Complete exercises $q,$

$q,,11\mathrm{.}12q,$ You are going to skip $11\mathrm{.}11.$ In $11\mathrm{.}13,$ you will compare models built to address $11\mathrm{.}10,11\mathrm{.}12,$ and $11\mathrm{.}13.$

Submit your work as two attachments: $(1)$an HTML document containing all the code $+$ associated explanations $+$ outputs $+$ your interpretation of the results, organized in a systematic way with appropriate sections and subsections, and $(2)$ the $.$Rmd version of the file can be extracted, or directly as a $.$Rmd file.

Your submission should include an appropriate header that indicates the assignment number and week number, and include your name to appear prominently $($consult this week's notebook and $.$Rmd files for reference$).$ Ensure that your written responses have no issues of spelling and grammar that affect the clarity of your explanations. Also ensure that you partition the document into specific sections that map onto the specific exercise question numbers $($e$.$g$.,$ have specific sections for $11\mathrm{.}10,11,12.,$ and so on$).$

Reference requirement:

Provide references to specific sections from the textbook and$/$or the lecture notes and$/$or lecture videos for your choice of priors and the rationale associated with your interpretation of results of your analyses.

Here is that You have to solve $($will give you good rating if solved correct$)$ :

Question:

Exercise $11\mathrm{.}12($Penguins$!3$ predictors$)$ Next, let's explore a model of body$\_$mass$\_$g by three predictors: flipper$\_$length$\_$mm $,$ bill$\_$length$\_$mm $,$ and bill$\_$depth$\_$mm $.$ Do not use any interactions in this model.

a$.$ Use to simulate the posterior for this model.

b$.$ Use posterior$\_$interval$()$ to produce $95\%$ credible intervals for the model parameters.

c$.$ Based on these $95\%$ credible intervals, when controlling for the other predictors in the model, which predictors have a significant positive association with body mass, which have significant negative association with body mass, and which have no significant association?