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Journals / Eğitimde ve Psikolojide Ölçme ve Değerlendirme Dergisi / 2016 / Cilt: 7 - Sayı: 2

Comparison of Classical Linear Regression and Orthogonal Regression According to the Sum of Squares Perpendicular Distances

Taliha KELEŞ
Murat ALTUN
Pages
296–308
Publication Date
2016-12-20
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It was found that the sum of squared perpendicular distances of OR is smaller.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Regression analysis is a statistical technique for investigating and modeling the relationship between variables.
📊
Key Findings & Data:The purpose of this study was the trivial presentation of the equation for orthogonal regression (OR) and the comparison of classical linear regression (CLR) and OR techniques with respect to the sum of squared perpendicular distances.
💡
Conclusion & Impact:It was found that the sum of squared perpendicular distances of OR is smaller.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

Regression analysis is a statistical technique for investigating and modeling the relationship between variables. The purpose of this study was the trivial presentation of the equation for orthogonal regression (OR) and the comparison of classical linear regression (CLR) and OR techniques with respect to the sum of squared perpendicular distances. For that purpose, the analyses were shown by an example. It was found that the sum of squared perpendicular distances of OR is smaller. Thus, it was seen that OR line has appeared to present a much better fit for the data than CLR line. Depending on those results, the OR is thought to be a regression technique to obtain more accurate results than CLR at simple linear regression studies.

🔖

Cite This Article

KELEŞ, T., ALTUN, M. (2016). Comparison of Classical Linear Regression and Orthogonal Regression According to the Sum of Squares Perpendicular Distances. Eğitimde ve Psikolojide Ölçme ve Değerlendirme Dergisi, Cilt: 7 - Sayı: 2, 296–308. https://ajindex.com/articles/137349

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