Programmer Guide/Command Reference/EVAL/rpolyreg: Difference between revisions
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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>]] | ||
Revision as of 14:49, 11 April 2011
Linear, multivariant and polynominal regression.
- Usage 1
rpolyreg(xvector, yvector):- x
- x data vector
- y
- y data vector:
y[i] = f(x[i])
- Result 1
- A vector r with the two linear regression coefficients.
yREG[i] = r[0] + r[1]*x[i]
- 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>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
