Intro to Stats Formulas

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14 Terms

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Sample Mean

x̄ =∑x/n

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Population Mean

μ = ∑x/N

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Mean Absolute Deviation (MAD)

(∑ |x-μ| ) / N

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Sum of Squares Variance

Population: σ² = SS/N

where SS = ∑x2 - (∑x)2/N

Sample: s2= ss/(n-1)

where ss = ∑x2 - (∑x)2/n

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Standard Deviation

Population: σ=√σ²

Sample: s=√s2

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Z-Score

(x-μ) / σ

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Z-score equations solve for x

X = Zσ+μ

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Correlation Coefficient

Computational: r = SPxy / √SSxSSy

where SSx = ∑x2- ((∑x)2) /n

and SSy = ∑y2- ((∑y)2) /n

and SPxy = ∑xy - (((∑x)(∑y))/n)

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Straight Line

Y’ = b(x) + A

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Least Squares Slope

r (ssy/ssx)0.5

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Least Squares Intercept

a = ȳ - bx̄

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Standard Error of Estimate

Computational: Sy/x = √(SSy(1-r2) / (n-2))

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Addition rule

Pr(A or B) = Pr(A) + Pr(B)

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Multiplication rule

Pr(A and B) = Pr(A)*Pr(B)