tasks a-s
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>>> x = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
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>>> y = [1, 6, 17, 34, 57, 86, 121, 162, 209, 262, 321]
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>>> coeffs = numpy.polyfit(x,y,deg=2)
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>>> coeffs
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array([ 3., 2., 1.])
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>>> yf = numpy.polyval(numpy.poly1d(coeffs), x)
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>>> yf
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array([ 1., 6., 17., 34., 57., 86., 121., 162., 209., 262., 321.])
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>>> '%.1g' % max(y-yf)
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'1e-013'
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>>> x = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
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>>> y = [2.7, 2.8, 31.4, 38.1, 58.0, 76.2, 100.5, 130.0, 149.3, 180.0]
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>>> p = numpy.poly1d(numpy.polyfit(x, y, deg=2), variable='N')
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>>> print p
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2
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1.085 N + 10.36 N - 0.6164
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