Statistical Analysis of Car Data Using Analysis of Covariance (ANCOVA)

Thaer Syam, Mahmoud M. Syam, Adnan Khan, Mahmoud I. Syam, Muhammad I. Syam

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Engineering statistics involves data concerning manufacturing processes such as: component dimensions, tolerances, type of material, and fabrication process control. In this work, some statistical analysis was done on a car data which was collected in 1983. This data set contains a sample of 66 cars from three different countries producers (USA, Japan, and Europe) in terms of their price and 13 different features. The objective was to determine how these quantitative variables affect the car price using the Analysis of Covariance (ANCOVA). Some analysis was done to find the best Multiple Linear Regression (MLR) model that identifies the most significant factors that influence the car price. The addition of removal of new factors was based on trial and error and based on the value of the linear correlation with the car price (Pearson coefficient of correlation r). 9 out of 13 factors were chosen based on MLR and the model selection/reduction analysis. The conclusion from ANCOVA analysis found that the European cars are the most expensive cars when compared to USA and Japan. Japan cars are the second expensive and USA cars are the cheapest.

Original languageEnglish
Title of host publicationMathematical Methods for Engineering Applications - ICMASE 2022
EditorsFatih Yilmaz, Araceli Queiruga-Dios, Jesús Martín Vaquero, Ion Mierluş-Mazilu, Deolinda Rasteiro, Víctor Gayoso Martínez
PublisherSpringer
Pages1-11
Number of pages11
ISBN (Print)9783031216992
DOIs
Publication statusPublished - 2023
Event3rd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2022 - Bucharest, Romania
Duration: Jul 4 2022Jul 7 2022

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume414
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference3rd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2022
Country/TerritoryRomania
CityBucharest
Period7/4/227/7/22

ASJC Scopus subject areas

  • General Mathematics

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