Difference between revisions of "FitSin Command"

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;FitSin[ <List of Points> ]
 
;FitSin[ <List of Points> ]
 
:Calculates the regression curve in the form ''a + b sin(cx + d)''.
 
:Calculates the regression curve in the form ''a + b sin(cx + d)''.
:{{example| 1=<div><code><nowiki>FitSin[{(0, 1), (2, 4)}]</nowiki></code> gives ''''.</div>}}
+
:{{example| 1=<div><code><nowiki>FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}]</nowiki></code> gives ''1 + sin(1.5708x - 1.5708)''.</div>}}
 
{{note| 1=<div>
 
{{note| 1=<div>
 
*The list should have at least 4 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 4 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.
Line 11: Line 11:
 
;FitSin[ <List of Points> ]
 
;FitSin[ <List of Points> ]
 
:Calculates the regression curve in the form ''a + b sin(cx + d)''.
 
:Calculates the regression curve in the form ''a + b sin(cx + d)''.
:{{example| 1=<div><code><nowiki>FitSin[{(0, 4), (1, 0), (2, -4), (3, 0)}]</nowiki></code> gives ''''.</div>}}
+
:{{example| 1=<div><code><nowiki>FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}]</nowiki></code> gives ''1 + sin(1.5708x - 1.5708)''.</div>}}
 
{{note| 1=<div>
 
{{note| 1=<div>
 
*The list should have at least 4 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 4 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>}}

Revision as of 19:22, 6 August 2011


FitSin[ <List of Points> ]
Calculates the regression curve in the form a + b sin(cx + d).
Example:
FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}] gives 1 + sin(1.5708x - 1.5708).
Note:
  • The list should have at least 4 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(cx + d).
Example:
FitSin[{(1, 1), (2, 2), (3, 1), (4, 0), (5, 1), (6, 2)}] gives 1 + sin(1.5708x - 1.5708).
Note:
  • The list should have at least 4 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.
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