2011
DOI: 10.1016/j.aller.2011.02.001
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Simple linear and multivariate regression models

Abstract: In biomedical research it is common to find problems in which we wish to relate a response variable to one or more variables capable of describing the behaviour of the former variable by means of mathematical models. Regression techniques are used to this effect, in which an equation is determined relating the two variables. While such equations can have different forms, linear equations are the most widely used form and are easy to interpret. The present article describes simple and multiple linear regression… Show more

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Cited by 27 publications
(7 citation statements)
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“…The explained and explanatory variables constituted a set of indicators for the achievement of SDG7. The following equation can describe the multiple regression model [48][49][50]:…”
Section: Trend Multiple Regressionmentioning
confidence: 99%
“…The explained and explanatory variables constituted a set of indicators for the achievement of SDG7. The following equation can describe the multiple regression model [48][49][50]:…”
Section: Trend Multiple Regressionmentioning
confidence: 99%
“…The Akaike Information Criterion (AIC) was used as selection criterion. AIC calculation is based on minimization of the loss of information function, penalizing for the number of variables introduced that seeks the model that best adjusts to the data with the minimum number of possible variables, thus producing simpler models [ 30 , 31 ]. The model that has been chosen minimizes the AIC.…”
Section: Methodsmentioning
confidence: 99%
“…. , a ni are regression coefficients of each predictor, including a 0i -the ith intercept, and ε i is the i-th residual [46,47]. The regression coefficients indicate the alteration of the dependent variables caused by a unit increase in the predictor variables.…”
Section: Multiple Linear Regression (Mlr)mentioning
confidence: 99%
“…The regression coefficients indicate the alteration of the dependent variables caused by a unit increase in the predictor variables. These coefficients facilitate a comparative assessment of the relative significance of each predictor for model output, providing insights into their respective impacts within the regression model [47]. The residuals indicate the spread of the true values of the target parameter around the regression line [46].…”
Section: Multiple Linear Regression (Mlr)mentioning
confidence: 99%