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Task/Multiple-regression/PicoLisp/multiple-regression-2.l
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Task/Multiple-regression/PicoLisp/multiple-regression-2.l
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(de matInverse (Mat)
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(let N (length Mat)
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(unless (= N (length (car Mat)))
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(quit "can't invert a non-square matrix") )
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(mapc conc Mat (matIdent N))
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(mapcar '((L) (tail N L)) (reducedRowEchelonForm Mat)) ) )
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(de columnVector (Ary)
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(mapcar cons Ary) )
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(de regressionCoefficients (Mat X)
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(let Xt (matTrans X)
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(matMul (matMul (matInverse (matMul Xt X)) Xt) Mat) ) )
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(setq
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Y (columnVector (1.0 2.0 3.0 4.0 5.0))
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X (columnVector (2.0 1.0 3.0 4.0 5.0)) )
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(round (caar (regressionCoefficients Y X)) 17)
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