Plot yerr/xerr as shaded region rather than error bars

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Ignoring the smooth interpolation between points in your example graph (that would require doing some manual interpolation, or just have a higher resolution of your data), you can use pyplot.fill_between():

from matplotlib import pyplot as plt
import numpy as np

x = np.linspace(0, 30, 30)
y = np.sin(x/6*np.pi)
error = np.random.normal(0.1, 0.02, size=y.shape)
y += np.random.normal(0, 0.1, size=y.shape)

plt.plot(x, y, 'k-')
plt.fill_between(x, y-error, y+error)
plt.show()

enter image description here

See also the matplotlib examples.

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