Book Image

Applying Math with Python

By : Sam Morley
Book Image

Applying Math with Python

By: Sam Morley

Overview of this book

Python, one of the world's most popular programming languages, has a number of powerful packages to help you tackle complex mathematical problems in a simple and efficient way. These core capabilities help programmers pave the way for building exciting applications in various domains, such as machine learning and data science, using knowledge in the computational mathematics domain. The book teaches you how to solve problems faced in a wide variety of mathematical fields, including calculus, probability, statistics and data science, graph theory, optimization, and geometry. You'll start by developing core skills and learning about packages covered in Python’s scientific stack, including NumPy, SciPy, and Matplotlib. As you advance, you'll get to grips with more advanced topics of calculus, probability, and networks (graph theory). After you gain a solid understanding of these topics, you'll discover Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science.
Table of Contents (12 chapters)

Using basic linear regression

Linear regression is a tool for modeling the dependence between two sets of data so that we can eventually use this model to make predictions. The name comes from the fact that we form a linear model (straight line) of one set of data based on a second. In the literature, the variable that we wish to model is frequently called the response variable, and the variable that we are using in this model is the predictor variable.

In this recipe, we'll learn how to use the statsmodels package to perform simple linear regression to model the relationship between two sets of data.

Getting ready

For this recipe, we will need the statsmodels api module imported under the alias sm, the NumPy package imported as np, the Matplotlib pyplot module imported as plt, and an instance of a NumPy default random number generator. All this can be achieved with the following commands:

import statsmodels.api as sm
import numpy as np