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Unformatted text preview: z = ( x  μ )/ σ x = μ + (z)( σ ) z’ = desired mean + (z)(desired standard deviation) z Score Formulas 1 The Standard Normal Curve • Assumptions for using the Standard Normal Curve to determine probabilities for z Scores: • The data comes from a population that is normally distributed • The population mean is known • The population variance is known 2 3 Linear Correlation: Pearson’s r • A measure of the strength, and direction, of the linear relationship between two variables • Takes values ranging from 1 to 1 • Values of r close to 1 or 1 indicate a stronger relationship; values close to 0 indicate a weaker relationship • Positive values indicate a positive relationship; negative values indicate a negative relationship 4 z Score formula for r r = ∑ z x z y n  1 Where z x and z y are the sample ztransformed scores for the i th individual on the variables x and y , and n = the number of paired observations in the sample (i.e., half the total number of scores) z x = z x = x i X s x y i Y s y 5 Pearson’s r from Covariance SP xy SS x SS y r = Õ ∑ (x  X)(y  Y) ( ∑ (x  X) 2 )( ∑ (y  Y) 2 ) r = Õ Computational Formula for SP xy SP xy = ∑ (xy)  ( ∑ x )( ∑ y ) n 6 Linear Regression...
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 Winter '08
 Ard

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