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In building a regression model for the response variable y with a set of k random regressors xi , i = 1, ..., k, let

In building a regression model for the response variable y with a set of k random regressors xi , i = 1, ..., k, let ry,xi denote the observed correlation coefficient between y and xi , i = 1, ..., k. Can the values of ry,xi be used to select a subset of the regressors? Why?

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