Answer the Questions in the assignment 6 file with the explanation and reasoning

Answer the Questions in the assignment 6 file with the explanation and reasoning. Please don’t just write the correct answer. The assignment needs to be completed using Latex, and the uploaded assignment submission MUST be in PDF format. I have uploaded a latex template for Assignment 6. This template works in Overleaf. You should upload the template as the source file for a new project in Overleaf.
p.s: For problem 3, please upload the R code as a supplement of the graph in Latex. Thank you!