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Exam1Formulas

# Exam1Formulas - Name Section Formulae 1.0 Single variable...

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Name: Section: Formulae 1.0 Single variable statistics 1.1 Mean and standard deviations , (1) (2) 1.2 Test of means , (3) 1.3 definition (4) 2.0 Linear Regression For linear regression of the form we have and (5) (6) x x i i 1 = N N -------------------- = S x x i x ( ) 2 i 1 = N N 1 ------------------------------------ = x t conf σ x N ------- μ x x t conf σ x N ------- + < < t x 1 x 2 x 1 x 2 S x 1 2 N 1 S x 2 2 N 2 + --------------------------------------------- = ν int S x 1 2 N 1 S x 2 2 N 2 + ( ) 2 S x 1 2 N 1 ( ) 2 N 1 1 ------------------------ S x 2 2 N 2 ( ) 2 N 2 1 ------------------------ + -------------------------------------------------------- = χ 2 χ 2 Σ i 1 = k O i E i ( ) 2 E i ----------------------- = y ax b + = a N y i x i i 1 = N x i i 1 = N y i i 1 = N N x i 2 i 1 = N x i i 1 = N ( ) 2 ---------------------------------------------------------------------------- = b x i 2 i 1 = N y i i 1 = N x i i 1 = N y i x i i 1 = N N x i 2 i 1 = N x i i 1 = N ( ) 2 ---------------------------------------------------------------------------------------------- = r 2 N y i x i i 1 = N x i i 1 = N y i i 1 = N ( ) 2 N x i 2 i 1 = N x i i 1 = N ( ) 2 ( ) N y i 2 i 1 = N y i i 1 = N ( ) 2 ( ) --------------------------------------------------------------------------------------------------------------------------------- =

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