The multidimensional comparative analyzes of transportation of people by rail were used in the article. The time series was analyzed and evaluated in order to detect the following phenomena: trend, seasonality and random factor. The initial time series was divided into parts in order to remove data that, due to the impact of a random phenomenon such as the COVID-19 pandemic, lost trends visible in the past (from January 2012 to December 2019). The Winters’ exponential smoothing method was used for the forecasting. The obtained forecast for 2024 is 390 380 000 passengers transported by rail in Poland. The mean absolute forecast error is 2,18.
The article presents a multidimensional comparative analysis of the number of passengers transported by air in Europe between 2019-2022 in terms of economic security. Data for the study was taken from Eurostat and categorized line and bar graphs were used. The conducted research shows that in 2021, in each of the considered European countries, an average of 138% of the number of passengers of 2020 were transported by air. In 2022, an increase to 230% of the number of passengers of 2021 was observed. The forecasting of the number of passengers conducted by air transport for 2023 in 29 European countries under consideration was made. A naive method was used for the forecasting. In 2023, the largest number of passengers will be transported in Spain, followed by Germany in the second place and France as third. The sum of the forecast of the number of passengers transported for 2023 in 29 European countries under consideration will equal 1 401 839 218 people and will be higher than in 2022 by 296 222 604 people.
The study attempts to forecast the total costs of a company in Poland. The first stage of the research was analyzing and evaluating the time series of total costs. It detected: trends, seasonality and a random factor. This became a premise for the application of two methods for forecasting: Holt-Winters’ multiplicative and additive. The research shows that the Holt-Winters’ multiplicative model proved to be better in forecasting total costs in the research subject. The forecasted total costs from July to December 2022 will reach PLN 45 395 685, while from January to December 2023, their value will amount to PLN 85 948 927.
The study presents a multidimensional comparative analysis of two dependent variables: the number of passengers transported by air in 28 European countries and the price of one barrel of crude oil in dollars. The conducted analysis shows that in the historical data concerning the identical periods (months) in both tested series, dependencies can be found. This allowed for the construction of a zero-one multiple regression model in order to confirm the impact of the number of passengers travelling by air on the price of one barrel of crude oil and describe this phenomenon with an analytical function.
The multidimensional comparative analysis and the forecasting of minimum salaries in 21 European countries were conducted in the study. The research began with the ranking of the data, the amount of salary rates taken as a basis, the rise expressed in euro and the values of dynamics indices on a constant base. Then the data was aggregated. The time series of the lowest salaries in 21 European countries was analyzed and evaluated. Thus, regularities were observed that were used to select the Holt-Winters’ exponential smoothing method for the forecasting of these salaries. The obtained forecasts were analyzed and evaluated with the use of indices, such as forecasting errors.