---
title: How do you calculate the MSE in a linear regression model?
description: Mean squared error (MSE) measures the amount of error in statistical models. It assesses the average squared difference between the observed and predicted values. When a model has no error, the MSE eq
---

[Skip to content](https://help.datasciencedojo.com/migration/how-do-you-calculate-the-mse-in-a-linear-regression-model#main-content)

English

Show submenu for translations

[Customer portal](https://help.datasciencedojo.com/tickets-view?hsLang=en)

![DSD main logo.png\]](https://help.datasciencedojo.com/hs-fs/hubfs/DSD%20main%20logo.png?height=40&name=DSD%20main%20logo.png)

- [Default HubSpot Blog](https://help.datasciencedojo.com/blog)

Open main navigation

Close main navigation

- [Default HubSpot Blog](https://help.datasciencedojo.com/blog)
- English
  
  Show submenu for translations
- [Customer portal](https://help.datasciencedojo.com/tickets-view)
- Go to datasciencedojo.com

 Go to datasciencedojo.com

 How can we help?

- There are no suggestions because the search field is empty.

1. [Help Center](https://help.datasciencedojo.com/migration?hsLang=en)
2. [Machine Learning](https://help.datasciencedojo.com/migration/machine-learning?hsLang=en)
3. [Supervised](https://help.datasciencedojo.com/migration/machine-learning?hsLang=en#supervised)

# How do you calculate the MSE in a linear regression model?

Mean squared error (MSE) measures the amount of error in statistical models. It assesses the average squared difference between the observed and [predicted values](https://statisticsbyjim.com/glossary/fitted-values/). When a model has no error, the MSE equals zero. As model error increases, its value increases. The mean squared error is also known as the mean squared deviation (MSD).

For example, in [regression](https://statisticsbyjim.com/regression/when-use-regression-analysis/), the mean squared error represents the average squared [residual](https://statisticsbyjim.com/glossary/residuals/)

 

![Image depicting the relationship between the residuals and the mean squared error.](https://i0.wp.com/statisticsbyjim.com/wp-content/uploads/2017/04/residuals.png?resize=300%2C186&ssl=1)

As the data points fall closer to the regression line, the model has less error, decreasing the MSE. A model with less error produces more precise predictions

#### MSE Formula

The formula for MSE is the following.

![formula for MSE.](https://i0.wp.com/statisticsbyjim.com/wp-content/uploads/2021/11/mse_formula.png?resize=246%2C78&ssl=1)

 

- [Data Science Bootcamp](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#main-content)

    - [Certificate](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#certificate)
    - [Logistics](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#logistics)
    - [Curriculum](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#curriculum)
    - [Target Audience](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#target-audience)
    - [Talk to an Advisor](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#talk-to-an-advisor)
    - [Prerequisites](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#prerequisites)
    - [Pricing](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#pricing)
    - [Policies](https://help.datasciencedojo.com/migration/data-science-bootcamp?hsLang=en#policies)
- [Large Language Models Bootcamp](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#main-content)

    - [Logistics](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#logistics)
    - [Curriculum](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#curriculum)
    - [Certificate](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#certificate)
    - [Prerequisites](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#prerequisites)
    - [Eligibility](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#eligibility)
    - [Talk to an advisor](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#talk-to-an-advisor)
    - [Pricing](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#pricing)
    - [Delivery](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#delivery)
    - [Program Overview](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#program-overview)
    - [Policies](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#policies)
    - [Registration](https://help.datasciencedojo.com/migration/large-language-models-bootcamp?hsLang=en#registration)
- [Agentic AI Bootcamp](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#main-content)

    - [Prerequisites](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#prerequisites)
    - [Logistics](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#logistics)
    - [Curriculum](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#curriculum)
    - [Program Overview](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#program-overview)
    - [Pricing](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#pricing)
    - [Preparatory Material](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#preparatory-material)
    - [Policies](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#policies)
    - [Talk to an Advisor](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#talk-to-an-advisor)
    - [Registration](https://help.datasciencedojo.com/migration/agentic-ai-bootcamp?hsLang=en#registration)
- [Registration](https://help.datasciencedojo.com/migration/registration?hsLang=en#main-content)

    - [Payment Methods](https://help.datasciencedojo.com/migration/registration?hsLang=en#payment-methods)
    - [Free Certificate](https://help.datasciencedojo.com/migration/registration?hsLang=en#free-certificate)
    - [Tuition Benefits](https://help.datasciencedojo.com/migration/registration?hsLang=en#tuition-benefits)
- [Pricing](https://help.datasciencedojo.com/migration/pricing?hsLang=en)
- [Community](https://help.datasciencedojo.com/migration/community?hsLang=en#main-content)

    - [FODAI 2025 - Sept Edition](https://help.datasciencedojo.com/migration/community?hsLang=en#fodai-2025-sept-edition)
    - [FODAI 2026](https://help.datasciencedojo.com/migration/community?hsLang=en#fodai-2026)
- [Python Programming](https://help.datasciencedojo.com/migration/python-programming?hsLang=en)
- [Platform Related Issues](https://help.datasciencedojo.com/migration/platform-related-issues?hsLang=en#main-content)

    - [Community](https://help.datasciencedojo.com/migration/platform-related-issues?hsLang=en#community)
- [Bootcamps](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#main-content)

    - [Formats and Delivery](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#formats-and-delivery)
    - [Certificates](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#certificates)
    - [Policies](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#policies)
    - [Session Access](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#session-access)
    - [Benefits](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#benefits)
    - [Exercises](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#exercises)
    - [Tuition Benefits](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#tuition-benefits)
    - [Logistics](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#logistics)
    - [Testimonials](https://help.datasciencedojo.com/migration/bootcamps?hsLang=en#testimonials)
- [Homework and Notebooks](https://help.datasciencedojo.com/migration/homework-and-notebooks?hsLang=en#main-content)

    - [Personal Assigments](https://help.datasciencedojo.com/migration/homework-and-notebooks?hsLang=en#personal-assigments)
- [Free Courses](https://help.datasciencedojo.com/migration/free-courses?hsLang=en)
- [Data Science for Business](https://help.datasciencedojo.com/migration/data-science-for-business?hsLang=en#main-content)

    - [Program Overview](https://help.datasciencedojo.com/migration/data-science-for-business?hsLang=en#program-overview)
- [Practicum](https://help.datasciencedojo.com/migration/practicum?hsLang=en#main-content)

    - [Logistics](https://help.datasciencedojo.com/migration/practicum?hsLang=en#logistics)
    - [Program Overview](https://help.datasciencedojo.com/migration/practicum?hsLang=en#program-overview)
- [Blog](https://help.datasciencedojo.com/migration/blog?hsLang=en#main-content)

    - [Content Collaboration](https://help.datasciencedojo.com/migration/blog?hsLang=en#content-collaboration)
    - [Guest Posts](https://help.datasciencedojo.com/migration/blog?hsLang=en#guest-posts)
    - [Link Exchanges/Insertions](https://help.datasciencedojo.com/migration/blog?hsLang=en#link-exchanges-insertions)
- [Employment Assistance](https://help.datasciencedojo.com/migration/employment-assistance?hsLang=en#main-content)

    - [Resumes](https://help.datasciencedojo.com/migration/employment-assistance?hsLang=en#resumes)
    - [Internships](https://help.datasciencedojo.com/migration/employment-assistance?hsLang=en#internships)
    - [Profile Shortlisting](https://help.datasciencedojo.com/migration/employment-assistance?hsLang=en#profile-shortlisting)
    - [Career Paths](https://help.datasciencedojo.com/migration/employment-assistance?hsLang=en#career-paths)
    - [Applying for Mentor](https://help.datasciencedojo.com/migration/employment-assistance?hsLang=en#applying-for-mentor)
- [Machine Learning](https://help.datasciencedojo.com/migration/machine-learning?hsLang=en#main-content)

    - [Unsupervised](https://help.datasciencedojo.com/migration/machine-learning?hsLang=en#unsupervised)
    - [Supervised](https://help.datasciencedojo.com/migration/machine-learning?hsLang=en#supervised)
    - [Statistics](https://help.datasciencedojo.com/migration/machine-learning?hsLang=en#statistics)
    - [Deep Learning](https://help.datasciencedojo.com/migration/machine-learning?hsLang=en#deep-learning)
    - [Timeseries](https://help.datasciencedojo.com/migration/machine-learning?hsLang=en#timeseries)
- [Data Analysis](https://help.datasciencedojo.com/migration/data-analysis?hsLang=en)
- [R Language](https://help.datasciencedojo.com/migration/r-language?hsLang=en)
- [Python for Data Science](https://help.datasciencedojo.com/migration/python-for-data-science?hsLang=en#main-content)

    - [Prerequisites](https://help.datasciencedojo.com/migration/python-for-data-science?hsLang=en#prerequisites)
    - [Pricing](https://help.datasciencedojo.com/migration/python-for-data-science?hsLang=en#pricing)
    - [Curriculum](https://help.datasciencedojo.com/migration/python-for-data-science?hsLang=en#curriculum)
    - [Program Overview](https://help.datasciencedojo.com/migration/python-for-data-science?hsLang=en#program-overview)
- [SQL](https://help.datasciencedojo.com/migration/sql?hsLang=en)
- [Introduction to Power BI](https://help.datasciencedojo.com/migration/introduction-to-power-bi?hsLang=en)
- [Power BI](https://help.datasciencedojo.com/migration/power-bi?hsLang=en)
- [Programming and Tools](https://help.datasciencedojo.com/migration/programming-and-tools?hsLang=en#main-content)

    - [SQL](https://help.datasciencedojo.com/migration/programming-and-tools?hsLang=en#sql)
- [Partnerships](https://help.datasciencedojo.com/migration/partnerships?hsLang=en)

- [Default HubSpot Blog](https://help.datasciencedojo.com/blog)

[![Chill listening crop-3](https://help.datasciencedojo.com/hs-fs/hubfs/DSD%20main%20logo.png?width=95&height=24&name=DSD%20main%20logo.png "Chill listening crop-3")](https://datasciencedojo.com)

<https://www.linkedin.com/company/data-science-dojo/> <https://twitter.com/DataScienceDojo> <https://www.youtube.com/c/Datasciencedojo> <https://instagram.com/data_science_dojo?igshid=YmMyMTA2M2Y=> <https://www.facebook.com/datasciencedojo>

Copyright © 2026, Data Science Dojo