monfils 418_regression

monfils 418_regression - Sta$s$csandresearchdesign...

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Sta$s$cs and research design Lecture 14: Chapter 6. Correla$on and regression
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Covariance Correla$ons are based on covariance Covariance: the degree to which 2 variables vary together The formula:
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Correla$on Coefficient Symbolized by r Covariance divided by the product of standard devia$ons of each variable Formula:
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Prac$ce problems…
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Covariance: r:
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Correla$on Coefficient Symbolized by r Covariance divided by the product of standard devia$ons of each variable Formula: What happens when this is big? What generally makes this big? WHEN X and Y are moving together more! WHY? Because their [email protected] scores summate!
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Coefficient of determina$on: Interpreta$on: tells us the variance accounted for by a variable in the other variable r 2 Correla$on coefficient: r Interpreta$on: + = or ‐ = or
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Coefficient of determina$on, example Correla$on coefficient between variables, X and Y r = 0.7 = 0.49 What could we say based on these coefficients?
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monfils 418_regression - Sta$s$csandresearchdesign...

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