Analysing Posterior Predictive Distributions with PyMC3

Note that the mean of 31.949 was slightly higher than the prior estimation, while the standard deviation was significantly higher at 7.823. Having taken the data into account, it would make sense in hindsight that the standard deviation is higher than originally expected. After all, numerous patients in the dataset are not diabetic. Moreover, while one might expect a positive correlation between BMI and diabetes, this is based on a prior belief -- we do not have hard evidence that this is the case without looking at the data.