Why We Cannot Use Linear Regression For Classification Task? (2024)

Why We Cannot Use Linear Regression For Classification Task? (1)

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Published Mar 19, 2024

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Linear regression is a statistical technique used to understand the relationship between two continuous variables by fitting a straight line to the data points. However, it's not suitable for classification tasks where the goal is to predict which category or class an observation belongs to.

One fundamental reason why linear regression isn't apt for classification tasks is its output nature. Linear regression predicts continuous values along a straight line, which makes sense for predicting quantities like house prices or temperature. But in classification, we're interested in categorical outcomes, like whether an email is spam or not, or whether a tumor is benign or malignant. These outcomes can't be accurately represented by a straight line.

Moreover, linear regression predictions can fall outside the range of possible outcomes for classification problems. For instance, if we're classifying emails as spam or not spam, linear regression might predict values like -2 or 1.5, which don't correspond to meaningful categories.

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Another issue is that linear regression assumes a linear relationship between the independent variables and the target variable. In classification, the decision boundaries that separate different classes are rarely linear. Think about classifying images of cats and dogs: the features that distinguish them are complex and nonlinear, like fur texture or ear shape.

Furthermore, linear regression is sensitive to outliers, meaning that a single extreme data point can significantly affect the slope and intercept of the line. In classification, outliers are common and might belong to either class, so we need a model that's more robust to such variations.

To address these shortcomings, specialized algorithms like logistic regression, decision trees, support vector machines, or neural networks are used for classification tasks. These models can handle categorical outcomes, nonlinear relationships, and are more resilient to outliers, making them more appropriate choices for classification tasks than linear regression.

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Why We Cannot Use Linear Regression For Classification Task? (2024)

FAQs

Why We Cannot Use Linear Regression For Classification Task? ›

There are two things that explain why Linear Regression is not suitable for classification. The first one is that Linear Regression deals with continuous values whereas classification problems mandate discrete values. The second problem is regarding the shift in threshold value when new data points are added.

Can you use linear regression for classification tasks by putting a threshold on its output? ›

You can, of course, but there are two problems with this: It is probably not reasonable to assume a linear relationship between the two variables. In particular, if it leads to negative (or >1) predictions for relevant values of the predictor, it is certainly not reasonable.

Can we use regression models for classification? ›

Linear regression can be used for classification too. On the diabetes data, use the NominalToBinary filter to convert the two classes, which are nominal, to the numeric values 0 and 1, and apply linear regression. The result is a predicted number between 0 and 1 for each instance.

Why do we need to use classification instead of regression? ›

Regression algorithms solve regression problems such as house price predictions and weather predictions. Classification algorithms solve classification problems like identifying spam e-mails, spotting cancer cells, and speech recognition.

Why not to use linear regression? ›

Furthermore, the data must not include one or a few extreme values since these may create a false sense of relationship in the data even when none exists. If these assumptions are not met, the results of linear regression analysis may be misleading.

Why is linear regression not suitable for classification? ›

There are two things that explain why Linear Regression is not suitable for classification. The first one is that Linear Regression deals with continuous values whereas classification problems mandate discrete values. The second problem is regarding the shift in threshold value when new data points are added.

What is the difference between the output of regression and classification task? ›

The most significant difference between regression vs classification is that while regression helps predict a continuous quantity, classification predicts discrete class labels.

Can we use linear regression for multi class classification? ›

For multiclass problems, multinomial logistic regression would typically be used rather than a combination of multiple regular logistic regression models. By analogy, one could instead use least squares linear regression with multiple outputs.

Can you combine regression and classification? ›

Some prediction problems require predicting both numeric values and a class label for the same input. A simple approach is to develop both regression and classification predictive models on the same data and use the models sequentially.

Can linear regression be used for image classification? ›

Linear regression can be used for image recognition by treating each pixel as an independent variable and assigning a weight to it. The weight represents how much each pixel contributes to the label of the image. To make a prediction, the model sums up the weighted pixels and compares it to a threshold.

Why is logistic regression better than linear regression for classification? ›

Both methods are used for prediction purposes. Linear regression predicts a continuous outcome, while logistic regression predicts a categorical outcome, specifically the probability of the outcome belonging to a particular class.

What is the regression model Cannot be used for? ›

Regression cannot be used to identify non-linear relationships between two variables.

In which situation is classification better than regression? ›

Robustness to outliers: Classification models are typically more robust to outliers and data errors than regression models. This is because classification models only focus on the categorical relationship between the input and output variables rather than the exact numerical relationship.

What are the disadvantages of linear regression? ›

One of the main disadvantages of using linear regression for predictive analytics is that it is sensitive to outliers and noise. Outliers are data points that deviate significantly from the rest of the data, and noise is random variation or error in the data.

Why linear regression is wrong? ›

There are lots of reasons why linear regression may perform "so bad". A linear regression model may in fact be appropriate but there is a lot of noise in the data. In other words, the explanatory variables that you have simply don't explain enough of the variation in the response.

What are the major problems of linear regression? ›

Five problems that lie in the scope of this article are:
  • Non-Linearity of the response-predictor relationships.
  • Correlation of error terms.
  • A non-constant variance of the error term [Heteroscedasticity]
  • Collinearity.
  • Outliers and High Leverage Points.
Jan 2, 2021

What is a threshold linear regression? ›

Threshold regression models are a diverse set of non-regular regression models that all depend on change points or thresholds. They provide a simple but elegant and interpretable way to model certain kinds of nonlinear relationships between the outcome and a predictor.

In what situations is linear regression not a suitable method? ›

Answer: Linear regression is not suitable for classification because it predicts continuous outcomes rather than discrete classes.

What is thresholding for classification? ›

The classification threshold in machine learning is a boundary or a cut-off point used to assign a specific predicted class for each object. You need to set this threshold when working with probabilistic machine learning models. These models do not assign the label directly.

In what situations is linear regression a suitable method? ›

If you work for a business or organization, you can use linear regression to help them make informed decisions. Specifically, if you collect large data amounts, this process may assist with your analysis efforts because you can use it to transform raw data into purposeful data.

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