The bibliometric study addresses the scientific production employing multiple linear regression (MLR) and multicollinearity management for predictive model generation. It analyzes 541 articles from 1982 to 2023, highlighting steady annual growth and geographical distribution of research. The United States and China lead production, comprising 36.86% of documents. A growing trend in linear regression use within machine learning is observed. Applied research tackles multidisciplinary issues, primarily in social sciences. This study provides a detailed overview of current status, trends, and contributions in multicollinearity management in MLR models, emphasizing the importance of addressing this challenge for stable and valid predictive models.