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>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i]
----
----
;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>:
Line 12: Line 12:
:;<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>1
:;<var>m</var>: the regression (polynom) order; m>1
;Result 1: A vector ''r'' with the two linear regression coefficients.  
;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]
:<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i] + ''r''[2]*''x''[i]^2 + ''r''[''m'']*''x''[i]^''m''
----
----

Revision as of 13:47, 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

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