Skip to Content
Statistics for Machine Learning
book

Statistics for Machine Learning

by Pratap Dangeti
July 2017
Beginner to intermediate
442 pages
10h 8m
English
Packt Publishing
Content preview from Statistics for Machine Learning

Assumptions of linear regression

Linear regression has the following assumptions, failing which the linear regression model does not hold true:

  • The dependent variable should be a linear combination of independent variables
  • No autocorrelation in error terms
  • Errors should have zero mean and be normally distributed
  • No or little multi-collinearity
  • Error terms should be homoscedastic

These are explained in detail as follows:

  • The dependent variable should be a linear combination of independent variables: Y should be a linear combination of X variables. Please note, in the following equation, X2 has raised to the power of 2, the equation is still holding the assumption of a linear combination of variables:

How to diagnose: Look into residual ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

Read now

Unlock full access

More than 5,000 organizations count on O’Reilly

AirBnbBlueOriginElectronic ArtsHomeDepotNasdaqRakutenTata Consultancy Services

QuotationMarkO’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
QuotationMarkI wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
QuotationMarkI’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
QuotationMarkI'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Mark W.
Embedded Software Engineer

You might also like

Grokking Machine Learning

Grokking Machine Learning

Luis Serrano

Publisher Resources

ISBN: 9781788295758