how can I interpolate?

hi all. I have some data and I want to interpolate z in this data. I used this code:

 % year2012=xlsread('year2012');
 year2012=double(year2012);
 X=year2012(1:91,1);
 Y=year2012(1:91,2);
 Z=year2012(1:91,3);
 x=year2012(1:91,4);
 y=year2012(1:91,5);
 z = interp2(X,Y,Z,x,y);

but I have this error :

    % Error using griddedInterpolant
 The coordinates of the input points must be finite values; Inf and NaN are not permitted.

 Error in interp2>makegriddedinterp (line 228)
    F = griddedInterpolant(varargin{:});

 Error in interp2 (line 128)
        F = makegriddedinterp({X, Y}, V, method,extrap);

 Error in new (line 19)
 z = interp2(X,Y,Z,x,y,'nearest');code

I attached my data and I think my data is true. can you please guide me?

[per isakson]

Hint:

[jack nn]

thanks dear Isakson. I just used 1:91 in my code.

Answer 1

[Andrei Bobrov]

use scatteredInterpolant

F = scatteredInterpolant(X,Y,Z);
out = F(x,y);

[jack nn]

thanks dear Andrei Bobrov. I used this and I got answer.. but Is this work like interpolation? I mean that Imagine that we have X and Y and our observation in this point IS Z and (X,Y) is nearest point to (x,y) and now we should find the observation in (x,y) point, z. Is this code can help me? this picture may help you.

thanks

[Walter Roberson]

zbar = F(xbar, ybar)

[jack nn]

thanks dear Walter Roberson. what is F in this command? how can I define this function?

[Walter Roberson]

Like Andrei posted, F = scatteredInterpolant(X,Y,Z);

[jack nn]

thanks, dear Walter Roberson. Can I ask an other question?

[Walter Roberson]

Go ahead and create another Question.