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?

2012 11 29
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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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Matt Fig
Matt Fig 2012-11-29

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x=[1 6 8 9];
y=[3 6 9 14];
interp1(x,y,4,'linear')

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Matt Fig
Matt Fig 2012-11-29
Use the same approach, simply with the new values. You can use any of the interpolating methods available int INTERP1. Have a look at the help:
help interp1
vipul utsav
vipul utsav 2012-11-29
yes i read help,but for 11 inter11 doesn't work. and for 4 it is work. 11 is outside of maximum value in x.
Matt Fig
Matt Fig 2012-11-29
编辑：Matt Fig 2012-11-29
If you read the help, you would see there is an extrapolation option. When you want to look at values outside the range, you are extrapolating. You should also know that extrapolating is usually something one does not want to do for real applications.... especially for so sparsely populated data as this!
interp1(x,y,11,'linear','extrap')
If your original question has been answered, please accept the answer.

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Jan
Jan 2012-11-29
编辑：Jan 2012-11-29

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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.

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