Chapter II. Regression Analysis (Method of Least Squares)

1961 ◽  
Vol 9 (S3) ◽  
pp. 11-55
Keyword(s):  
Regression Analysis ◽  
Least Squares ◽  
Analysis Method ◽  
Method Of Least Squares

scholarly journals REGRESSION ANALYSIS OF THE COEFFICIENTS OF THE LOSS OF VIBRATIONAL ENERGY WHEN CALCULATING THE NOISE FROM OSSETIAN AND BORING MACHINES

Akustika ◽  
2019 ◽  
Vol 34 ◽  
pp. 95-99
Author(s):  
Alexander Shashurin ◽  
Marat Goguadze ◽  
Alexander Chukarin
Keyword(s):  
Regression Analysis ◽  
Energy Loss ◽  
Least Squares ◽  
Natural Frequencies ◽  
Vibrational Energy ◽  
Regression Coefficient ◽  
Geometric Mean ◽  
Loss Coefficient ◽  
Method Of Least Squares ◽  
Boring Machines

The purpose of this analysis is to approximate the analytical dependences which allow to calculate the vibrational energy loss coefficient at any frequency when calculating the noise from the axle lathe and boring machines. A regression analysis was conducted using the method of least squares. The paper presents the results of the regression coefficient calculations. The dependences obtained allow us to determine the loss coefficient value not only at the geometric mean frequencies of the octave spectrum, but also at the natural frequencies of oscillations.

Research on Several Problems in Partial Least Squares Regression Analysis

2014 ◽  
Vol 8 (1) ◽  
pp. 754-758 ◽  
Author(s):  
Ju Wu
Keyword(s):  
Mathematical Model ◽  
Regression Analysis ◽  
Linear Regression ◽  
Least Squares ◽  
Partial Least Squares ◽  
Partial Least Squares Regression ◽  
Linear Regression Analysis ◽  
Multiple Linear Regression Analysis ◽  
Least Squares Regression ◽  
Analysis Method

Purpose: preliminary discussion on model prediction precision in the partial least squares regression analysis method; Method: introduce current development conditions of partial least squares regression analysis, analyze problems of traditional regression analysis method such as multiple linear regression analysis, introduce the mathematic principle and modeling method of the partial least squares regression analysis method, and conduct detailed analysis on the partial least squares regression analysis modeling and prediction by using the classical Linnerud data. Result: The partial least squares regression analysis has the basic features of the multiple linear regression analysis and principal component analysis, can precisely predict multiple data and establish a precise mathematical model; Conclusion: The partial least squares regression analysis can provide precise mathematical model and can reserve the explaining variants remarkably associated to explained variants to most extent, so it is feasible to some extent and can meet the general requirements of engineering, economy, biology and medical statistical analysis.

scholarly journals Gender Pay Gap in the Czech Economy with Accent on ICT Professionals

2021 ◽  
Author(s):  
Lea Nedomová ◽  
Petr Doucek
Keyword(s):  
Regression Analysis ◽  
Czech Republic ◽  
Linear Regression ◽  
Least Squares ◽  
Gender Pay Gap ◽  
Method Of Least Squares ◽  
Pay Gap ◽  
The Czech Republic ◽  
The Subject ◽  
Level Of Significance

The subject of our article is a comparison of the level and development of the gender pay gap between selected EU countries (especially the V4 countries and other selected countries such as Austria and Slovenia) for the period 2009 - 2019. The analysis for the Czech Republic will be then supplemented by a comparison with the development of the gender pay gap in the economy and in ICT Professionals. To approximate the development of wages and GDP, we used the method of linear regression together with the method of least squares. All regression analysis calculations are performed at the 5% level of significance.

scholarly journals Removal of Arabinose Substituents from Corn Pericarp Arabinoxylan

2017 ◽  
Vol 4 (1) ◽  
pp. 41-45
Author(s):  
Tomoki Yoshida ◽  
Wahyu Dwianto ◽  
Yoichi Honda ◽  
Hiroshi Uyama ◽  
Jun-ichi Azuma
Keyword(s):  
Molecular Weight ◽  
Regression Analysis ◽  
Least Squares ◽  
Acid Hydrolysis ◽  
Amorphous State ◽  
Native State ◽  
Method Of Least Squares ◽  
Partial Acid Hydrolysis ◽  
Hydrolysis Of ◽  
Mean Molecular Weight

Partial acid hydrolysis of corn pericarp arabinoxylan (arabinose/xylose (A/X) ratio 0.35 and mean molecular weight of  53.6 × 103) was carried out at pH 1.0 for 1 ~ 6 h at 37 ~ 57 °C to remove arabinose substituents. The removal of arabinose could be described by regression analysis with the method of least squares. Following the regression profile, three kinds of desubstituted arabinoxylans having A/X ratios of 0.25, 0.12 and 0.03 with mean molecular weight values of 37.3 × 103, 15.6 × 103 and 7.2 × 103, respectively, could be prepared.  All corn pericarp arabinoxylans were in the amorphous state and the film formability of the native state was lost after the partial acid hydrolysis. 

Analisa Pengaruh Motivasi Konsumen, Persepsi Kualitas, Dan Sikap Konsumen Terhadap Keputusan Pembelian Sepeda Motor PT. Yamaha Indonesia MFG

CICES ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 188-203
Author(s):  
Ria Wulandari ◽  
M. Ifran Sanni ◽  
Dani Ramadhan
Keyword(s):  
Decision Making ◽  
Regression Analysis ◽  
Qualitative Analysis ◽  
Purchase Decisions ◽  
Analysis Method ◽  
Purchasing Decisions ◽  
Processing Data ◽  
Customer Purchases ◽  
Customer Attitudes ◽  
Quantitative And Qualitative Methods

This research is motivated by a decline in motorcycle sales produced by PT. Yamaha Indonesia MFG in the 2014-2018 period. In this research there was a decrease in the decision on the power of interest in customer purchases on PT. Yamaha Indonesia MFG so that later can be analyzed in the formulation of this paper, that how customer take motorcycle purchase decisions amid the phenomenon of competition and increasingly crowded sales rivalries. The purpose of this research was to analyze the influence of motivation, perceived quality, and customer attitudes toward decisions in purchasing Yamaha motorbikes. This research uses quantitative and qualitative methods. The respondents in this research were 100 people who could meet one to five criteria consisting of; initiator (initiator), influencer (influencer), decision making (decider), purchase (buyer), user (user) motorcycle production PT. Yamaha Indonesia MFG. There are 3 hypotheses formulated and tested using the Regression Analysis method. In qualitative analysis it is obtained from the interpretation of processing data by providing information and explanation. In the results of this research shows the results of Motivation, Quality Perception, and Customer Attitudes have a relationship that has a significant impact on Purchasing Decisions.

Adiksi Internet pada Remaja

2019 ◽  
Vol 7 (1) ◽  
pp. 72-78
Author(s):  
Ismalia Prambayu ◽  
Mulia Sari Dewi
Keyword(s):  
Regression Analysis ◽  
Social Skills ◽  
Multiple Regression Analysis ◽  
Multiple Regression ◽  
Parenting Style ◽  
Internet Addiction ◽  
Psychological Factors ◽  
Social Skill ◽  
Analysis Method ◽  
Loneliness Scale

AbstractInternet addiction has become a worrying phenomenon for Indonesian teenagers. This research was conducted to determine whether the psychological factors will influence internet addiction in adolescents. This research uses quantitative with multiple regression analysis method. The winning sample is 200 adolescents. The instrument collects data using a scale internet addiction scale that compiled by Griffiths (2005) and developed by Lemmens (2009), Parenting Authority Questionnaire (PAQ) developed by Buri (1991), Social Skill Inventory (SSI) developed by Riggio (1986), and A Rasch-Type Loneliness Scale compiled by De Jong Gierveld (2006).  The results showed that there were significant differences in the parenting style, social skills, and loneliness on the tendency of internet addiction in adolescents.AbstrakAdiksi Internet menjadi salah satu fenomena yang mengkhawatirkan untuk remaja Indonesia. Penelitian ini dilakukan untuk mengetahui faktor psikologis apakah yang memberikan pengaruh terhadap kecenderungan adiksi internet pada remaja. Sampel pada penelitian ini berjumlah 200 remaja dengan menggunakan metode analisis kuantitatif. Penelitian ini menggunakan alat ukur sebagai berikut, alat ukur adiksi internet yang dikembangkan oleh Lemmens (2009), Parenting Authority Questionnaire (PAQ) yang dikembangkan oleh Buri (1991), Social Skill Inventory (SSI) yang dikembangkan oleh Riggio (1986), dan A Rasch-Type Loneliness Scale yang disusun oleh De Jong Gierveld (2006). Berdasarkan hasil pengujian ditemukan pengaruh signifikan gaya pengasuhan, keterampilan sosial, dan kesepian terhadap kecenderungan adiksi internet pada remaja.

The limit state of concrete and reinforced concrete rods at complex and longitudinal-transverse bending

2020 ◽  
pp. 60-73
Author(s):  
Yu V Nemirovskii ◽  
S V Tikhonov
Keyword(s):  
General Solution ◽  
Least Squares ◽  
Nonlinear Differential Equations ◽  
Limit State ◽  
Algebraic Equations ◽  
Method Of Least Squares ◽  
Elasticity Limit ◽  
Limit Values ◽  
Symbolic Calculations ◽  
Deformation Diagrams

The work considers rods with a constant cross-section. The deformation law of each layer of the rod is adopted as an approximation by a polynomial of the second order. The method of determining the coefficients of the indicated polynomial and the limit deformations under compression and tension of the material of each layer is described with the presence of three traditional characteristics: modulus of elasticity, limit stresses at compression and tension. On the basis of deformation diagrams of the concrete grades B10, B30, B50 under tension and compression, these coefficients are determined by the method of least squares. The deformation diagrams of these concrete grades are compared on the basis of the approximations obtained by the limit values and the method of least squares, and it is found that these diagrams approximate quite well the real deformation diagrams at deformations close to the limit. The main problem in this work is to determine if the rod is able withstand the applied loads, before intensive cracking processes in concrete. So as a criterion of the conditional limit state this work adopts the maximum permissible deformation value under tension or compression corresponding to the points of transition to a falling branch on the deformation diagram level in one or more layers of the rod. The Kirchhoff-Lyav classical kinematic hypotheses are assumed to be valid for the rod deformation. The cases of statically determinable and statically indeterminable problems of bend of the rod are considered. It is shown that in the case of statically determinable loadings, the general solution of the problem comes to solving a system of three nonlinear algebraic equations which roots can be obtained with the necessary accuracy using the well-developed methods of computational mathematics. The general solution of the problem for statically indeterminable problems is reduced to obtaining a solution to a system of three nonlinear differential equations for three functions - deformation and curvatures. The Bubnov-Galerkin method is used to approximate the solution of this equation on the segment along the length of the rod, and specific examples of its application to the Maple system of symbolic calculations are considered.

PENGARUH TRUST, PRICE DAN SERVICE QUALITY TERHADAP INTENTION TO PURCHASE PELANGGAN BHINNEKA.COM

2017 ◽  
Vol 2 (3) ◽  
pp. 391-400
Author(s):  
Rianto Nurcahyo ◽  
Dennis Andry ◽  
Kevin Kevin
Keyword(s):  
Regression Analysis ◽  
Data Analysis ◽  
Service Quality ◽  
Multiple Regression Analysis ◽  
Multiple Regression ◽  
Positive Influence ◽  
Quantitative Approach ◽  
Analysis Method ◽  
Intention To Purchase ◽  
Trust Intention

The purpose of this study is to identify and understand the factors that can influence the intention to purchase through trust, price, and service quality on consumers Bhinneka.com. This research uses quantitative approach by distributing questionnaires to 100 respondents Bhinneka.com. Data analysis method used in this research is simple and multiple regression analysis. The result shows that the three variables used have a positive influence on intention to purchase variable. The most dominant variables in explaining the variation of intention to purchase are service quality variable of 35.5%, the price of 17.2%, and trust of 24.6%. Keywords: service quality, price, trust, intention to purchase

Sign in / Sign up

Export Citation Format

Share Document