Regression Models for Determining Dependencies on Various Factors on the Railway Line Zohor – Záhorská Ves

Public passenger transport is presented as an opportunity to achieve future goals for establishing sustainable transportation systems. These systems are demanded from every member country of the EU for securing an ecologically friendly, fast, and reliable way of traveling in regions. Railway passenger transport is proven as a reliable and capable way of connecting regions. In many EÚ countries, railway transport has a certain gap, that could be improved without significant investments. In this study, we are focusing on negative consequences emerging from the cancelling operation of passenger transport on the chosen railway track. Most of the cancelations are affected by external influences. Individual car transport presents significant reasons with a noticeable impact on the potential of railway passenger transport in every region. On the railway line addressed in this article, passenger transport was cancelled in December 2019. This step was implemented for the constantly declining number of passengers. The object of the research is statistical dependence, characterized by the fact that the dependent variable is affected not only by independent variables but also by other unspecified variables and random effects. They are often called model faults or errors. This fact must be captured in a mathematical expression in a regression model. Based on this decision, it is necessary to seek answers to this situation using regression models that show the relationships between the number of passengers carried and the factors influencing their development. The main hypothesis is that the canceled of passenger transport was caused by low use by passengers. For example, with an increase/decrease in population, the number of passengers should increase/decrease the article verifies the dependences of the use of railway transport on the population of individual municipalities and on the development of fuel prices. Various dependencies (linear, polynomial, etc.) are used to test hypotheses. Testing of these dependencies will be performed using Fisher–Snedecor distribution. In the final part, the article also deals with the possibilities of using this line, as freight railway transport is no longer operated on this line. The research was carried out by a case study.