Regression is a statistical and machine learning technique used to understand the relationship between a target variable and one or more independent variables. By fitting a function—often a line or a curve—to data points, regression allows us to predict continuous values, identify trends, and quantify how changes in inputs affect the output. Common forms of regression include linear regression, which fits a straight line to data, and more complex models that capture non-linear patterns.
How It Works:
- Model Fitting: Using a given dataset, the algorithm finds parameters (e.g., slope and intercept in linear regression) that best minimize the difference between predicted and actual values.
- Error Minimization: Techniques like least squares are applied to reduce prediction errors, ensuring the model closely represents the underlying relationship.
- Prediction and Analysis: Once trained, the model can forecast future outcomes, offer insights into which factors have the greatest impact, and aid in decision-making.
Why It Matters:
Regression is fundamental in fields like economics, healthcare, and environmental science, providing a means to make informed predictions, understand influencing factors, and guide strategy. By modeling relationships between variables, regression helps organizations and researchers drive data-driven decisions and better understand the world around them.