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<metadata xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dc="http://purl.org/dc/elements/1.1/"><dc:title>A geometric view on inner transformation between the variables of a linear regression model</dc:title><dc:creator>Li,	Zhaoyang	(Avtor)
	</dc:creator><dc:creator>Antončič,	Boštjan	(Avtor)
	</dc:creator><dc:subject>econometrics</dc:subject><dc:subject>regression analysis</dc:subject><dc:subject>matrix singular value decomposition</dc:subject><dc:subject>Moore-Penrose generalized inverse</dc:subject><dc:subject>matrix inner transformation</dc:subject><dc:description>In the teaching and researching of linear regression analysis, it is interesting and enlightening to explore how the dependent variable vector can be inner-transformed into regression coefficient estimator vector from a visible geometrical view. As an example, the roadmap of such inner transformation is presented based on a simple multiple linear regression model in this work. By applying the matrix algorithms like singular value decomposition (SVD) and Moore-Penrose generalized matrix inverse, the dependent variable vector lands into the right space of the independent variable matrix and is metamorphosed into regression coefficient estimator vector through the three-step of inner transformation. This work explores the geometrical relationship between the dependent variable vector and regression coefficient estimator vector as well as presents a new approach for vector rotating.</dc:description><dc:date>2021</dc:date><dc:date>2021-12-22 09:16:47</dc:date><dc:type>Članek v reviji</dc:type><dc:identifier>134026</dc:identifier><dc:identifier>UDK: 51-7</dc:identifier><dc:identifier>ISSN pri članku: 2152-7385</dc:identifier><dc:identifier>DOI: 10.4236/am.2021.1210061</dc:identifier><dc:identifier>COBISS_ID: 83841027</dc:identifier><dc:language>sl</dc:language></metadata>
