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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
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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

Modeling a perfect linear association

So far, we have explored several real cases for which we have searched linear associations, and therefore we have built models of simple linear regression. Next, we tried to analyze the results to confirm the goodness of fit in the simulation of the real system. At this point, it is reasonable to wonder what results of a model perfectly fit a linear system. In this way we will know how to distinguish between a model with a good approximation to what is wrong. In this last case, clearly indicating a nonlinear relationship remains the best solution.

Previously, we said that a simple linear relationship is represented by the following formula:

Here, α and β, represent, respectively, the slope and the intercept with the y axis of the regression line. That being said, we build a dummy system by deciding a priori...

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