Suppose you want to investigate the relationship between a dependent variable Y and two potential explanatory variables

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Suppose you want to investigate the relationship between a dependent variable Y and two potential explanatory variables X1 and X2. Is the R2 value for the equation with both X variables included necessarily at least as large as the R2 value from each equation with only a single X? Explain why or why not. Could the R2 value for the equation with both X variables included be larger than the sum of the R2 values from the separate equations, each with only a single X included? Is there any intuitive explanation for this?

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Business Analytics Data Analysis and Decision Making

ISBN: 978-1305947542

6th edition

Authors: S. Christian Albright, Wayne L. Winston

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