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Practical Discrete Mathematics

You're reading from  Practical Discrete Mathematics

Product type Book
Published in Feb 2021
Publisher Packt
ISBN-13 9781838983147
Pages 330 pages
Edition 1st Edition
Languages
Authors (2):
Ryan T. White Ryan T. White
Profile icon Ryan T. White
Archana Tikayat Ray Archana Tikayat Ray
Profile icon Archana Tikayat Ray
View More author details
Toc

Table of Contents (17) Chapters close

Preface 1. Part I – Basic Concepts of Discrete Math
2. Chapter 1: Key Concepts, Notation, Set Theory, Relations, and Functions 3. Chapter 2: Formal Logic and Constructing Mathematical Proofs 4. Chapter 3: Computing with Base-n Numbers 5. Chapter 4: Combinatorics Using SciPy 6. Chapter 5: Elements of Discrete Probability 7. Part II – Implementing Discrete Mathematics in Data and Computer Science
8. Chapter 6: Computational Algorithms in Linear Algebra 9. Chapter 7: Computational Requirements for Algorithms 10. Chapter 8: Storage and Feature Extraction of Graphs, Trees, and Networks 11. Chapter 9: Searching Data Structures and Finding Shortest Paths 12. Part III – Real-World Applications of Discrete Mathematics
13. Chapter 10: Regression Analysis with NumPy and Scikit-Learn 14. Chapter 11: Web Searches with PageRank 15. Chapter 12: Principal Component Analysis with Scikit-Learn 16. Other Books You May Enjoy

Least-squares lines with NumPy

In this section, we will learn how to fit a line to a dataset by using the normal equation as well as by using Python libraries. We will also find the parameter values (β) and use these values to predict the Y values for some X value of our choice.

The relationship between the variables (horsepower and weight) can be represented by the following mathematical formulation:

Y βo + β1 X

Our goal is to find the values for βo and β1. Here, horsepower is the dependent variable (Y) and weight is the independent variable (X).

Before beginning the coding part, make sure that the Python file that you are editing and auto_dataset.csv are in the same folder. If not, make sure to include the path for the .csv file location in the Python file so that it can be read and used for computations. Also, the packages used in the coding exercises (numpy, pandas, seaborn, matplotlib.pyplot, and sklearn) should be installed to avoid...

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