MLE of a Gaussian p_{model}pmodel (50 points)

The above notebook presents an array of data points called data and plots several hypotheses involving the negative log-likelihood. Estimate the parameters of the Gaussian p_{model}pmodel by adding the code that implements this estimation in the placeholder provided (20 points) and explaining what it does (30 points).

MLE of a Gaussian p_{model}pmodel for a regression problem (50 points)

Repeat for the regression problem given (20 points for a correct implementation and 30 points for adequate explanation).

Notebook: https://colab.research.google.com/gist/pantelis/94b926ab7def66f0ab5cde13b1704a53/maximum_likelihood_lecture_example.ipynb#scrollTo=8Jt3N5AgrPZh