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  • A geometric view on inner transformation between the variables of a linear regression model
    Li, Zhaoyang, 1962- ; Antončič, Boštjan
    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.
    Vir: Applied mathematics. - ISSN 2152-7385 (no. 10, Vol. 12, 2021, str. 931-938)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 83841027

    Povezava(-e):

    Repozitorij Univerze v Ljubljani – RUL
    DOI

vir: Applied mathematics. - ISSN 2152-7385 (no. 10, Vol. 12, 2021, str. 931-938)
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