how do you create a linear regression forecast on time series data in python

Question

I need to be able to create a python function for forecasting based on linear regression model with confidence bands on time-series data:

The function needs to take an a

Answer 1

Note: this is not a detailed canonical answer, but references to available libraries that apply to your domain (statistical models).

For python, you could use:

• scipy : scipy.stats.linregress
  • e.g. http://glowingpython.blogspot.com/2012/03/linear-regression-with-numpy.html (uses scipy.stats.linregress)
• statsmodels: here are some examples.
• sklearn: here is the documentation.

There are some good articles:

• http://davidcoallier.com/blog/linear-regression-from-r-to-python/, in particular it has a section about forecasting.
• http://connor-johnson.com/2014/02/18/linear-regression-with-python/, another article, shows both using statsmodels and sklearn.