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Ovim radom prikazan je linearni regresijski model na primjeru broja registriranih poslovnih subjekata i broja zaposlenih u istima. Obuhvaćene su sve županije Republike Hrvatske. Podaci o broju registriranih poslovnih subjekata i zaposlenih koji su obrađeni u ovoj analizi odnose se na stanje 31. ožujka 2015. godine. Poslovni subjekti obuhvaćaju pravne osobe ali i obrte i slobodna zanimanja. Broj zaposlenih u poslovnim subjektima služi za iskazivanje strukture i veličine poslovnih subjekata. Ovim radom se nastoji prikazati međuodnos broja registriranih poslovnih subjekata i broja zaposlenih u istima. Jednostavnom linearnom regresijom promatra se utjecaj jedne nezavisne varijable na zavisnu varijablu, što je u ovom radu prikazano na primjeru zaposlenosti u poslovnim subjektima, gdje je broj registriranih poslovnih subjekata nezavisna varijabla, a broj zaposlenih zavisna varijabla. Regresijski model koji se koristi u izračunima, osim parametara a i b, sadrži i slučajnu pogrešku u koja obuhvaća varijable koje nisu uključene u postavljeni model, a utječu na zavisnu varijablu. Pomoću metode najmanjih kvadrata se u dijagram rasipanja ucrtava linija regresije, tamo gdje je ukupna kvadratna udaljenost svih točaka x i y od ucrtane linije regresije pri tome minimalna. Koeficijent determinacije izračunat u primjeru zaposlenosti u poslovnim subjektima pokazuje da je prihvatljivo donositi predviđanja na temelju regresijskog modela. Što je veći koeficijent determinacije, model regresije je reprezentativniji. Koeficijent korelacije pokazuje snažnu povezanost varijable broja registriranih poslovnih subjekata i varijable broja zaposlenih. This work presents a linear regression model based on the number of registered business entities and the number of their employees. All counties of Republic of Croatia are covered. Data on the number of registered business entities and employees to be processed in this analysis refer to the status as of March 31, 2015. Business entities include legal persons, as well as crafts and free occupations. The number of employees in business entities is used to express the structure and size of business entities. This paper shows the relationship between the number of registered business entities and the number of employees in the same. Simple linear regression is used to measure the influence of an independent variable on the dependent variable, as shown in this paper on the example of employment in business entities, where the number of registered business entities is an independent variable and the number of employees is a dependent variable. The regression model used in the calculations, apart from the parameters a and b, also contains a random error that includes variables that are not included in the set model and affect the dependent variable. Using the least squares method, in the scatter diagram, the regression line is computed, where the total squared distance of all points x and y of the drawn regression line is minimal. The coefficient of determination calculated in the example of employment in business entities shows that it is acceptable to make prediction based on the regression model. The higher the coefficient of determination, the regression model is more representative. The coefficient of correlation shows a strong correlation between the number of registered business entities and the variables of the number of employees |
