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Bayesian Analysis with Python

You're reading from   Bayesian Analysis with Python Unleash the power and flexibility of the Bayesian framework

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Product type Paperback
Published in Nov 2016
Publisher Packt
ISBN-13 9781785883804
Length 282 pages
Edition 1st Edition
Languages
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Author (1):
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Osvaldo Martin Osvaldo Martin
Author Profile Icon Osvaldo Martin
Osvaldo Martin
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Table of Contents (10) Chapters Close

Preface 1. Thinking Probabilistically - A Bayesian Inference Primer FREE CHAPTER 2. Programming Probabilistically – A PyMC3 Primer 3. Juggling with Multi-Parametric and Hierarchical Models 4. Understanding and Predicting Data with Linear Regression Models 5. Classifying Outcomes with Logistic Regression 6. Model Comparison 7. Mixture Models 8. Gaussian Processes Index

Simple linear regression


Many problems we find in science, engineering, and business are of the following form. We have a continuous variable, and by continuous we mean a variable represented using real numbers (or floats if you wish). We call this variable the dependent, predicted, or outcome variable. And we want to model how this dependent variable depends on one or more variables, which we call independent, predictor, or input variables. The independent variable can be continuous or it can be categorical. These type of problems can be modeled using linear regression. If we have only one independent variable we may use a simple linear regression model problem; if we have more than one independent variable then we may apply a multiple linear regression model. Some typical situations that linear regression models can be used in are as follows:

  • Model the relationship between factors like rain, soil salinity, and the presence/absence of fertilizer in crop productivity. Then answer questions...

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