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Statistics for Machine Learning

You're reading from   Statistics for Machine Learning Techniques for exploring supervised, unsupervised, and reinforcement learning models with Python and R

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Product type Paperback
Published in Jul 2017
Publisher Packt
ISBN-13 9781788295758
Length 442 pages
Edition 1st Edition
Languages
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Author (1):
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Pratap Dangeti Pratap Dangeti
Author Profile Icon Pratap Dangeti
Pratap Dangeti
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Table of Contents (10) Chapters Close

Preface 1. Journey from Statistics to Machine Learning 2. Parallelism of Statistics and Machine Learning FREE CHAPTER 3. Logistic Regression Versus Random Forest 4. Tree-Based Machine Learning Models 5. K-Nearest Neighbors and Naive Bayes 6. Support Vector Machines and Neural Networks 7. Recommendation Engines 8. Unsupervised Learning 9. Reinforcement Learning

Logistic regression – introduction and advantages


Logistic regression applies maximum likelihood estimation after transforming the dependent variable into a logit variable (natural log of the odds of the dependent variable occurring or not) with respect to independent variables. In this way, logistic regression estimates the probability of a certain event occurring. In the following equation, log of odds changes linearly as a function of explanatory variables:

One can simply ask, why odds, log(odds) and not probability? In fact, this is interviewers favorite question in analytics interviews.

The reason is as follows:

By converting probability to log(odds), we have expanded the range from [0, 1] to [- ∞, +∞ ]. By fitting model on probability we will encounter a restricted range problem, and also by applying log transformation, we cover-up the non-linearity involved and we can just fit with a linear combination of variables.

One more question one ask is what will happen if someone fit the linear...

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