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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:
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:
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
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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