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Regression Analysis with R

You're reading from   Regression Analysis with R Design and develop statistical nodes to identify unique relationships within data at scale

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Product type Paperback
Published in Jan 2018
Publisher Packt
ISBN-13 9781788627306
Length 422 pages
Edition 1st Edition
Languages
Concepts
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Author (1):
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Giuseppe Ciaburro Giuseppe Ciaburro
Author Profile Icon Giuseppe Ciaburro
Giuseppe Ciaburro
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Table of Contents (11) Chapters Close

Preface 1. Getting Started with Regression FREE CHAPTER 2. Basic Concepts – Simple Linear Regression 3. More Than Just One Predictor – MLR 4. When the Response Falls into Two Categories – Logistic Regression 5. Data Preparation Using R Tools 6. Avoiding Overfitting Problems - Achieving Generalization 7. Going Further with Regression Models 8. Beyond Linearity – When Curving Is Much Better 9. Regression Analysis in Practice 10. Other Books You May Enjoy

Least squares regression

In the previous section, we saw an example of simple linear regression, built the model, and now have a brief description of it. Next, we will explain the results in detail. We will get started by introducing the key concepts, with another simple linear regression example; we will just use data in the form of a spreadsheet containing the number of vehicles registered in Italy and the population of the different regions. Using this data we will try to determine the line that best estimates the relationship between the population and number of registered vehicles. We can do this in various different ways; we will begin with the simplest. Previously, we said that a linear relationship is represented by the following formula:

If we have a set of observations in the form (x1, y1), (x2, y2), ... (xn, yn), for each of these pairs we can write an equation of...

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