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How do I know which regression model is better in R?

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Regression analysis

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Proceedings Article•DOI A novel approach for content based image retrieval in context of supervised learning and regression analysis Sushovan Chanda, Piyali Chandra - Show less +1 more 01 Dec 2016 1 Citations	More over R-Square indication provides the better regression line that fits the data.
Book Chapter•DOI Chapter 1 Allometry of Body Size and Abundance in 166 Food Webs Daniel C. Reuman, Christian Mulder, Carolin Banašek-Richter, Marie-France Cattin Blandenier, Anton M. Breure, Henri A. Den Hollander, Jamie M. Kneitel, Dave Raffaelli, Guy Woodward, Joel E. Cohen - Show less +9 more 01 Jan 2009-Advances in Ecological Research 72 Citations	The former model is also better than the model of symmetric linear regression.
Journal Article•DOI High-precision modeling of uplift capacity of suction caissons using a hybrid computational method Amir H. Alavi, Amir H. Gandomi, Mehdi Mousavi, Ali Mollahasani - Show less +3 more 01 Dec 2010-Geomechanics and Engineering 23 Citations	Furthermore, the GP/SA model provides a better prediction performance than the GP, regression and different models found in the literature.
Journal Article•DOI Coefficients of Determination for Multiple Logistic Regression Analysis Scott Menard 01 Feb 2000-The American Statistician 606 Citations	As expected, the conclusions based on R 2 analogs are not necessarily consistent with conclusions based on predictive efficiency, with respect to which of several outcomes is better predicted by a given model.
Journal Article•DOI An empirical study to develop temperature-dependent models for thermal conductivity and viscosity of water-Fe3O4 magnetic nanofluid Mehdi Bahiraei, Morteza Hangi - Show less +1 more 15 Sep 2016-Materials Chemistry and Physics 35 Citations	In addition, this model has a much better accuracy in comparison with the correlations obtained from regression.
Book Chapter•DOI A generic platform for model-based regression testing Philipp Zech, Michael Felderer, Philipp Kalb, Ruth Breu - Show less +3 more 15 Oct 2012 28 Citations	Our approach enhances existing model-based testing approaches with regression testing capabilities aiming at better tool support for model-based regression testing.
Journal Article•DOI A study of applying genetic programming to reservoir trophic state evaluation using remote sensor data L. Chen 01 Jan 2003-International Journal of Remote Sensing 45 Citations	The results show that the model has better performance than the traditional regression method.

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What are the advantages and disadvantages of the different regression research methods?5 answersRegression analysis and models have several advantages and disadvantages. The advantages include the ability to assess relationships or associations between variables and estimate the strength of these associations, as well as determine whether variables can predict another variable. Regression analysis is a powerful statistical technique that allows for the valid interpretation of complex data. However, it is important to note that regression analysis can only identify plausible risk factors and does not prove causation. Additionally, certain assumptions need to be met when applying regression analysis, which can be tested with specific diagnostics. Regression methods for paired measurements can face challenges due to lack of identifiability and the need for questionable assumptions. Large samples and two-phase sampling methods may be needed to improve the efficiency of instrumental variable regression estimators. Linear regression and correlation techniques are widely used but there is still ignorance about their validity and pros and cons.

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