First I looked for a linear two-variable function that fit the given data, namely a function f[x,y]=a*x+b*y+c for some a,b,c that would exactly fit the given data points. Since that failed I increased the degree by 1 to include all second degree combinations of variables x,y namely
f(x,y)=a*x+b*y+c*x^2+d*y^2+e*x*y+f
I was able to find one that exactly fits the data points namely
f(x,y)=(309387967984 - 39145241276 x - 434958311 x^2 + 10320649220 y +
10959785095 x y - 10241576646 y^2)/9608523792
using this we get f(7,11)=-44623643103/1601420632
or approximately -27.865
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Posted by Daniel
on 2017-05-13 13:25:31 |
ugly but works