Question: Surface fit with boundary conditions

Hello dear Maple users! I have the following problem that I am trying to solve with maple. I have a set of data points (i made these up for now, the real set has more points) x:=( 1,2,3,4,5,6,7,8 ) y:=( 1,2,3,4,5,6,7,8 ) z:=( 3,1,3,2,4,7,7,9 ) Now, I know how to surface fit this and get maple to formulate an equation for z=f(x,y) with the following statement: w:=(Statistics:-Fit(a + b*x + c*y + d*x^2 + e*x*y+f*y^2,
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