Certain experimental values of x and y are given below (0, –1). (2, 5), (5, 12), (7, 20). If the straight line y=a,+ a,x is fitted to the above data, find the approximate value of aOA a, =1.1381O B.a, = -2.8966Oc a, =-1.1381O D.4, =2.8966

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Answered: Certain experimental values of x and y…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A manager wishes to determine the relationship between the distance (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month. Find the standard error of estimate, Se given that ý = 3.5x + 31.388889 %3D 15 8 Miles Travele1,r Sales, y 13 11 10 3 14 76 68 65 42 38 84 82 63 48 E= 81; y = 566 a² = 913; y² = 37886 2 xy = 5738 OS, = 2.025 S = 2.296 OS. = 1.895 Se = 1.735 S. = 2.446
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QUESTION 2 Let f-1, fo, and f₁ denote the Lagrange polynomials associated with -1,0, and 1 respectively. (2.1) Find f1, fo, and f₁ and express each one in standard polynomial form, that is, a + bx + cx² where a, b, and c are real numbers. (2.2) Show that f₁(-x) = f(x) and f-1(-x) = f(x). (2.3) Show that fo and f1 + f₁ are even. (2.4) Show f = P₂(R) is even if and only if f = span{fo, f₁ + f₁}.

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Certain experimental values of x and y are given below (0, -1). (2, 5), (5, 12), (7, 20). If the straight line y=a,+ a x is fitted to the above data, find the approximate value of a, OA4,=1.1381 O B.a, =-2.8966 Oc.a, =-1.1381 O D.a, =2.8966