Programmer Guide/Command Reference/EVAL/rpolyreg - Revision history

193.171.195.48 at 10:38, 21 April 2011

2011-04-21T10:38:35Z

← Older revision		Revision as of 12:38, 21 April 2011
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	::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>
	----		----
	;See also: [[../rpoly\|rpoly]], [[..~~/EVAL~~/interp\|interp]], [[..~~/EVAL~~/rleqs\|rleqs, cleqs]]		;See also: [[../rpoly\|rpoly]], [[../interp\|interp]], [[../rleqs\|rleqs, cleqs]], [[../svd\|svd]]

	[[../#Functions\|<function list>]]		[[../#Functions\|<function list>]]

193.171.195.48 at 10:38, 21 April 2011

2011-04-21T10:38:12Z

← Older revision		Revision as of 12:38, 21 April 2011
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	::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>
	----		----
	;See also: [[~~Programmer_Guide/Command_Reference/EVAL~~/rpoly\|rpoly]], [[~~Programmer_Guide/Command_Reference~~/EVAL/interp\|interp]], [[~~Programmer_Guide/Command_Reference~~/EVAL/rleqs\|rleqs, cleqs]]		;See also: [[../rpoly\|rpoly]], [[../EVAL/interp\|interp]], [[../EVAL/rleqs\|rleqs, cleqs]]

	[[~~Programmer_Guide~~/~~Command_Reference/EVAL~~#Functions\|<function list>]]		[[../#Functions\|<function list>]]

Toni at 14:56, 12 April 2011

2011-04-12T14:56:43Z

← Older revision		Revision as of 16:56, 12 April 2011
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	::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>
	----		----
	;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]], [[Programmer_Guide/Command_Reference/EVAL/rleqs\|rleqs, cleqs]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

193.171.195.48 at 07:43, 12 April 2011

2011-04-12T07:43:17Z

← Older revision		Revision as of 09:43, 12 April 2011
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	:;<var>x</var>: ''x'' data matrix, the regression order is the number of independent variables <code>''m''=ncol(''x'')</code>		:;<var>x</var>: ''x'' data matrix, the regression order is the number of independent variables <code>''m''=ncol(''x'')</code>
	:;<var>y</var>: ''y'' data vector: <code>''y''[i] = f(''x''[i,*])</code>		:;<var>y</var>: ''y'' data vector: <code>''y''[i] = f(''x''[i,*])</code>
	;Result 2: Approximate the function ''y'' using a multivariant linear regression. The result is the vector ''r'' with the ''m''+1 regression coefficients.		;Result 2: Approximate the function ''y'' using multivariant linear regression. The result is the vector ''r'' with the ''m''+1 regression coefficients.
	::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>
	----		----

193.171.195.48 at 07:39, 12 April 2011

2011-04-12T07:39:23Z

← Older revision		Revision as of 09:39, 12 April 2011
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	----		----
	;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var> {, <var>m</var>})</code>:		;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var> {, <var>m</var>})</code>:
	:;<var>x</var>: x data vector		:;<var>x</var>: ''x'' data vector
	:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i] {, ''x''[i]^2, .., ''x''[i]^''m''})</code>		:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i] {, ''x''[i]^2, .., ''x''[i]^''m''})</code>
	:;<var>m</var>: the regression (polynom) order; m>0 (default=1)		:;<var>m</var>: the regression (polynom) order; m>0 (default=1)
	;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.		;Result 1: Approximate the function ''y'' using polynominal regression. The result is the vector ''r'' with the ''m''+1 coefficients of the regression polynom.
	::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] {+ ''r''[2]''x''[i]^2 + .. + ''r''[''m'']*''x''[i]^''m''}</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] {+ ''r''[2]''x''[i]^2 + .. + ''r''[''m'']*''x''[i]^''m''}</code>
			----
			;Usage 2: <code>rpolyreg(<var>x<sub>matrix</sub></var>, <var>y<sub>vector</sub></var> {, <var>m</var>})</code>:
			:;<var>x</var>: ''x'' data matrix, the regression order is the number of independent variables <code>''m''=ncol(''x'')</code>
			:;<var>y</var>: ''y'' data vector: <code>''y''[i] = f(''x''[i,*])</code>
			;Result 2: Approximate the function ''y'' using a multivariant linear regression. The result is the vector ''r'' with the ''m''+1 regression coefficients.
			::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i,0] + .. + ''r''[''m'']''x''[i,''m''-1]</code>
	----		----
	;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 12:53, 11 April 2011

2011-04-11T12:53:39Z

← Older revision		Revision as of 14:53, 11 April 2011
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	:;<var>m</var>: the regression (polynom) order; m>0 (default=1)		:;<var>m</var>: the regression (polynom) order; m>0 (default=1)
	;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.		;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.
	::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] {+ ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''}</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] {+ ''r''[2]''x''[i]^2 + .. + ''r''[''m'']*''x''[i]^''m''}</code>
	----		----
	;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 12:53, 11 April 2011

2011-04-11T12:53:20Z

← Older revision		Revision as of 14:53, 11 April 2011
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	Linear, multivariant and polynominal regression.		Linear, multivariant and polynominal regression.
	----		----
	;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var>)</code>:		;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var> {, <var>m</var>})</code>:
	:;<var>x</var>: x data vector		:;<var>x</var>: x data vector
	:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i]~~)</code>~~		:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i] {, ''x''[i]^2, .., ''x''[i]^''m''})</code>
	~~;Result 1: A vector ''r'' with the two linear regression coefficients.~~		:;<var>m</var>: the regression (polynom) order; m>0 (default=1)
	~~::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i]</code>~~
	~~----~~
	~~;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var>, <var>m</var>)</code>:~~
	~~:;<var>x</var>: x data vector~~
	~~:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i]~~, ''x''[i]^2, .., ''x''[i]^''m'')</code>
	:;<var>m</var>: the regression (polynom) order; m>1
	;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.		;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.
	::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] + ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] {+ ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''}</code>
	----		----
	;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 12:50, 11 April 2011

2011-04-11T12:50:29Z

← Older revision		Revision as of 14:50, 11 April 2011
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	:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i])</code>		:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i])</code>
	;Result 1: A vector ''r'' with the two linear regression coefficients.		;Result 1: A vector ''r'' with the two linear regression coefficients.
	:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i]</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i]</code>
	----		----
	;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var>, <var>m</var>)</code>:		;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var>, <var>m</var>)</code>:
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	:;<var>m</var>: the regression (polynom) order; m>1		:;<var>m</var>: the regression (polynom) order; m>1
	;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.		;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.
	:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] + ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''</code>		::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] + ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''</code>
	----		----
	;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 12:49, 11 April 2011

2011-04-11T12:49:59Z

← Older revision		Revision as of 14:49, 11 April 2011
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	:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i])</code>		:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i])</code>
	;Result 1: A vector ''r'' with the two linear regression coefficients.		;Result 1: A vector ''r'' with the two linear regression coefficients.
	:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i]<code>		:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i]</code>
	----		----
	;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var>, <var>m</var>)</code>:		;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var>, <var>m</var>)</code>:
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	:;<var>m</var>: the regression (polynom) order; m>1		:;<var>m</var>: the regression (polynom) order; m>1
	;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.		;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.
	:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] + ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''<code>		:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] + ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''</code>
	----		----
	;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 12:49, 11 April 2011

2011-04-11T12:49:32Z

← Older revision		Revision as of 14:49, 11 April 2011
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	:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i])</code>		:;<var>y</var>: y data vector: <code>''y''[i] = f(''x''[i])</code>
	;Result 1: A vector ''r'' with the two linear regression coefficients.		;Result 1: A vector ''r'' with the two linear regression coefficients.
	:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i]		:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i]<code>
	----		----
	;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var>, <var>m</var>)</code>:		;Usage 1: <code>rpolyreg(<var>x<sub>vector</sub></var>, <var>y<sub>vector</sub></var>, <var>m</var>)</code>:
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	:;<var>m</var>: the regression (polynom) order; m>1		:;<var>m</var>: the regression (polynom) order; m>1
	;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.		;Result 1: A vector ''r'' with the ''m''+1 coefficients or the regression polynom.
	:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] + ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''		:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]''x''[i] + ''r''[2]''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''<code>
	----		----
			;See also: [[Programmer_Guide/Command_Reference/EVAL/rpoly\|rpoly]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]

			[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]