Measurement and Statistics_Dasch_Date__031910

Measurement and Statistics_Dasch_Date__031910 - Correlation...

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Correlation positive relationship- when one variable increases, the other variable increases negative relationship- when one variable increases, the other variable decreases - goal of correlations is to figure out the relationship between 2 variables what is the mean? What is the variation from the mean? Covariance - measure of average relationship between variables cov(x,y) = SUM(x i – mean of x)(y i – mean of y) (N – 1) example: (5-5.4)(8-11)+(4-5.4)(9-11)+(4-5.4)(10-11)+(6-5.4)(13-11)+(8-5.4)(15-11) 4 = -.4(-3)+(-1.4)(-2)+(-1.4)(-1)+(.6)(2)+(2.6)(4) 4 = 1.2+2.8+1.4+1.2+9.6 = 16.2 = 4.25 4 4 Pearson Correlation Coefficent - used to compare covariances r = cov(x,y) s x s y example: 4.25 = 4.25 = .87
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1.67(2.92) 4.88 - correlation varies between -1 and +1 0 = no relationship negative correlation = negative relationship positive correlation = positive relationship
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Measurement and Statistics_Dasch_Date__031910 - Correlation...

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