A Visual Explanation of Linear Regression

Linear regression is a modeling technique that finds a mathematical relationship between variables, such as predicting an apartment's price based on its number of rooms. The model is built by fitting a line to the data using methods like least squares, and its quality is then assessed through visual checks and statistical metrics like R-squared. To improve a model's performance, you can incorporate more features, carefully handle outliers, and preprocess the data through techniques like standardization. More advanced concepts like numerical optimization with gradient descent and regularization methods are also used to prevent overfitting and handle complex scenarios.