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Statistical Analysis with Software Application

Midterm Act 1: Summation Notation

1. Compute for the sum. X1=1,X2=4,X3=3,X4=5,X5=2 4 in+2 i=1 2. Prove the theorem 5 8 2 xi = Z x(i 3) i =1 i=4 3. Expand the notation 22.. j=2i=1 Here is the sample format: Example: 2 2 2 [ LX; = Z( X, + X2j) = (X12 + X21 ) j=1 i=1 j =1 + (X12 + X22) B C E F G H I K L n n 76 SC nc Icx sub i cE x sub i i = 1 i = 1 i =1 125 = c * (x1 + x2 + ... + xn) In (c*x1) + (c*x2) + . +(c"xn) 288 288 c * (x1 + x2 + ... + xn) c * (x1 + x2 + ... + xn) C+c+c 5+5+ 5 3* 5 n n 15 15 [ (x sub i + y sub i) E x sub i + Ey sub i i = 1 i = 1 i = 1 2 (x1 + y1) + (x2 + y2) + . + (xn + yn) = (x1 + x2 + .. +xn) (y1 + y2 + ... + yn) 11 21 (x1 + y1) + (x2 + y2) + ... + (xn + yn] (x1 + y1) + (x2 + y2) + ... + (xn + yn) 12 22 My w (x11 + x21 + x31) + (x12 + x22 + x32) + (x13 + x23 + x33) 1= 1 i = 1