9 - Interpretation of Correlation and Regression

9 - Interpretation of Correlation and Regression - Chapter...

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Unformatted text preview: Chapter 9: Interpretive Aspects of Correlation and Regression PSY 201 2/20/08 Chapter 9: Interpretive Aspects of Correlation and Regression • Defined correlation as the measure of the degree of the relationship between two variables . • Assess this relationship by determining how each pair of scores (on X and Y) deviate from their means. ( 29 ( 29 Y X S nS Y Y X X r å-- = ( 29 n z z r Y X å = • Therefore, the size of a correlation really depends on whether each pair of scores have similar deviations from the mean. • Example in z score units: Subject z x z y 1 .23 -.23 2 -1.54 1.54 3 1.25 -1.25 • To the extent that this relationship holds for all pairs of scores, r will = -1.00 R as Slope of a Line • Y = bX + a • b = amount of vertical change/amount of horizontal change • Have seen that z’ Y =r z X, where r = b • When expressed with raw scors, b ≠ r • b = r(S Y /S X ) • Unstandardized Regression Coefficient (B) R and Standard Error of Estimate • When correlation is high, standard error of the estimate is low • Therefore, can express r as the ratio of S yx to S y 2 1 r S S Y YX- = 2 2 1 Y YX S S r- = • If S...
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This note was uploaded on 04/17/2008 for the course PSY 201 taught by Professor Arthur during the Spring '08 term at Purdue.

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9 - Interpretation of Correlation and Regression - Chapter...

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