],[0\mathrm{.}08,35],[0\mathrm{.}11,86],[0\mathrm{.}20,175],[0\mathrm{.}28,370]]$

a$.$ Fit the data with a power equation.

b$.$ Explain why some points lie outside the general trend.

c$.$ Predict the permeability of a core sample from the reservoir if its porosity is $0\mathrm{.}17.$