Book Image

Regression Analysis with R

By : Giuseppe Ciaburro
Book Image

Regression Analysis with R

By: Giuseppe Ciaburro

Overview of this book

Regression analysis is a statistical process which enables prediction of relationships between variables. The predictions are based on the casual effect of one variable upon another. Regression techniques for modeling and analyzing are employed on large set of data in order to reveal hidden relationship among the variables. This book will give you a rundown explaining what regression analysis is, explaining you the process from scratch. The first few chapters give an understanding of what the different types of learning are – supervised and unsupervised, how these learnings differ from each other. We then move to covering the supervised learning in details covering the various aspects of regression analysis. The outline of chapters are arranged in a way that gives a feel of all the steps covered in a data science process – loading the training dataset, handling missing values, EDA on the dataset, transformations and feature engineering, model building, assessing the model fitting and performance, and finally making predictions on unseen datasets. Each chapter starts with explaining the theoretical concepts and once the reader gets comfortable with the theory, we move to the practical examples to support the understanding. The practical examples are illustrated using R code including the different packages in R such as R Stats, Caret and so on. Each chapter is a mix of theory and practical examples. By the end of this book you will know all the concepts and pain-points related to regression analysis, and you will be able to implement your learning in your projects.
Table of Contents (15 chapters)
Title Page
Packt Upsell
Contributors
Preface
Index

Summary


In this chapter, we introduced classifications through logistic regression techniques. We have first described a logistic model and then we have provided some intuitions underneath the math formulation.  We learned how to define a classification problem and how to apply logistic regression to solve this type of problem. We introduced the simple logistic regression model, where the dichotomous response depends on only one explanatory variable.

Then, we generalized the logistic model to the case of more than one independent variable in the multiple logistic regression. Central arguments in dealing with multiple logistic models have been the estimate of the coefficients in the model and the tests for their significance. This has followed the same lines as the univariate model. In multiple regression, the coefficients are called partial because they express the specific relationship that an independent variable has with the dependent variable net of the other independent variables considered...