1384758512_795__232_lecture_7.8

# 30 n ix5 where xi is a weight and yi the elongation

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Unformatted text preview: n limit laws weight xi , for a single spring, ﬁnd the Asst #3 Due a and b associated to this spring. values 14 Dec 10 Presentations A practical problem. The measurements are likely to be imperfect and there is no couple (a, b) such that xi = a + bxi for all n measurements. Solution. Find a line y = a + bx (the mathematical model for the data) that minimizes (in a way to deﬁne) the error to the observations, or in other Dr. Marni MISHNA, Department of Mathematics, SIMON FRASER UNIVERSITY measurements. words, that approximates best the Version of: 11-Dec-09 The least-squares approximation. We want to ﬁnd a and b such that n (yi − (a + bxi ))2 i=1 is minimized over all possible couples (a, b) of scalars. C EDRIC C HAUVE , FALL 2013 2 MATH 895-4 Fall 2010 Course Schedule f a cu lty of science d epa r tm ent of m athema tic s Week Date Sections 1 Sept 7 I.1, I.2, I.3 2 14 I.4, I.5, I.6 3 21 II.1, II.2, II.3 4 28 II.4, II.5, II.6 5 Oct 5 III.1, III.2 6 12 IV.1, IV.2 8 26 9 Nov 2 Part/...
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