Statistical Rethinking (2nd Ed), Solutions to Problems 13E2-13E3 | Multilevel Model, effect on prior

13E2:
Rewrite the following model as a multilevel model.
yi∼Binomail(1,pi)
logit(pi)=αGroupi+βxi
αGroupi∼Normal(0,1.5)
β∼Normal(0,0.5)

13E3:
Rewrite the following model as a multilevel model.
yi∼Normal(μi,σ)
μi=αGroupi+βxi
αGroupi∼Normal(0,5)
β∼Normal(0,1)
σ∼Exponential(1)


Statistical Rethinking Book: https://shorturl.at/aqLW1
Statistical Rethinking Lecture Series: https://shorturl.at/gnp48
Statistical Rethinking Github: https://github.com/rmcelreath/rethinking
Make DAGs online: https://www.dagitty.net/
Pearl's Book on Causality and DAGs: https://www.amazon.com/Causal-Inferen...
Applebaum's book on Probability and Information: https://shorturl.at/hrtW6
Stone's book on Information: https://shorturl.at/aqwNS
My Answers: https://colab.research.google.com/dri...
My GitHub Folder: https://github.com/nicklausmillican/S...