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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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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 2. Basic Concepts – Simple Linear Regression FREE CHAPTER 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

Understanding overfitting

General overfitting occurs when a very complex statistical model suits the observed data because it has too many parameters compared to the number of observations. The risk is that an incorrect model can perfectly fit data, just because it is quite complex compared to the amount of data available. Although, it is possible for overfitting to occur when the amount of data is adequate. Consequently, when the model is used to predict new observations, there is a problem, because it is not able to generalize.

The concept of overfitting is also very important in regression analysis. Usually, a learning algorithm is trained using a set of examples (training set), the output of which is already known. It is assumed that the learning algorithm will reach a state in which it will be able to predict outputs for all the other examples it has not yet seen, assuming...

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