Programmer Guide/Command Reference/EVAL/rpolyreg: Difference between revisions
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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] | :;<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>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>]] | ||
Revision as of 13:53, 11 April 2011
Linear, multivariant and polynominal regression.
- Usage 1
rpolyreg(xvector, yvector {, m}):- x
- x data vector
- y
- y data vector:
y[i] = f(x[i] {, x[i]^2, .., x[i]^m}) - m
- the regression (polynom) order; m>0 (default=1)
- Result 1
- A vector r with the m+1 coefficients or the regression polynom.
yREG[i] = r[0] + r[1]*x[i] {+ r[2]*x[i]^2 + r[m]*x[i]^m}
