Difference between revisions of "FitPoly Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
;FitPoly[ <List of Points>, <Degree of Polynomial> ]
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;FitPoly( &lt;List of Points>, <Degree of Polynomial> )
 
:Calculates the regression polynomial of degree ''n''.
 
:Calculates the regression polynomial of degree ''n''.
:{{example| 1=<div><code><nowiki>FitPoly[{(-1, -1), (0, 1), (1, 1), (2, 5)}, 3]</nowiki></code> yields ''f(x) = x<sup>3</sup> - 1 x<sup>2</sup> + 1''.</div>}}
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:{{example| 1=<code><nowiki>FitPoly({(-1, -1), (0, 1), (1, 1), (2, 5)}, 3)</nowiki></code> yields ''f(x) = x<sup>3</sup> - 1 x<sup>2</sup> + 1''.}}
  
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;FitPoly( &lt;Freehand Function>, <Degree of Polynomial> )
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:Calculates the regression polynomial of degree ''n'' for a function drawn by the [[Freehand Shape Tool]].
  
 
==CAS Syntax==
 
==CAS Syntax==
;FitPoly[ <List of Points>, <Degree of Polynomial> ]
+
;FitPoly( &lt;List of Points>, <Degree of Polynomial> )
 
:Calculates the regression polynomial of degree ''n''.
 
:Calculates the regression polynomial of degree ''n''.
:{{example| 1=<div><code><nowiki>FitPoly[{(-1, -1), (0, 1), (1, 1), (2, 5)}, 3]</nowiki></code> yields ''x<sup>3</sup> - x<sup>2</sup> + 1''.</div>}}
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:{{example| 1=<code><nowiki>FitPoly({(-1, -1), (0, 1), (1, 1), (2, 5)}, 3)</nowiki></code> yields ''x<sup>3</sup> - x<sup>2</sup> + 1''.}}
  
  
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* For order ''n'' there must be at least ''n + 1'' Points in the list.
 
* For order ''n'' there must be at least ''n + 1'' Points in the list.
 
* See also [[FitExp Command]], [[FitLog Command]], [[FitPow Command]] and [[FitSin Command]].
 
* See also [[FitExp Command]], [[FitLog Command]], [[FitPow Command]] and [[FitSin Command]].
 +
* If you work with big/small numbers, you should consider normalizing them for a more accurate result, see  [[Normalize Command]].
 
</div>}}
 
</div>}}

Latest revision as of 11:40, 4 February 2019


FitPoly( <List of Points>, <Degree of Polynomial> )
Calculates the regression polynomial of degree n.
Example: FitPoly({(-1, -1), (0, 1), (1, 1), (2, 5)}, 3) yields f(x) = x3 - 1 x2 + 1.


FitPoly( <Freehand Function>, <Degree of Polynomial> )
Calculates the regression polynomial of degree n for a function drawn by the Freehand Shape Tool.

CAS Syntax

FitPoly( <List of Points>, <Degree of Polynomial> )
Calculates the regression polynomial of degree n.
Example: FitPoly({(-1, -1), (0, 1), (1, 1), (2, 5)}, 3) yields x3 - x2 + 1.


Note:
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