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Patrick Breheny September 1 - College of Arts & Sciences

Ridge regression Selection of . Ridge regression in R/SAS. Ridge Regression Patrick Breheny September 1. Patrick Breheny BST 764: Applied Statistical Modeling 1/22. Ridge regression Definition and solution Selection of . Properties Ridge regression in R/SAS. Ridge regression: Definition As mentioned in the previous lecture, ridge regression penalizes the size of the regression coefficients Specifically, the ridge regression estimate . b is defined as the value of that minimizes X p X. (yi xTi )2 + j2. i j=1. Patrick Breheny BST 764: Applied Statistical Modeling 2/22. Ridge regression Definition and solution Selection of . Properties Ridge regression in R/SAS. Ridge regression: Solution Theorem: The solution to the ridge regression problem is given by b = (XT X + I) 1 XT y.

Ridge regression Selection of Ridge regression in R/SAS Ridge Regression Patrick Breheny September 1 Patrick Breheny BST 764: Applied Statistical Modeling 1/22

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