You're reading from Building Statistical Models in Python

Product typeBook

Published inAug 2023

Reading LevelIntermediate

PublisherPackt

ISBN-139781804614280

Edition1st Edition

Languages

Python

Concepts

Statistics

Authors (3):

Huy Hoang Nguyen

Paul N Adams

Stuart J Miller

View More author details

Coefficients of correlation and determination

In this section, we will discuss two related notions – coefficients of correlation and coefficients of determination.

Coefficients of correlation

A coefficient of correlation is a measure of the statistical linear relationship between two variables and can be computed using the following formula:

r = 1 _ n − 1 Σ i=1 n (x i − ‾ x _ s x )(y i − ‾ y _ s y )

The reader can go here – https://shiny.rit.albany.edu/stat/corrsim/ – to simulate the correlation relationship between two variables.

Figure 6.3 – Simulated bivariate distribution

By observing the scatter plots, we can see the direction and the strength of the linear relationship between the two variables and their outliers. If the direction is positive (r>0), then...

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Building Statistical Models in Python

Published in: Aug 2023Publisher: PacktISBN-13: 9781804614280

Authors (3)

Huy Hoang Nguyen

Huy Hoang Nguyen is a Mathematician and a Data Scientist with far-ranging experience, championing advanced mathematics and strategic leadership, and applied machine learning research. He holds a Master's in Data Science and a PhD in Mathematics. His previous work was related to Partial Differential Equations, Functional Analysis and their applications in Fluid Mechanics. He transitioned from academia to the healthcare industry and has performed different Data Science projects from traditional Machine Learning to Deep Learning.
Read more about Huy Hoang Nguyen

Paul N Adams

Paul Adams is a Data Scientist with a background primarily in the healthcare industry. Paul applies statistics and machine learning in multiple areas of industry, focusing on projects in process engineering, process improvement, metrics and business rules development, anomaly detection, forecasting, clustering and classification. Paul holds a Master of Science in Data Science from Southern Methodist University.
Read more about Paul N Adams

Stuart J Miller

Stuart Miller is a Machine Learning Engineer with degrees in Data Science, Electrical Engineering, and Engineering Physics. Stuart has worked at several Fortune 500 companies, including Texas Instruments and StateFarm, where he built software that utilized statistical and machine learning techniques. Stuart is currently an engineer at Toyota Connected helping to build a more modern cockpit experience for drivers using machine learning.
Read more about Stuart J Miller

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Coefficients of correlation and determination

Coefficients of correlation

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