Linearna regresija i primjene

master's thesis

• Title (english): Linear Regression and Applications
• Author: Barbara Topolovec
• Mentor: Mario Krnić (mentor)
• Committee member: Mario Krnić (predsjednik povjerenstva)
• Committee member: Mario Osvin Pavčević (član povjerenstva)
• Committee member: Domagoj Kovačević (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2022-07-04, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Computing

Abstract

U ovom je radu objašnjen model linearne regresije te su prikazana njegova najvažnija svojstva. Opisan je model linearne regresije kao najjednostavniji oblik linearne regresije. Objašnjena je metoda najmanjih kvadrata kojom se procjenjuju parametri. Prikazan je i model višestruke linearne regresije dobiven dodavanjem prediktorskih varijabli u model, kao i razlika između prediktora i regresora. U radu se obrađuje interpretacija rezultata i regresora, a razmatra se i dodavanje kompleksnih regresora u model, kao što su faktori i polinomi. Uz to, razmatra se i grafička analiza podataka i rezultata. Na kraju, opisana je programska implementacija modela linearne regresije.

Abstract (english)

This thesis explains the linear regression model and presents its most important properties. In addition to simple regression, the model of multiple linear regression obtained by adding predictor variables to the model is presented, as well as difference between predictors and regressors. The thesis deals with the interpretation of results and regressors and considers the addition of complex regressors to the model, such as factors and polynomials. In addition, graphical analysis of data and results is studied. Finally, software implementation of the linear regression model is described.

• Keywords: model regresije; prediktor; regresor; izlazna varijabla; varijanca; funkcija očekivanja; parametar; predviđanje
• Keywords (english): Regression model; predictor; regressor; dependent variable; variance; mean function; parameter; prediction
• Language: croatian
• URN:NBN: urn:nbn:hr:168:995270
• Study programme: Title: Computing; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra inženjer/inženjerka računarstva (magistar/magistra inženjer/inženjerka računarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2023-01-14 10:10:01