formula_sheet - Math 220 Formula Sheet x= s2 = x n ( x - x)...

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Unformatted text preview: Math 220 Formula Sheet x= s2 = x n ( x - x) n -1 2 x = E ( x) = 2 x = x x p( x) 2 x = x - ) 2 ( x) = x - E ( x )) 2 ( x) ( p ( p s = s2 z= x-x s y = a + bx y = a +bx = a + b x 2 2 2 y = a +bx = b 2 x Q1 1.5(IQR) Q3 1.5(IQR) y = a +bx =| b | x y = a1 x1 + a2 x2 + ... + an xn 68% : 95% : 2 99.7% : 3 - xy- y x sx s y r= n -1 y = a + bx b= ( x - x )( y - y ) ( x - x) 2 y = a1x1 + a2 x2 +...an xn = a1 x1 + a2 x2 + ... + an xn 2 2 2 2 2 2 y = a1 x1 + a2 x2 +...+ an xn = a12 12 + a2 2 + ... + an n 2 2 2 2 y = a1 x1 + a2 x2 +...+ an xn = a12 12 + a2 2 + ... + an n x- x = + z p = z= p = a = y - bx y = a + bx SSTo = y - y ) 2 = 2 - ( y n 2 n ( 2 y)2 n (1 - ) n np 10 n(1 - p) 10 p - p z= p p = (z critical value) p(1-p) n SS Re sid = y - y ) = - a - b ( y y xy SS Re sid r2 = 1- SSTo SS Re sid se = n-2 P( A n B) P( B) P ( A B ) = P ( A | B ) ( B ) P P( A | B) = n s x (t critical value) n x (z critical value) z critical value n = (1 - ) B x - o t= , n - 1df s/ n 2 z= p - (1- ) n x- s/ n p - (1 - ) n p - (1 - ) n p - (1 - ) n x -x 1 2 z= z= x1 - x2 - ( 1 - 2 ) 2 12 2 + n1 n2 x1 - x2 - ( 1 - 2 ) 2 s12 s2 + n1 n2 2 2 1 2 = + n1 n 2 p - value = P < z p - value = P > z p - value = 2 P > z t= df = ( V1 + V2 ) 2 V12 V2 + 2 n1 - 1 n 2 - 1 2 s1 s2 and V2 = 2 n1 n2 2 2 s1 s 2 + n1 n 2 where V1 = ( X1 - X 2 ) (t critical value) x - p - value = P < z / n x - p - value = P > z / n x - p - value = 2 P > z / n x - p - value = P < t s/ n x - p - value = P > t s/ n x - p - value = 2 P > t s/ n Confidence level 80% 90% 95% 98% 99% 99.8% 99.9% z critical value 1.28 1.645 1.96 2.33 2.58 3.09 3.29 ...
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This note was uploaded on 04/21/2008 for the course MATH 220 taught by Professor Ruffin during the Fall '07 term at James Madison University.

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