Regression model: Definition, Types and examples - Voxco (2024)

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Table of Contents

What is regression model?​

A regression model determines a relationship between an independent variable and a dependent variable, by providing a function. Formulating a regression analysis helps you predict the effects of the independent variable on the dependent one.

Example: we can say that age and height can be described using a linear regression model. Since a person’s height increases as age increases, they have a linear relationship.

Regression models are commonly used as statistical proof of claims regarding everyday facts.

In this article, we will take a deeper look at the regression model and its types.

What are the different types of regression models?

There are three different types of regression models:

  1. Linear
  2. Non-linear
  3. Multiple

Let’s look at them in detail:

Linear regression model

A linear regression model is used to depict a relationship between variables that are proportional to each other. Meaning, that the dependent variable increases/decreases with the independent variable.

In the graphical representation, it has a straight linear line plotted between the variables. Even if the points are not exactly in a straight line (which is always the case) we can still see a pattern and make sense of it.

For example, as the age of a person increases, the level of glucose in their body increases as well.

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Regression model: Definition, Types and examples - Voxco (17)

Multiple regression model

A multiple regression model is used when there is more than one independent variable affecting a dependent variable. While predicting the outcome variable, it is important to measure how each of the independent variables moves in their environment and how their changes will affect the output or target variable.

For example, the chances of a student failing their test can be dependent on various input variables like hard work, family issues, health issues, etc.

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What is stepwise regression modeling?

Unlike the above-mentioned regression model types, stepwise regression modeling is more of a technique used when various input variables are affecting one output variable. The analyst will automatically proceed to measure the variable that is directly correlated input variable and build a model out of it. The rest of the variables come into the picture when he decides to perfect the model.

The analyst may add the remaining inputs one after the other based on their significance and the extent to which it affects the target variable.

For example, vegetable prices have increased in a certain areas. The reason behind the event can be anything from natural calamities to transport and supply chain management. When an analyst decides to put it out on a graph, he will pick up the most obvious reason, heavy rainfall in the agricultural regions.

Once the model is built, he can then add the rest of the affecting input variables into the picture based on their occurrence and significance.

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FAQs

Regression model: Definition, Types and examples - Voxco? ›

What is the regression model of data analysis? A regression model determines a relationship between an independent variable and a dependent variable, by providing a function. Formulating a regression analysis helps you predict the effects of the independent variable on the dependent one.

What is a regression model example? ›

A regression model provides a function that describes the relationship between one or more independent variables and a response, dependent, or target variable. For example, the relationship between height and weight may be described by a linear regression model.

What do regression models mean? ›

A regression model is a statistical model that estimates the relationship between one dependent variable and one or more independent variables using a line (or a plane in the case of two or more independent variables).

What is regression in research methodology? ›

Regression is a statistical method for estimating the relationship between two or more variables. In theory, regression can be used to predict the value of one variable (the dependent variable) from the value of one or more other variables (the independent variable/s or predictor/s).

What is the definition of regression and its types? ›

Regression is a technique used to model and analyze the relationships between variables and often times how they contribute and are related to producing a particular outcome together. A linear regression refers to a regression model that is completely made up of linear variables.

What are the three regression models? ›

In this article, we have explored three different types of regression models — Linear Regression, Lasso Regression, and Ridge Regression. We started with Linear Regression, the most straightforward of the three, which models a linear relationship between the dependent and independent variables.

How do you explain regression in simple terms? ›

Regression allows researchers to predict or explain the variation in one variable based on another variable. Definitions: ❖ The variable that researchers are trying to explain or predict is called the response variable. It is also sometimes called the dependent variable because it depends on another variable.

What is a regression model for dummies? ›

Regression is a statistical technique that relates a dependent variable to one or more independent variables. A regression model is able to show whether changes observed in the dependent variable are associated with changes in one or more of the independent variables.

Which regression model is best? ›

Linear Regression is often a suitable choice as the best regression model for data analysis when the relationship between the dependent variable and independent variables can be adequately represented by a linear equation.

What is an example of a regression analysis in real life? ›

Logistic regression is often used in healthcare to estimate binary outcomes, like whether a patient will develop a particular disease. For example, we could use logistic regression to predict the likelihood of a patient having diabetes based on factors like age, BMI, family history, and blood sugar levels.

What is the basic idea of regression? ›

The basic idea behind regression is to predict the value of a dependent variable based on the values of one or more independent variables. The dependent variable is also known as the response variable or outcome variable, while the independent variable is also known as the predictor variable or explanatory variable.

What is a regression analysis in layman's terms? ›

Regression analysis is a set of statistical methods used for the estimation of relationships between a dependent variable and one or more independent variables. It can be utilized to assess the strength of the relationship between variables and for modeling the future relationship between them.

What are the 2 most common models of regression analysis? ›

Regression analysis includes several variations, such as linear, multiple linear, and nonlinear. The most common models are simple linear and multiple linear. Nonlinear regression analysis is commonly used for more complicated data sets in which the dependent and independent variables show a nonlinear relationship.

How many models are there in regression? ›

Regression methods are widely used for predictive modeling. Most analytics professionals are familiar with only 2-3 common types such as linear and logistic regression. However, there are over 10 regression algorithms designed for different data and analyses.

What are the three types of multiple regression? ›

There are several types of multiple regression analyses (e.g. standard, hierarchical, setwise, stepwise) only two of which will be presented here (standard and stepwise). Which type of analysis is conducted depends on the question of interest to the researcher.

What are the common models in regression and classification? ›

The different types of regression algorithms include:
  • Simple linear regression. ...
  • Multiple linear regression. ...
  • Polynomial regression. ...
  • Decision tree classification. ...
  • Random forest classification. ...
  • K-nearest neighbor.
Oct 6, 2021

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