A valid and efficient method to teach Philosophy of science and technology courses in linear regression analysis is presented in this article. The method includes theory and practice parts, where interactive learning methodologies are created. It adopts case-study teaching, since this teaching method effectively integrates theoretical teaching and practical teaching. The lectures should be not an exhaustive review of regression methodology, but they should focus on how the regression models derived. Moreover, the teacher should pay more attention to the theoretical aspects of models rather than to their implementation using software. Students work in teams of three or four on a problem presented by teachers and choose relevant software to carry out their own projects. Feedback from students indicates that this method of teaching improves students' class attendance and greatly increases their interest in learning