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exam2FormulaFall2011(1)

# exam2FormulaFall2011(1) - Important Formulas Through Exam 2...

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Important Formulas - Through Exam 2 STAT 401G Inference about a Population Mean and Comparison of Two Population Means ¯ Y = Y 1 + Y 2 + · · · + Y n n s 2 = n i =1 ( Y i - ¯ Y ) 2 n - 1 s = s 2 ———————————————————————————————————————— SD( ¯ Y ) = σ n SE( ¯ Y ) = s n t = ¯ Y - μ SE ( ¯ Y ) df = n - 1 ———————————————————————————————————————— SD( ¯ Y 2 - ¯ Y 1 ) = σ s 1 n 1 + 1 n 2 SE( ¯ Y 2 - ¯ Y 1 ) = s p s 1 n 1 + 1 n 2 s p = s ( n 1 - 1) s 2 1 + ( n 2 - 1) s 2 2 n 1 + n 2 - 2 t = ( ¯ Y 2 - ¯ Y 1 ) - ( μ 2 - μ 1 ) SE ( ¯ Y 2 - ¯ Y 1 ) df = n 1 + n 2 - 2 ———————————————————————————————————————– Simple Linear Regression Source D.F. Sum of Squares Mean Square F Regression 1 SS reg = n i =1 y i - ¯ y ) 2 MSR = SS reg 1 MSR MSE Error n - 2 SSE = n i =1 ( y i - ˆ y i ) 2 MSE = SSE n - 2 Total n - 1 SST = n i =1 ( y i - ¯ y ) 2

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