Linear VS Non-Linear Regression

Feature

Linear Regression

Non Linear Regression

Relationship between variablesAssumes a linear relationship between the independent and dependent variablesAllows for non-linear relationships between the independent and dependent variables
Model complexitySimpler model with fewer parametersMore complex model with more parameters
InterpretabilityHighly interpretable due to the linear relationshipLess interpretable due to the non-linear relationship
Overfitting susceptibilityMore susceptible to overfitting due to its simplicityLess susceptible to overfitting due to its ability to capture complex relationships
FlexibilityRequires large datasets to accurately estimate the linear relationshipCan work with smaller datasets due to its flexibility
ApplicationsSuitable for predicting continuous target variables when the relationship is linearSuitable for predicting continuous target variables when the relationship is non-linear
ExamplesPredicting house prices based on size and locationPredicting customer churn based on behavioral patterns

Understanding Nonlinear Regression with Examples

In this article, we will see some examples of non-linear regression in machine learning that are generally used in regression analysis, the reason being that most of the real-world data follow highly complex and non-linear relationships between the dependent and independent variables.

Table of Content

  • Non-linear regression in Machine Learning
  • Assumptions in NonLinear Regression
  • Types of Non-Linear Regression
  • Non-Linear Regression Algorithms
  • Evaluating Non-Linear Regression Models
  • How does a Non-Linear Regression work?
  • Linear VS Non-Linear Regression
  • Applications of Non-Linear Regression
  • Advantages & Disadvantages of Non-Linear Regression
  • Frequently Asked Questions (FAQs) on Non-Linear Regression

Similar Reads

Non-linear regression in Machine Learning

Nonlinear regression refers to a broader category of regression models where the relationship between the dependent variable and the independent variables is not assumed to be linear. If the underlying pattern in the data exhibits a curve, whether it’s exponential growth, decay, logarithmic, or any other non-linear form, fitting a nonlinear regression model can provide a more accurate representation of the relationship. This is because in linear regression it is pre-assumed that the data is linear....

Assumptions in NonLinear Regression

These assumptions are similar to those in linear regression but may have nuanced interpretations due to the nonlinearity of the model. Here are the key assumptions in nonlinear regression:...

Types of Non-Linear Regression

There are two main types of Non Linear regression in Machine Learning:...

Non-Linear Regression Algorithms

Nonlinear regression encompasses various types of models that capture relationships between variables in a nonlinear manner. Here are some common types:...

Evaluating Non-Linear Regression Models

Evaluating the performance of a nonlinear regression model is crucial to ensure it accurately represents the underlying relationship between the independent and dependent variables....

How does a Non-Linear Regression work?

Non-linear regression algorithms work by iteratively adjusting the parameters of a non-linear function to minimize the error between the predicted values of the dependent variable and the actual values. The specific function used depends on the nature of the relationship between the variables, and there are many different types of non-linear functions that can be used....

Linear VS Non-Linear Regression

...

Applications of Non-Linear Regression

...

Advantages & Disadvantages of Non-Linear Regression

...

Conclusion

...

Frequently Asked Questions (FAQs) on Non-Linear Regression

...