Foundation of Regression - Exercise class

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• SIS page: NMFM334
• Schedule: officially on Tuesday 12:20 - 13:50 in classroom K4
• Language: materials in English, instructed in Czech (unless anybody requires English)
• Instructor e-mail: vavraj@karlin.mff.cuni.cz
• Lecture web page: https://www2.karlin.mff.cuni.cz/~maciak/teaching.php

Credit

• Presence at exercise classes: at least 9 out of 12 (overview in SIS).
• Homework assignment: student has to hand in a solution in sufficient quality
• every student has his special assignment given in SIS
• Deadline: 13.5.2025 at 9:00
• please, send your solution (preferably in PDF format) to your tutor’s e-mail: vavraj@karlin.mff.cuni.cz or hlavka@karlin.mff.cuni.cz

Overview

Exercise 1 Review of statistical methods

• Dataset: Cars2004nh dataset from library(mffSM)
• R file: exercise_01
• Rmd file: exercise_01

Exercise 2 Introduction to fitting linear models

• Dataset: peat
• R file: exercise_02
• Rmd file: exercise_02

Exercise 3 Simple (ordinary) linear regression model for a continuous variable

• Dataset: Boston dataset from library(ISLR2)
• R file: exercise_03
• Rmd file: exercise_03

Exercise 4 Multiple regression model - numeric covariates

• Dataset: mtcars
• R file: exercise_04
• Rmd file: exercise_04

Exercise 5 Multiple regression model - additive model

• Dataset: mtcars
• R file: exercise_05
• Rmd file: exercise_05

Exercise 6 Interactions, transformations, hierarchy

• Dataset: Dris and AAUP from library(mffSM), peat
• R file: exercise_06
• Rmd file: exercise_06

Exercise 7 Model assumptions and graphical diagnostic tools

• Dataset: Dris and Motorcycle from library(mffSM)
• R file: exercise_07
• Rmd file: exercise_07

Exercise 8 Statistical inference in a normal linear model

• Dataset: Dris from library(mffSM)
• R file: exercise_08
• Rmd file: exercise_08

Exercise 9 Log-transformation of the response

• Dataset: chicago
• R file: exercise_09
• Rmd file: exercise_09

Exercise 10 Heteroscedastic models

• Dataset: Hlavy from library(mffSM) and mana
• R file: exercise_10
• Rmd file: exercise_10

Exercise 11 Generalized linear model and nonlinear regression model

• Dataset: mtcars
• R file: exercise_11
• Rmd file: exercise_11

Exercise 12 Outlying observations and leverage points

• Dataset: mtcars and Animals from library(MASS)
• R file: exercise_12
• Rmd file: exercise_12

Exercise 13 ?

• Dataset:
• R file: exercise_13
• Rmd file: exercise_13