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Data Science for Marketing Analytics

You're reading from   Data Science for Marketing Analytics A practical guide to forming a killer marketing strategy through data analysis with Python

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Product type Paperback
Published in Sep 2021
Publisher Packt
ISBN-13 9781800560475
Length 636 pages
Edition 2nd Edition
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Authors (3):
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Vishwesh Ravi Shrimali Vishwesh Ravi Shrimali
Author Profile Icon Vishwesh Ravi Shrimali
Vishwesh Ravi Shrimali
Mirza Rahim Baig Mirza Rahim Baig
Author Profile Icon Mirza Rahim Baig
Mirza Rahim Baig
Gururajan Govindan Gururajan Govindan
Author Profile Icon Gururajan Govindan
Gururajan Govindan
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Toc

Table of Contents (11) Chapters Close

Preface
1. Data Preparation and Cleaning 2. Data Exploration and Visualization FREE CHAPTER 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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