In a regression problem with 1 output variable and p input variables, we carry out a a principal components regression with p principal components constructed from the input variables. This will result in     a significant level of dimensionality reduction. PCR is one of the leading methods for dimension reduction.     no dimensionality reduction whatsoever.     a potentially good level of dimensionality reduction depending on the quality of the principal components     us making a bad choice if we care about the output variable. In that case we should have used partial least squares as a better high dimensionality reduction technique.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
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Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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  1. In a regression problem with 1 output variable and p input variables, we carry out a a principal components regression with p principal components constructed from the input variables. This will result in

       

    a significant level of dimensionality reduction. PCR is one of the leading methods for dimension reduction.

       

    no dimensionality reduction whatsoever.

       

    a potentially good level of dimensionality reduction depending on the quality of the principal components

       

    us making a bad choice if we care about the output variable. In that case we should have used partial least squares as a better high dimensionality reduction technique.

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