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

Building a multiple linear regression model


In Chapter 2Basic Concepts – Simple Linear Regression, we learned to use the lm() function to create a simple linear regression model. We can also use it to solve this kind of problem.

To practice this method, we can draw on the many datasets available on the internet. In this case, we will load a .csv file named EscapingHydrocarbons.csv into the R environment; it contains the quantity of hydrocarbons escaping, depending on different variables.

Note

Source: Linear Regression Datasets offered by the Department of Scientific Computing, Florida State University (http://people.sc.fsu.edu/~jburkardt/datasets/regression/regression.html).

When petrol is pumped into tanks, hydrocarbons escape. To evaluate the effectiveness of pollution controls, experiments were performed. The quantity of hydrocarbons escaping was measured as a function of the tank temperature, the temperature of the petrol pumped in, the initial pressure in the tank, and the pressure of...