Description: Multivariate regression is a statistical approach that allows for the analysis of the relationship between multiple dependent variables and a set of independent variables. Unlike simple regression, which focuses on a single dependent variable, multivariate regression simultaneously considers several response variables, making it a powerful tool for understanding complex systems. This type of analysis is fundamental in supervised learning, where the goal is to predict outcomes based on historical data. In data preprocessing, multivariate regression can help identify patterns and relationships between variables, facilitating data cleaning and transformation. From the perspective of applied statistics, this method allows researchers and analysts to make inferences about the population from samples, assessing the significance of independent variables in relation to the dependent ones. Key features of multivariate regression include the ability to handle interactions between variables, estimating marginal effects, and the potential for accurate predictions in contexts where multiple factors influence outcomes. Its relevance lies in its application across various disciplines, such as economics, biology, social sciences, and engineering, where detailed analysis of multiple factors affecting a specific phenomenon is required.
