# R-squared

## What is R-squared?

In the context of artificial intelligence, R-squared is often used to evaluate the performance of predictive models. It quantifies how well the model's predictions match the actual data. An R-squared value ranges from 0 to 1, where 0 indicates that the model explains none of the variability in the data, and 1 indicates that it explains all the variability. A higher R-squared value generally indicates a better fit for the model, making it a useful metric for evaluating algorithms in supervised learning tasks. However, it's important to note that a high R-squared doesn't always mean the model is good; it could also indicate overfitting, where the model learns the noise rather than the signal in the data.

R-squared is a statistical measure that represents the proportion of variance for a dependent variable that's explained by an independent variable or variables in a regression model.

### Examples

- Predicting House Prices: An AI model developed to predict house prices in a city might have an R-squared value of 0.85. This means that 85% of the variation in house prices can be explained by the features used in the model, such as size, location, and number of bedrooms.
- Stock Market Predictions: A financial AI system designed to forecast stock prices might achieve an R-squared value of 0.60. This indicates that 60% of the variability in stock prices is explained by historical data and other financial indicators used in the model.

### Additional Information

- R-squared is also known as the coefficient of determination.
- It is crucial to combine R-squared with other metrics like Mean Squared Error (MSE) for a comprehensive evaluation of a model.