Linearna regresija i primjene

master's thesis

• Author: Veronika Obšivač
• Mentor: Marija Galić (mentor)
• Committee member: Marija Galić (predsjednik povjerenstva)
• Committee member: Petar Kunštek (član povjerenstva)
• Committee member: Bojan Basrak (član povjerenstva)
• Committee member: Vjekoslav Kovač (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2024-11-27, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Ovaj diplomski rad istražuje jednu od najčešće korištenih metoda u statistici –- linearnu regresiju. Nakon uvođenja osnovnih pojmova koji su ključni za razumijevanje ove tehnike napravljena je detaljna analiza modela jednostavne linearne regresije i najefikasnije metode procjene parametara, metode najmanjih kvadrata. Zatim je predstavljen model višestruke linearne regresije i primjer linearizacije funkcije. Daljnje istraživanje usmjereno je na matričnu formulaciju metode najmanjih kvadrata. Na samom kraju, dani su primjeri primjene ove metode u stvarnom životu.

Abstract (english)

This thesis delves into one of the most commonly used methods in statistics – the linear regression model. After introducing the basic concepts essential for understanding this technique, a detailed analysis of the simple linear regression model and the most efficient parameter estimation method, the least squares method, is provided. Next, a multiple linear regression model and an example of function linearization are presented. Further investigation focuses on the matrix formulation of the least squares method. Finally, examples of the method's application in real-life scenarios are presented.

• Keywords: Linearna regresija; primjena
• Keywords (english): linear regression; applications
• Language: croatian
• URN:NBN: urn:nbn:hr:217:712698
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar edukacije matematike (sveučilišni magistar edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-11-14 23:31:47