Regression Models for Data Science in R
Regression Models for Data Science in R
A companion book for the Coursera Regression Models class
About the Book
The ideal reader for this book will be quantitatively literate and has a basic understanding of statistical concepts and R programming. The student should have a basic understanding of statistical inference such as contained in https://leanpub.com/LittleInferenceBook/. The book gives a rigorous treatment of the elementary concepts of regression models from a practical perspective. After reading the book and watching the associated videos, students will be able to perform multivariable regression models and understand their interpretations.
Packages
The Book
This is just the boook.
English
PDF
EPUB
MOBI
WEB
The Book+Videos+Code
This is the book, plus the videos, plus the video solutions. All of the videos are available on YouTube as well. The book plus lecture note github repos are included as well.
Includes:
Video lectures
These are the video lectures associated with the book. They are also available on YouTube and Coursera.
Lecture notes and code
This is the github repo zipped up as one entity. You can get this off of github if you'd like. It also includes the book repo.
English
PDF
EPUB
MOBI
WEB
The Book+Code+Lecture Videos+Solution Videos
This is the book, the github repos (lecture notes and book) plus the video lectures plus the video HW solutions. All are available elsewhere for free (github and YouTube).
Includes:
Video lectures
These are the video lectures associated with the book. They are also available on YouTube and Coursera.
Lecture notes and code
This is the github repo zipped up as one entity. You can get this off of github if you'd like. It also includes the book repo.
Video HW solutions.
This is the video homework solutions. These are also all available on YouTube.
English
PDF
EPUB
MOBI
WEB
Table of Contents
-
Preface
- About this book
- About the cover
-
Introduction
- Before beginning
- Regression models
- Motivating examples
- Summary notes: questions for this book
- Exploratory analysis of Galton’s Data
- The math (not required)
- Comparing children’s heights and their parent’s heights
- Regression through the origin
- Exercises
-
Notation
- Some basic definitions
- Notation for data
- The empirical mean
- The empirical standard deviation and variance
- Normalization
- The empirical covariance
- Some facts about correlation
- Exercises
-
Ordinary least squares
- General least squares for linear equations
- Revisiting Galton’s data
- Showing the OLS result
- Exercises
-
Regression to the mean
- A historically famous idea, regression to the mean
- Regression to the mean
- Exercises
-
Statistical linear regression models
- Basic regression model with additive Gaussian errors.
- Interpreting regression coefficients, the intercept
- Interpreting regression coefficients, the slope
- Using regression for prediction
- Example
- Exercises
-
Residuals
- Residual variation
- Properties of the residuals
- Example
- Estimating residual variation
- Summarizing variation
- R squared
- Exercises
-
Regression inference
- Reminder of the model
- Review
- Results for the regression parameters
- Example diamond data set
- Getting a confidence interval
- Prediction of outcomes
- Summary notes
- Exercises
-
Multivariable regression analysis
- The linear model
- Estimation
- Example with two variables, simple linear regression
- The general case
- Simulation demonstrations
- Interpretation of the coefficients
- Fitted values, residuals and residual variation
- Summary notes on linear models
- Exercises
-
Multivariable examples and tricks
- Data set for discussion
- Simulation study
- Back to this data set
- What if we include a completely unnecessary variable?
- Dummy variables are smart
- More than two levels
- Insect Sprays
-
Further analysis of the
swiss
dataset - Exercises
-
Adjustment
- Experiment 1
- Experiment 2
- Experiment 3
- Experiment 4
- Experiment 5
- Some final thoughts
- Exercises
-
Residuals, variation, diagnostics
- Residuals
- Influential, high leverage and outlying points
- Residuals, Leverage and Influence measures
- Simulation examples
- Example described by Stefanski
- Back to the Swiss data
- Exercises
-
Multiple variables and model selection
- Multivariable regression
- The Rumsfeldian triplet
- General rules
- R squared goes up as you put regressors in the model
- Simulation demonstrating variance inflation
- Summary of variance inflation
- Swiss data revisited
- Impact of over- and under-fitting on residual variance estimation
- Covariate model selection
- How to do nested model testing in R
- Exercises
-
Generalized Linear Models
- Example, linear models
- Example, logistic regression
- Example, Poisson regression
- How estimates are obtained
- Odds and ends
- Exercises
-
Binary GLMs
- Example Baltimore Ravens win/loss
- Odds
- Modeling the odds
- Interpreting Logistic Regression
- Visualizing fitting logistic regression curves
- Ravens logistic regression
- Some summarizing comments
- Exercises
-
Count data
- Poisson distribution
- Poisson distribution
- Linear regression
- Poisson regression
- Mean-variance relationship
- Rates
- Exercises
-
Bonus material
- How to fit functions using linear models
- Notes
- Harmonics using linear models
- Thanks!
- Notes
Authors have earned$10,236,634writing, publishing and selling on Leanpub, earning 80% royalties while saving up to 25 million pounds of CO2 and up to 46,000 trees.
Learn more about writing on Leanpub
The Leanpub 45-day 100% Happiness Guarantee
Within 45 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.
See full terms
Free Updates. DRM Free.
If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).
Most Leanpub books are available in PDF (for computers), EPUB (for phones and tablets) and MOBI (for Kindle). The formats that a book includes are shown at the top right corner of this page.
Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.
Learn more about Leanpub's ebook formats and where to read them
Top Books
500 QUIZ MMG COMMENTATI
ALS Medicina Generale500 Quiz degli ULTIMI Concorsi di Medicina Generale (2014/2016/2017/2018/2019)
Riassunti e suddivisi per area con Griglia risposte vuota e Griglia risposte esatte Ministeriale
Commentati con link alla fonte per approfondimento e ausilio allo studio
C++20
Rainer GrimmC++20 is the next big C++ standard after C++11. As C++11 did it, C++20 changes the way we program modern C++. This change is, in particular, due to the big four of C++20: ranges, coroutines, concepts, and modules.
Atomic Kotlin
Bruce Eckel and Svetlana IsakovaFor both beginning and experienced programmers! From the author of the multi-award-winning Thinking in C++ and Thinking in Java together with a member of the Kotlin language team comes a book that breaks the concepts into small, easy-to-digest "atoms," along with exercises supported by hints and solutions directly inside IntelliJ IDEA!
Functional Design and Architecture
Alexander GraninSoftware Design in Functional Programming, Design Patterns and Practices, Methodologies and Application Architectures. How to build real software in Haskell with less efforts and low risks. The first complete source of knowledge.
C++ Best Practices
Jason TurnerLevel up your C++, get the tools working for you, eliminate common problems, and move on to more exciting things!
Algebra-Driven Design
Sandy MaguireA how-to field guide on building leak-free abstractions and algebraically designing real-world applications.
Ansible for DevOps
Jeff GeerlingAnsible is a simple, but powerful, server and configuration management tool. Learn to use Ansible effectively, whether you manage one server—or thousands.
Thinking with Types
Sandy MaguireThis book aims to be the comprehensive manual for type-level programming. It's about getting you from here to there---from a competent Haskell programmer to one who convinces the compiler to do their work for them.
Advanced Web Application Architecture
Matthias NobackThe missing manual for making your web applications future-proof
Stratospheric
Tom Hombergs, Björn Wilmsmann, and Philip RiecksFrom Zero to Production with Spring Boot and AWS. All you need to know to get a Spring Boot application into production with AWS. No previous AWS knowledge required.
Top Bundles
- #1
Software Architecture for Developers: Volumes 1 & 2 - Technical leadership and communication
2 Books
"Software Architecture for Developers" is a practical and pragmatic guide to modern, lightweight software architecture, specifically aimed at developers. You'll learn:The essence of software architecture.Why the software architecture role should include coding, coaching and collaboration.The things that you really need to think about before... - #3
Cloud Architect: Transform Technology and Organization
2 Books
Architects don't just recite product names and features. They understand the options, decisions, and trade-offs behind them. They earn credibility and maintain authenticity by connecting the penthouse with the engine room. Get two essential books that redefine the role of the software and IT architect at one low price:37 Things One Architect... - #5
Linux Administration Complet
4 Books
Ce lot comprend les quatre volumes du Guide Linux Administration :Linux Administration, Volume 1, Administration fondamentale : Guide pratique de préparation aux examens de certification LPIC 1, Linux Essentials, RHCSA et LFCS. Administration fondamentale. Introduction à Linux. Le Shell. Traitement du texte. Arborescence de fichiers. Sécurité... - #8
Development and Deployment of Multiplayer Online Games, Part ARCH. Architecture (Vol. I-III)
3 Books
What's the Big Idea? The idea behind this book is to summarize the body of knowledge that already exists on multiplayer games but is not available in one single place.And quite a fewof the issues discussed within this series (planned as three nine volumes ~300 pages each), while known in the industry, have not been published at all (except for... - #9
Mastering Containers
2 Books
Docker and Kubernetes are taking the world by storm! These books will get you up-to-speed fast! Docker Deep Dive is over 400 pages long, and covers all objectives on the Docker Certified Associate exam.The Kubernetes Book includes everything you need to get up and running with Kubernetes! - #10
Retromat eBook Bundle for Agile Retrospectives
2 Books
If you facilitate retrospectives this bundle is for you: "Plans for Retrospectives" helps beginners learn the lay of the land with tried-and-true plans. Once you know your way around, "Run great agile retrospectives" contains all 135+ activities in Retromat for you to mix and match.