Homebreadcumb forward arrow iconBlogbreadcumb forward arrow iconArtificial Intelligencebreadcumb forward arrow icon6 Types of Regression Models in Machine Learning You Should Know About

6 Types of Regression Models in Machine Learning You Should Know About

Last updated:
3rd Oct, 2022
Read Time
12 Mins
share image icon
In this article
Chevron in toc
View All
6 Types of Regression Models in Machine Learning You Should Know About


Linear regression and logistic regression are two types of regression analysis techniques that are used to solve the regression problem using machine learning. They are the most prominent techniques of regression. But, there are many types of regression analysis techniques in machine learning, and their usage varies according to the nature of the data involved.

This article will explain the different types of regression in machine learning, and under what condition each of them can be used. If you are new to machine learning, this article will surely help you in understanding the regression modeling concept. 

Check out our  free courses to get an edge over the competition.

What is Regression Analysis?

Regression analysis is a predictive modelling technique that analyzes the relation between the target or dependent variable and independent variable in a dataset. The different types of regression analysis techniques get used when the target and independent variables show a linear or non-linear relationship between each other, and the target variable contains continuous values. The regression technique gets used mainly to determine the predictor strength, forecast trend, time series, and in case of cause & effect relation. 

Ads of upGrad blog

Regression analysis is the primary technique to solve the regression problems in machine learning using data modelling. It involves determining the best fit line, which is a line that passes through all the data points in such a way that distance of the line from each data point is minimized.

Learn AI & ML Courses online from the World’s top Universities – Masters, Executive Post Graduate Programs, and Advanced Certificate Program in ML & AI to fast-track your career.

Types of Regression Analysis Techniques

There are many types of regression analysis techniques, and the use of each method depends upon the number of factors. These factors include the type of target variable, shape of the regression line, and the number of independent variables. 

Below are the different regression techniques:

  1. Linear Regression
  2. Logistic Regression
  3. Ridge Regression
  4. Lasso Regression
  5. Polynomial Regression
  6. Bayesian Linear Regression

Must Read: Free deep learning course!

The different types of regression in machine learning techniques are explained below in detail:

1. Linear Regression

Linear regression is one of the most basic types of regression in machine learning. The linear regression model consists of a predictor variable and a dependent variable related linearly to each other. In case the data involves more than one independent variable, then linear regression is called multiple linear regression models. 

The below-given equation is used to denote the linear regression model:


where m is the slope of the line, c is an intercept, and e represents the error in the model.



The best fit line is determined by varying the values of m and c. The predictor error is the difference between the observed values and the predicted value. The values of m and c get selected in such a way that it gives the minimum predictor error. It is important to note that a simple linear regression model is susceptible to outliers. Therefore, it should not be used in case of big size data.

There are different types of linear regression. The two major types of linear regression are simple linear regression and multiple linear regression. Below is the formula for simple linear regression.

  • Here, y is the predicted value of the dependent variable (y) for any value of the independent variable (x)
  • β0  is the intercepted, aka the value of y when x is zero
  • β1 is the regression coefficient, meaning the expected change in y when x increases
  • x is the independent variable 
  • is the estimated error in the regression

Simple linear regression can be used:

  • To find the intensity of dependency between two variables. Such as the rate of carbon emission and global warming. 
  • To find the value of the dependent variable on an explicit value of the independent variable. For example, finding the amount of increase in atmospheric temperature with a certain amount of carbon dioxide emission. 

In multiple linear regression, a relationship is established between two or more independent variables and the corresponding dependent variables. Below is the equation for multiple linear regression. 

  • Here,  y is the predicted value of the dependent variable 
  • β0 = Value of y when other parameters are zero
  • β1X1= The regression coefficient of the first variable
  • …= Repeating the same no matter how many variables you test
  • βnXn= Regression coefficient of the last independent variable 
  • ∈ = Estimated error in the regression

Multiple linear regression can be used:

  • To estimate how strongly two or more independent variables influence the single dependent variable. Such as how location, time, condition, and area can influence the price of a property.
  • To find the value of the dependent variables at a definite condition of all the independent variables. For example, finding the price of a property located at a certain place, with a specific area and its condition. 

Also visit upGrad’s Degree Counselling page for all undergraduate and postgraduate programs.

2. Logistic Regression

Logistic regression is one of the types of regression analysis technique, which gets used when the dependent variable is discrete. Example: 0 or 1, true or false, etc. This means the target variable can have only two values, and a sigmoid curve denotes the relation between the target variable and the independent variable.

Logit function is used in Logistic Regression to measure the relationship between the target variable and independent variables. Below is the equation that denotes the logistic regression.

logit(p) = ln(p/(1-p)) = b0+b1X1+b2X2+b3X3….+bkXk

where p is the probability of occurrence of the feature.


For selecting logistic regression, as the regression analyst technique, it should be noted, the size of data is large with the almost equal occurrence of values to come in target variables. Also, there should be no multicollinearity, which means that there should be no correlation between independent variables in the dataset.

3. Ridge Regression


This is another one of the types of regression in machine learning which is usually used when there is a high correlation between the independent variables. This is because, in the case of multi collinear data, the least square estimates give unbiased values. But, in case the collinearity is very high, there can be some bias value. Therefore, a bias matrix is introduced in the equation of Ridge Regression. This is a powerful regression method where the model is less susceptible to overfitting. 

Below is the equation used to denote the Ridge Regression, where the introduction of λ (lambda) solves the problem of multicollinearity:

β = (X^{T}X + λ*I)^{-1}X^{T}y

Check out: 5 Breakthrough Applications of Machine Learning

4. Lasso Regression

Lasso Regression is one of the types of regression in machine learning that performs regularization along with feature selection. It prohibits the absolute size of the regression coefficient. As a result, the coefficient value gets nearer to zero, which does not happen in the case of Ridge Regression.

Due to this, feature selection gets used in Lasso Regression, which allows selecting a set of features from the dataset to build the model. In the case of Lasso Regression, only the required features are used, and the other ones are made zero. This helps in avoiding the overfitting in the model. In case the independent variables are highly collinear, then Lasso regression picks only one variable and makes other variables to shrink to zero.



Below is the equation that represents the Lasso Regression method:

N^{-1}Σ^{N}_{i=1}f(x_{i}, y_{I}, α, β)

Best Machine Learning and AI Courses Online

5. Polynomial Regression

Polynomial Regression is another one of the types of regression analysis techniques in machine learning, which is the same as Multiple Linear Regression with a little modification. In Polynomial Regression, the relationship between independent and dependent variables, that is X and Y, is denoted by the n-th degree.

It is a linear model as an estimator. Least Mean Squared Method is used in Polynomial Regression also. The best fit line in Polynomial Regression that passes through all the data points is not a straight line, but a curved line, which depends upon the power of X or value of n.



While trying to reduce the Mean Squared Error to a minimum and to get the best fit line, the model can be prone to overfitting. It is recommended to analyze the curve towards the end as the higher Polynomials can give strange results on extrapolation. 

Below equation represents the Polynomial Regression:

l = β0+ β0x1+ε

Read: Machine Learning Project Ideas

6. Bayesian Linear Regression

Bayesian Regression is one of the types of regression in machine learning that uses the Bayes theorem to find out the value of regression coefficients. In this method of regression, the posterior distribution of the features is determined instead of finding the least-squares. Bayesian Linear Regression is like both Linear Regression and Ridge Regression but is more stable than the simple Linear Regression.



People often wonder “what is regression in AI” or “what is regression in machine learning”. Machine learning is a subset of AI; hence, both questions have the same answer. 

In the case of regression in AI, different algorithms are used make a machine learn the relationship between the provided data sets and make predictions accordingly. Hence, regression in AI is mainly used to add a level of automation to the machines. 

Regression AI is often used in sectors like finance and investment, where establishing a relationship between a single dependent variable and multiple independent variables is a common case. A common example of regression AI will be factors that estimate a house’s price based on its location, size, ROI, etc. 

Regression plays a vital role in predictive modelling and is found in many machine learning applications. Algorithms from the regressions provide different perspectives regarding the relationship between the variables and their outcomes. These set models could then be used as a guideline for fresh input data or to find missing data. 

As the models are trained to understand a variety of relationships between different variables, they are often extremely helpful in predicting the portfolio performance or stocks and trends. These implementations fall under machine learning in finance. 

The very common use of regression in AI includes:

  • Predicting a company’s sales or marketing success
  • Generating continuous outcomes like stock prices
  • Forecasting different trends or customer’s purchase behaviour

Hope this helped to understand what is regression in AI or what is regression in machine learning

In-demand Machine Learning Skills


In addition to the above regression methods, there are many other types of regression in machine learning, including Elastic Net Regression, JackKnife Regression, Stepwise Regression, and Ecological Regression.

These different types of regression analysis techniques can be used to build the model depending upon the kind of data available or the one that gives the maximum accuracy. You can explore these techniques more or can go through the course of supervised learning on our website.

If you’re interested to learn more about machine learning, check out IIIT-B & upGrad’s Executive PG Program in Machine Learning & AI which is designed for working professionals and offers 450+ hours of rigorous training, 30+ case studies & assignments, IIIT-B Alumni status, 5+ practical hands-on capstone projects & job assistance with top firms.

Ads of upGrad blog

Popular AI and ML Blogs & Free Courses

Refer to your Network!

If you know someone, who would benefit from our specially curated programs? Kindly fill in this form to register their interest. We would assist them to upskill with the right program, and get them a highest possible pre-applied fee-waiver up to 70,000/-

You earn referral incentives worth up to ₹80,000 for each friend that signs up for a paid programme! Read more about our referral incentives here.


Pavan Vadapalli

Blog Author
Director of Engineering @ upGrad. Motivated to leverage technology to solve problems. Seasoned leader for startups and fast moving orgs. Working on solving problems of scale and long term technology strategy.
Get Free Consultation

Select Coursecaret down icon
Selectcaret down icon
By clicking 'Submit' you Agree to  
UpGrad's Terms & Conditions

Our Popular Machine Learning Course

Frequently Asked Questions (FAQs)

1What are the different types of regression?

There are 5 types of regression ie 1. linear regression, 2. logistic regression, 3. ridge regression, 4. Lasso regression, 5. Polynomial regression are the various types of regression

2What is regression? What are the types of regressions?

Regression is a supervised machine learning technique which is used to predict continuous values. The ultimate goal of the regression algorithm is to plot a best-fit line or a curve between the data and linear regression, logistic regression, ridge regression, Lasso regression, Polynomial regression are types of regression.

3When should I use regression analysis?

Regression analysis is used when you want to predict a continuous dependent variable from a number of independent variables. If the dependent variable is dichotomous, then logistic regression should be used.

4What are the 2 most important metrics to evaluate regression models?

Two crucial metrics to consider when evaluating your predictions are variance and bias. The degree by which the approximation of the target function differs when different training data is used is referred to as variance. The relationship between the input (properties) and output variables is established by the target function (predicted temperature). The algorithm's tendency to continuously learn the erroneous thing by not taking all of the data into account is known as bias. Bias must be low for the model to be accurate.

5What are regression models in machine learning?

In the discipline of machine learning, regression analysis is a key concept. It's classified as supervised learning because the algorithm is taught both input and output labels. By estimating how one variable influences the other, it aids in the establishment of a link between the variables. In machine learning, regression refers to mathematical techniques that allow data scientists to forecast a continuous outcome (y) based on the values of one or more predictor variables (x). Because of its ease of application in predicting and forecasting, linear regression is perhaps the most popular type of regression analysis.

6What data is needed for regression analysis?

To perform a regression analysis, you must first establish a dependent variable that you believe is influenced by one or more independent factors. After that, you'll need to create a thorough dataset to work with. Using surveys to get data from your target consumers is a great way to get started. All of the independent variables that you are interested in should be addressed in your survey.

Explore Free Courses

Suggested Blogs

Data Preprocessing in Machine Learning: 7 Easy Steps To Follow
Summary: In this article, you will learn about data preprocessing in Machine Learning: 7 easy steps to follow. Acquire the dataset Import all the cr
Read More

by Kechit Goyal

29 Oct 2023

Natural Language Processing (NLP) Projects & Topics For Beginners [2023]
What are Natural Language Processing Projects? NLP project ideas advanced encompass various applications and research areas that leverage computation
Read More

by Pavan Vadapalli

04 Oct 2023

15 Interesting MATLAB Project Ideas & Topics For Beginners [2023]
Learning about MATLAB can be tedious. It’s capable of performing many tasks and solving highly complex problems of different domains. If youR
Read More

by Pavan Vadapalli

03 Oct 2023

Top 16 Artificial Intelligence Project Ideas & Topics for Beginners [2023]
Summary: In this article, you will learn the 16 AI project ideas & Topics. Take a glimpse below. Predict Housing Price Enron Investigation Stock
Read More

by Pavan Vadapalli

27 Sep 2023

Top 15 Deep Learning Interview Questions & Answers
Although still evolving, Deep Learning has emerged as a breakthrough technology in the field of Data Science. From Google’s DeepMind to self-dri
Read More

by Prashant Kathuria

21 Sep 2023

Top 8 Exciting AWS Projects & Ideas For Beginners [2023]
AWS Projects & Topics Looking for AWS project ideas? Then you’ve come to the right place because, in this article, we’ve shared multiple AWS proj
Read More

by Pavan Vadapalli

19 Sep 2023

Top 15 IoT Interview Questions & Answers 2023 – For Beginners & Experienced
These days, the minute you indulge in any technology-oriented discussion, interview questions on cloud computing come up in some form or the other. Th
Read More

by Kechit Goyal

15 Sep 2023

45+ Interesting Machine Learning Project Ideas For Beginners [2023]
Summary: In this Article, you will learn Stock Prices Predictor Sports Predictor Develop A Sentiment Analyzer Enhance Healthcare Prepare ML Algorith
Read More

by Jaideep Khare

14 Sep 2023

Why GPUs for Machine Learning? Ultimate Guide
In the realm of modern technology, the convergence of data and algorithms has paved the way for groundbreaking advancements in artificial intelligence
Read More

by Pavan Vadapalli

14 Sep 2023

Schedule 1:1 free counsellingTalk to Career Expert
footer sticky close icon