QUESTION $2.$

$[15$ marks$]$

a$).$ The data contained in Table $2$ are the experimental semi$-$variograms values found for copper grades of $10$ m drill core samples. Plot the semi$-$variogram for only the east$-$west data on the graph sheet provided

i$.$ Fit theoretical model to experimental semi$-$variogram.

ii$.$ Determine the sill, range and nugget effect from the fitted model

$\backslash$table$[[$East$-$W$6$st$,$North$-$South,$],[$Distance $($m$),\backslash$gamma $($h$),$Distance $($m$),\backslash$gamma $($h$)],[10,5\mathrm{.}5,10,4\mathrm{.}8],[20,6\mathrm{.}3,20,5\mathrm{.}70],[30,7\mathrm{.}7,30,5\mathrm{.}5],[40,8\mathrm{.}2,40,6\mathrm{.}4],[50,8\mathrm{.}9,50,6\mathrm{.}5],[60,9\mathrm{.}5,60,6\mathrm{.}8],[70,9\mathrm{.}4,70,7\mathrm{.}5],[80,10\mathrm{.}1,80,7\mathrm{.}8],[90,9\mathrm{.}7,90,7\mathrm{.}9],[100,11\mathrm{.}2,100,8\mathrm{.}4],[110,10\mathrm{.}6,110,8\mathrm{.}8],[120,9\mathrm{.}7,120,8\mathrm{.}7],[130,10\mathrm{.}2,130,9\mathrm{.}4],[140,9\mathrm{.}6,140,9],[150,11\mathrm{.}4,150,9\mathrm{.}5],[160,9\mathrm{.}8,160,10\mathrm{.}4],[170,10\mathrm{.}2,170,9\mathrm{.}6],[,,180,9\mathrm{.}3],[,,190,10\mathrm{.}5],[,,200,11\mathrm{.}1],[,,210,9\mathrm{.}8],[,,220,9\mathrm{.}3]]$