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Titlebook: Visualizing Linear Models; W. D. Brinda Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer

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Background: Linear Algebra, orthogonal projection and spectral decomposition that are not necessarily covered in a first linear algebra course. This chapter is almost entirely self-contained as it builds from the ground up everything that we will need later in the text. Two exceptions are Theorems 1.3 and 1.4 which point to e
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Linear Models,n vector is the orthogonal projection of the data onto that subspace. Now we will formulate probabilistic models for which the possible expectation vectors of the response variable comprise a subspace. Each type of model we discuss has a counterpart in our earlier study of regression, and we will re
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Textbook 2021nd to build a deep understanding of the principles, it‘s an excellent basis for a one-semester course on statistical theory and linear modeling for intermediate undergraduates or graduate students...Three chapters gradually develop the essentials of linear model theory. They are each preceded by a r
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Background: Linear Algebra,elf-contained as it builds from the ground up everything that we will need later in the text. Two exceptions are Theorems 1.3 and 1.4 which point to external references rather than being proven in this book or its exercise solutions.
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he resonance frequency. Also, the fluctuations in the magnetic field at the nucleus caused by its motions and those of nearby nuclei and impaired electrons determine the transition rates between the nuclear Zeeman energy levels and the rates at which phase coherence of the detectable component of th
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