If a predictor variable is well correlated with the other predictors, then standard error of its estimated coefficient must be bigger than a value obtained in the absence of such correlation. (true or false)?

If a predictor variable is well correlated with the other predictors, then standard error of its estimated coefficient must be bigger than a value obtained in the absence of such correlation. (true or false)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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Question

If a predictor variable is well correlated with the other predictors, then standard error
of its estimated coefficient must be bigger than a value obtained in the absence of
such correlation. (true or false)?

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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