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Linear Regression (Paperback, Softcover reprint of the original 1st ed. 2017)
Loot Price: R4,195
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Linear Regression (Paperback, Softcover reprint of the original 1st ed. 2017)
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This text covers both multiple linear regression and some
experimental design models. The text uses the response plot to
visualize the model and to detect outliers, does not assume that
the error distribution has a known parametric distribution,
develops prediction intervals that work when the error distribution
is unknown, suggests bootstrap hypothesis tests that may be useful
for inference after variable selection, and develops prediction
regions and large sample theory for the multivariate linear
regression model that has m response variables. A relationship
between multivariate prediction regions and confidence regions
provides a simple way to bootstrap confidence regions. These
confidence regions often provide a practical method for testing
hypotheses. There is also a chapter on generalized linear models
and generalized additive models. There are many R functions to
produce response and residual plots, to simulate prediction
intervals and hypothesis tests, to detect outliers, and to choose
response transformations for multiple linear regression or
experimental design models. This text is for graduates and
undergraduates with a strong mathematical background. The
prerequisites for this text are linear algebra and a calculus based
course in statistics.
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