PS509 - Caffeine Dataset - Bayesian Methods - Engineering Assignment Help

Assignment Task :

Questions : (PS509)

1) Using the caffeine dataset from Homework Assignment 3, refit the Bayesian linear model using MCMC estimation and including an interaction between caffeine intake and personality. Note: for this question, we will treat caffeine intake as a continuous variable. 

(a) Run the model and check for convergence.

(b) Plot the model’s predictions.

(c) Refit the models from the previous homework assignment and compare them.

2) A friend is trying to use Bayesian methods to analyze their data (math_skill_data.csv). The dataset contain the scores in a maths test, the age (in months) and the school year for 100 students in primary schools. Your friend wants to model the score in the maths test as a function of the school year and the age. They have run the code below, but not convinced that things are working properly (see the output and error messages below). Can you help them figure out what the problem maybe? 

(a) Can you fix the code and obtain plausible estimates of the parameters?

(b) Once you got the model running, summarize it and examine the output. Does it look like there is any problem with it? What do you think is going on?

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