A 6 12 a here as in problem 6 t is just the dot

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ith a a ￿ b￿ ￿ ·￿ aa ￿ √ ￿ . The shortest distance is (−9)2 + (−1)2 + (−1)2 + 112 = 204. a 6) 12) (a) Here, as in problem 6, ￿ T ￿ is just the dot product of ￿ with itself. This is m. aa a ￿ ￿ 1 Similarly ￿ T￿ = m bi so x = m m bi . ab ˆ i=1 i=1 ￿ − x￿ and ||e||2 = ￿m (bi − x)2 and the standard deviation is the square root of (b) ￿ = b ˆb e ˆ i=1 this last quantity. (c) ￿ = ￿ − x￿ = (1, 2, 6) − 3(1, 1, 1) = ( 2, −1, 3). This dots to 0 with (3, 3, 3). The e b ˆa − 111 ￿￿ T aa 1 projection matrix P = T = 1 1 1 . ￿￿ aa 3 111 22) We need to consider E (C, D) = (C − 2D − 4)2 + (C − D − 2)2 + (C − −1)2 + (C + D − 0)2 + (C + 2D)2 so ∂...
View Full Document

This note was uploaded on 01/30/2014 for the course MATH 2940 taught by Professor Hui during the Fall '05 term at Cornell.

Ask a homework question - tutors are online