i have two array x=[1 6 8 9],y=[3 6 9 14],then i plot (x,y) in matlab. i have no linear equation of x,y. i have only above array of x and y. if value of x is 4 then what is the value of y.
is it possible using logic?
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x=[1 6 8 9]; y=[3 6 9 14]; interp1(x,y,4,'linear')
There is an infinite number of possible values: You can e.g. define an infinite number of polynomials through these points. And there are much more functions than only polynomials.
Therefore this problem cannot be solved, when there are no further restrictions.
One workaround would be to choose 19. This is not really serious, but fast and it solves the question as good as any other value also. The choice of 19 is explained in Carl E. Liderholm: "Mathematics Made Difficult", 1972:
Each sequence of natural number can be continued by 19.