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added illustration of polyfit
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images/polyfit.pdf

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images/src/polyfit.py

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import numpy as np
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import numpy.polynomial.polynomial as P
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from pyx import color, deco, graph, style
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np.random.seed(987)
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x = np.pi*np.linspace(0, 1, 100)
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y = np.sin(x)+0.1*np.random.rand(100)
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fit = P.Polynomial(P.polyfit(x, y, 2))
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g = graph.graphxy(width=8,
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x=graph.axis.lin(title=r'\Large $x$', divisor=np.pi,
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texter=graph.axis.texter.rational(suffix=r'\pi')),
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y=graph.axis.lin(min=0, max=1.1, title=r'\Large $y$',
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parter=graph.axis.parter.lin(tickdists=[0.2])))
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origdata = list(zip(x, y))
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symbolattrs = [deco.filled, color.hsb(0.6, 1, 0.7)]
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g.plot(graph.data.points(origdata, x=1, y=2),
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[graph.style.symbol(graph.style.symbol.circle, 0.07,
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symbolattrs=symbolattrs)])
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fitdata = list(zip(x, fit(x)))
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lineattrs = [color.hsb(0.05, 1, 0.7), style.linewidth.THick]
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g.plot(graph.data.points(fitdata, x=1, y=2),
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[graph.style.line(lineattrs=lineattrs)])
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g.writePDFfile()

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