135FormulaSheetSP16.docx - M135 Formula Sheet(Do not write...

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M135 Formula Sheet (Do not write on this) Ch.3: - Z-score: Data Value : z = x u σ x = z∙σ + u - Innerquartile Range : - Lower and Upper Fences : IQR= Q 3 – Q 1 LF= Q 1 – 1.5(IQR) UF=Q 3 + 1.5(IQR) - Empirical Rule : If the shape of the distribution is bell shaped, then: -Approx. 68% of the data lies within 1 standard deviation of the mean -Approx. 95% of the data lies within 2 standard deviations of the mean -Approx. 99.7% of the data lies within 3 standard deviations of the mean Ch.4: Residual = observed – predicted= y ^ y Ch. 5: Probabilities: - General Addition rule(2 Events): P ( E F ) = P ( E ) + P ( F ) P ( E F ) - Multiplication rule(Independent Events): P ( E F G ) = P ( E ) ×P ( F ) ×P ( G ) ×… - Conditional Probability Rule: P ( F | E ) = N ( E F ) N ( E ) - General Multiplication Rule: P ( E F ) = P ( E ) × P ( F | E ) - Compliment Rule: P ( E c ) = 1 P ( E ) Ch 6-7-8: Probability Distributions: - Discrete Probability Distribution: u = [ x i ∙P ( x i ) ] σ = ( x i u ) 2 ∙ P ( x i )
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- Binomial Distribution: u = n∙ p σ
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