When performing polynomial regression, what effect does increasing the degree of the polynomial generally have?
Understand the Problem
The question is asking about the effects of increasing the degree of polynomial in polynomial regression, specifically how it influences model performance and behavior. The key concepts here are model complexity, overfitting, and flexibility in the context of regression analysis.
Answer
Increased fit and potential overfitting.
Increasing the degree of the polynomial in regression generally results in a better fit to the training data, but it can also lead to overfitting, where the model captures noise rather than the underlying data pattern.
Answer for screen readers
Increasing the degree of the polynomial in regression generally results in a better fit to the training data, but it can also lead to overfitting, where the model captures noise rather than the underlying data pattern.
More Information
Increasing the polynomial degree allows for more complex curves that can fit training data closely, but this complexity might not generalize well to unseen data.
Tips
A common mistake is continually increasing the degree to improve fit, leading to overfitting without considering the model's performance on new data.
Sources
- Understanding Polynomial Regression!!! - medium.com
- Polynomial Regression for Beginners - Analytics Vidhya - analyticsvidhya.com
- Does increasing the degrees of a polynomial regression ... - Quora - quora.com
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