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			| citydavid | 
				
				
					|  Post subject: LSFitLinear: cubic interpolation  Posted:  Mon May 31, 2010 10:26 pm  |  | 
		
			| Joined: Mon May 31, 2010 10:13 pm
 Posts: 1
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					| I'm a newbie with ALGLIBI'm using a0*x^3+a1*x^2+a2*x+a3 to interpolate data values with LSFitLinear:
 x         y
 46       68
 70       120
 94       138
 95       145
 102     165
 120     205
 I notice wrong result and I have solved the problem scaling input by dividing by 100. What I do wrong?
 
 Regards,
 
 David
 
 
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			| Sergey.Bochkanov | 
				
				
					|  Post subject: Re: LSFitLinear: cubic interpolation  Posted:  Thu Jun 03, 2010 7:22 pm  |  | 
		
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					| Site Admin |  Joined: Fri May 07, 2010 7:06 am
 Posts: 930
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					| Looks like your problem has very bad condition number. Scaling makes it less apparent but doesn't solve.
 I think that right solution is to use Chebyshev polynomials for fitting, than convert to power basis. I'll include this code in the next release of ALGLIB.
 
 
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