Chapter 3. Ordinary Multiple Linear Regression and Principal Components Regression

Author(s):  
Joan Ferré-Baldrich ◽  
Ricard Boqué-Martí
2016 ◽  
Vol 16 (3) ◽  
pp. 138-145 ◽  
Author(s):  
Atsushi Kawamura ◽  
Chunhong Zhu ◽  
Julie Peiffer ◽  
KyoungOk Kim ◽  
Yi Li ◽  
...  

Abstract We investigated the distinctive characteristics of jean fabrics (denim fabrics obtained from jeans) and compared the physical properties and the hand. We used 13 kinds of jean fabric from commercial jeans and 26 other fabric types. The physical properties were measured using the Kawabata evaluation system, and the fabric hand was evaluated by 20 subjects using a semantic differential method. To characterise the hand of jean fabrics compared with other fabrics, we used principal component analysis and obtained three principal components. We found that jean fabrics were characterised by the second principal component, which was affected by feelings of thickness and weight. We further characterised the jean fabrics according to ‘softness & smoothness’ and ‘non-fullness’, depending on country of origin and type of manufacturer. The three principal components were analysed using multiple linear regression to characterise the components according to the physical properties. We explained the hand of fabrics including jean fabrics using its association with physical properties.


1984 ◽  
Vol 49 (5) ◽  
pp. 1182-1192 ◽  
Author(s):  
Miroslav Ludwig ◽  
Oldřich Pytela ◽  
Karel Kalfus ◽  
Miroslav Večeřa

Thirteen monosubstituted arylsulphonamides (XC6H4SO2NH2) and two 3,4-disubstituted arylsulphonamides (X2C6H3SO2NH2) have been synthetized and their dissociation constants have been measured by potentiometric titration in water, methanol, and ethanol. The Hammett substitution dependences have been calculated for all the media, and changes in the reaction constants due to transition from water to alcohols are discussed in confrontation with analogous dependences of benzoic acids. The reaction constant ρ found in methanol is lower than that in water. The dissociation constants have been treated mathematically by the method of the principal components and by multiple linear regression.


2015 ◽  
Vol 2 (4) ◽  
pp. 1317-1337 ◽  
Author(s):  
T. S. dos Santos ◽  
D. Mendes ◽  
R. R. Torres

Abstract. Several studies have been devoted to dynamic and statistical downscaling for analysis of both climate variability and climate change. This paper introduces an application of artificial neural networks (ANN) and multiple linear regression (MLR) by principal components to estimate rainfall in South America. This method is proposed for downscaling monthly precipitation time series over South America for three regions: the Amazon, Northeastern Brazil and the La Plata Basin, which is one of the regions of the planet that will be most affected by the climate change projected for the end of the 21st century. The downscaling models were developed and validated using CMIP5 model out- put and observed monthly precipitation. We used GCMs experiments for the 20th century (RCP Historical; 1970–1999) and two scenarios (RCP 2.6 and 8.5; 2070–2100). The model test results indicate that the ANN significantly outperforms the MLR downscaling of monthly precipitation variability.


2016 ◽  
Vol 23 (1) ◽  
pp. 13-20 ◽  
Author(s):  
T. Soares dos Santos ◽  
D. Mendes ◽  
R. Rodrigues Torres

Abstract. Several studies have been devoted to dynamic and statistical downscaling for analysis of both climate variability and climate change. This paper introduces an application of artificial neural networks (ANNs) and multiple linear regression (MLR) by principal components to estimate rainfall in South America. This method is proposed for downscaling monthly precipitation time series over South America for three regions: the Amazon; northeastern Brazil; and the La Plata Basin, which is one of the regions of the planet that will be most affected by the climate change projected for the end of the 21st century. The downscaling models were developed and validated using CMIP5 model output and observed monthly precipitation. We used general circulation model (GCM) experiments for the 20th century (RCP historical; 1970–1999) and two scenarios (RCP 2.6 and 8.5; 2070–2100). The model test results indicate that the ANNs significantly outperform the MLR downscaling of monthly precipitation variability.


2020 ◽  
pp. 291-317
Author(s):  
Ana Nieto Masot ◽  
Nerea Ríos Rodríguez ◽  
Gema Cárdenas Alonso

Desde finales del siglo XX, la aparición de nuevas tendencias y modelos de consumo del turismo ha permitido la proliferación de equipamientos turísticos en Extremadura, optándose por la explotación de los recursos patrimoniales, tanto naturales como culturales. Así, en este trabajo se analizan la oferta y demanda del sector turístico en la región extremeña, haciendo hincapié en la clasificación por Territorios Turísticos del gobierno regional. Para ello, se realiza un análisis de variables económicas, patrimoniales y sociales mediante las técnicas de Regresión Lineal Múltiple (OLS), Análisis de Componentes Principales y Sistemas de Información Geográfica (SIG). Se podrá ver qué Territorios Turísticos han implantado mejores líneas de actuación encaminadas a la recepción de visitantes, al incremento de las rentas económicas y a una preservación de la población en los espacios rurales, así como cuáles presentan deficiencias en su desarrollo turístico. Since the end of the last century, the development of new trends and tourism consumption models has allowed the proliferation of tourist equipment in Extremadura, exploiting the heritage resources, both natural and cultural. In this paper, supply and demand of tourist sector in Extremadura are analyzed, emphasizing the classification by Tourist Territories of the regional government. For this, economic, social and patrimonial variables are studied through the Multiple Linear Regression statistic (OLS), Principal Components Analysis (PCA)and Geographic Information Systems (GIS). It will be seen what Tourist Territories have implemented better strategies intend to reception of visitors, the increase of economic rents and the preservation of the population in rural areas, as well as which ones present deficiencies in their tourist development.


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