Difference between revisions of "FitSin Command"

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{{command|cas=true|statistics}}
 
{{command|cas=true|statistics}}
 
;FitSin[ <List of Points> ]
 
;FitSin[ <List of Points> ]
:Calculates the regression curve in the form ''a + b sin(c x + d)''.
+
:Calculates the regression curve in the form ''a + b sin (c x + d)''.
:{{example| 1=<div><code><nowiki>FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}]</nowiki></code> yields ''1 + sin(1.5708 x - 1.5708)''.</div>}}
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:{{example| 1=<div><code><nowiki>FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}]</nowiki></code> yields ''f(x) = 1 + 1 sin (1.5708 x - 1.5708)''.</div>}}
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{{note| 1=<div>
 
{{note| 1=<div>
 
*The list should have at least four points, preferably more. The list should cover at least two extremal points. The first two local extremal points should not be too different from the absolute extremal points of the curve.
 
*The list should have at least four points, preferably more. The list should cover at least two extremal points. The first two local extremal points should not be too different from the absolute extremal points of the curve.
 
*See also [[FitExp Command]], [[FitLog Command]], [[FitPoly Command]] and [[FitPow Command]].
 
*See also [[FitExp Command]], [[FitLog Command]], [[FitPoly Command]] and [[FitPow Command]].
 
</div>}}
 
</div>}}
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==CAS Syntax==
 +
;FitSin[ <List of Points> ]
 +
:Calculates the regression curve in the form ''a + b sin (c x + d)''.
 +
:{{example| 1=<div><code><nowiki>FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}]</nowiki></code> yields ''1 + 1 sin (1.5708 x - 1.5708)''.</div>}}

Revision as of 07:42, 27 August 2013



FitSin[ <List of Points> ]
Calculates the regression curve in the form a + b sin (c x + d).
Example:
FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}] yields f(x) = 1 + 1 sin (1.5708 x - 1.5708).


Note:
  • The list should have at least four points, preferably more. The list should cover at least two extremal points. The first two local extremal points should not be too different from the absolute extremal points of the curve.
  • See also FitExp Command, FitLog Command, FitPoly Command and FitPow Command.


CAS Syntax

FitSin[ <List of Points> ]
Calculates the regression curve in the form a + b sin (c x + d).
Example:
FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}] yields 1 + 1 sin (1.5708 x - 1.5708).
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