For numbers 6 – 10: Using least squares approximation, let us find the linear and quadratic interpolating polynomial of Vã with x, = 0 ,x2 =1,x3 = 2,x4 = 3, and x; = 4 6. If y = ax + b is the linear interpolating polynomial, then one of the linear equations to find a and b is? (a) 6.146 = 10a + 5b (b) 7.345 = 10a + 4b (c) 5.239 = 8a + 5b (d) 5.024 = 6a + 4b

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 58EQ
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For numbers 6 – 10: Using least squares approximation, let us find the linear and
quadratic interpolating polynomial of Vĩ with x, = 0,x2 =1,x3 = 2,x4 =
3, and xs = 4
6. If y = ax + b is the linear interpolating polynomial, then one of the linear
equations to find a and b is?
(a) 6.146 = 10a + 5b
(b) 7.345 = 10a + 4b
(c) 5.239 = 8a + 5b
(d) 5.024 = 6a + 4b
%3D
Transcribed Image Text:For numbers 6 – 10: Using least squares approximation, let us find the linear and quadratic interpolating polynomial of Vĩ with x, = 0,x2 =1,x3 = 2,x4 = 3, and xs = 4 6. If y = ax + b is the linear interpolating polynomial, then one of the linear equations to find a and b is? (a) 6.146 = 10a + 5b (b) 7.345 = 10a + 4b (c) 5.239 = 8a + 5b (d) 5.024 = 6a + 4b %3D
8. If y = ax? + bx + c is the quadratic interpolating polynomial, then one of the
linear equations to find a, b, and c is?
(a) 6.146 = 100a + 10b + 5c
(b) 17.025 = 100a + 32b + 10c
(c) 6.146 = 30a + 30b + 5c
(d) 54.245 = 354a + 100b + 30c
Transcribed Image Text:8. If y = ax? + bx + c is the quadratic interpolating polynomial, then one of the linear equations to find a, b, and c is? (a) 6.146 = 100a + 10b + 5c (b) 17.025 = 100a + 32b + 10c (c) 6.146 = 30a + 30b + 5c (d) 54.245 = 354a + 100b + 30c
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