$4\mathrm{.}4\mathrm{.}5$ Drawdown was measured during a pumping test in a confined aquifer at frequent intervals in an observation well $200ft$ from a well that was pumped at a constant rate of $500gpm.$ The data for this pump test is listed below. Determine $T$ and $S$ for this aquifer.

$\backslash$table$[[$Pump test data$],[$Time $($min$),$Drawdown $($ft$)],[1,0\mathrm{.}05],[2,0\mathrm{.}22],[3,0\mathrm{.}40],[4,0\mathrm{.}56],[5,0\mathrm{.}70],[7,0\mathrm{.}94],[10,1\mathrm{.}2],[20,1\mathrm{.}8],[40,2\mathrm{.}5],[100,3\mathrm{.}4],[300,4\mathrm{.}5],[1,000,5\mathrm{.}6],[4,000,7]]$