Book Image

Statistical Application Development with R and Python - Second Edition

Book Image

Statistical Application Development with R and Python - Second Edition

Overview of this book

Statistical Analysis involves collecting and examining data to describe the nature of data that needs to be analyzed. It helps you explore the relation of data and build models to make better decisions. This book explores statistical concepts along with R and Python, which are well integrated from the word go. Almost every concept has an R code going with it which exemplifies the strength of R and applications. The R code and programs have been further strengthened with equivalent Python programs. Thus, you will first understand the data characteristics, descriptive statistics and the exploratory attitude, which will give you firm footing of data analysis. Statistical inference will complete the technical footing of statistical methods. Regression, linear, logistic modeling, and CART, builds the essential toolkit. This will help you complete complex problems in the real world. You will begin with a brief understanding of the nature of data and end with modern and advanced statistical models like CART. Every step is taken with DATA and R code, and further enhanced by Python. The data analysis journey begins with exploratory analysis, which is more than simple, descriptive, data summaries. You will then apply linear regression modeling, and end with logistic regression, CART, and spatial statistics. By the end of this book you will be able to apply your statistical learning in major domains at work or in your projects.
Table of Contents (19 chapters)
Statistical Application Development with R and Python - Second Edition
Credits
About the Author
Acknowledgment
About the Reviewers
www.PacktPub.com
Customer Feedback
Preface
Index

Multiple linear regression model


In the The simple linear regression model section, we considered an almost (un)realistic problem of having only one predictor. We need to extend the model for the practical problems when one has more than a single predictor. In Example 3.2.9. Octane rating of gasoline blends, we had a graphical study of mileage as a function of various vehicle variables. In this section, we will build a multiple linear regression model for the mileage.

If we have X 1, X 2, …, X p independent sets of variables that have a linear effect on the dependent variable Y, the multiple linear regression model is given by the following equation:

This model is similar to the simple linear regression model, and we have the same interpretation as earlier. Here, we have additional independent variables in X 1, …, X p and their effect on the regressand Y respectively through the additional regression parameters . Now suppose we have n pairs of random observations for understanding the multiple...