I was wondering how I could use the parameters of the distribution I found with linear regression to create new datapoints within an interval?
Would I just sample over the scipy’s normal distributions with the mu and standard deviation I came up with in MAP or is there a pymc3 built in I could use for that?
You could technically use the MAP to draw samples from scipy distributions, but I think what you want is to sample from the posterior predictive distribution. Take a look at this talk: