What information is provided by rz? What are the primary uses of partial correlations?

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 27PFA
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What information is provided by r2?
What are the primary uses of partial correlations?
Transcribed Image Text:What information is provided by r2? What are the primary uses of partial correlations?
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a)  R2  (R-squared ) :R2 can be interpreted as a simple r2 ,a propotion of variance expalined .R21,2,3,...j..p=r2yy^=σ2y^σ2yThe variance predicted Y ,that is σ2y^, represents differences in Y due to the linear "effect"upon Y of the optimally weighted combination of the X' .Thus R2 represents total variance in Y that is expalined by the relationhip between Y and the weighted combination of X's

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