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Data Science for Marketing Analytics - Second Edition

You're reading from  Data Science for Marketing Analytics - Second Edition

Product type Book
Published in Sep 2021
Publisher Packt
ISBN-13 9781800560475
Pages 636 pages
Edition 2nd Edition
Languages
Authors (3):
Mirza Rahim Baig Mirza Rahim Baig
Profile icon Mirza Rahim Baig
Gururajan Govindan Gururajan Govindan
Profile icon Gururajan Govindan
Vishwesh Ravi Shrimali Vishwesh Ravi Shrimali
Profile icon Vishwesh Ravi Shrimali
View More author details

Table of Contents (11) Chapters

Preface
1. Data Preparation and Cleaning 2. Data Exploration and Visualization 3. Unsupervised Learning and Customer Segmentation 4. Evaluating and Choosing the Best Segmentation Approach 5. Predicting Customer Revenue Using Linear Regression 6. More Tools and Techniques for Evaluating Regression Models 7. Supervised Learning: Predicting Customer Churn 8. Fine-Tuning Classification Algorithms 9. Multiclass Classification Algorithms Appendix

Logistic Regression

If a response variable has binary values, the assumptions of linear regression are not valid for the following reasons:

  • The relationship between the independent variable and the predictor variable is not linear.
  • The error terms are heteroscedastic. Recall that heteroscedastic means that the variance of the error terms is not the same throughout the range of x (input data).
  • The error terms are not normally distributed.

If we proceed, considering these violations, the results would be as follows:

  • The predicted probabilities could be greater than 1 or less than 0.
  • The magnitude of the effects of independent variables may be underestimated.

With logistic regression, we are interested in modeling the mean of the response variable, p, in terms of an explanatory variable, x, as a probabilistic model in terms of the odds ratio. The odds ratio is the ratio of two probabilities – the probability of the event occurring, and the probability...

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