2. Calculate the following quantities using least-squares (give coefficients to three decimal places): (a) The least-squares solution to the inconsistent system x+3y=9, 3x+y=5, z + y = 2. (b) The least-squares line y = mx + b approximating the points {(4,7), (11,21). (15,29), (19,35), (30,49)}. (c) The least-squares quadratic y = ar²+bx+c approximating the points {(-2,22), (-1,11), (0,4), (1,3), (2, 13)}.
2. Calculate the following quantities using least-squares (give coefficients to three decimal places): (a) The least-squares solution to the inconsistent system x+3y=9, 3x+y=5, z + y = 2. (b) The least-squares line y = mx + b approximating the points {(4,7), (11,21). (15,29), (19,35), (30,49)}. (c) The least-squares quadratic y = ar²+bx+c approximating the points {(-2,22), (-1,11), (0,4), (1,3), (2, 13)}.
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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![2. Calculate the following quantities using least-squares (give coefficients to three decimal places):
(a) The least-squares solution to the inconsistent system x+3y=9, 3r+ y = 5, x+y=2.
(b) The least-squares line y = mx +b approximating the points {(4,7), (11, 21), (15,29), (19,35), (30,49)}.
(c) The least-squares quadratic y = ar²+bx+c approximating the points {(-2,22), (-1,11), (0,4), (1,3), (2, 13)}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52872cac-4b45-467b-aca1-adaa6c0e02cd%2Fad9dfd55-bfa3-4d16-a92a-dd8d8b229b86%2F0wtf52w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Calculate the following quantities using least-squares (give coefficients to three decimal places):
(a) The least-squares solution to the inconsistent system x+3y=9, 3r+ y = 5, x+y=2.
(b) The least-squares line y = mx +b approximating the points {(4,7), (11, 21), (15,29), (19,35), (30,49)}.
(c) The least-squares quadratic y = ar²+bx+c approximating the points {(-2,22), (-1,11), (0,4), (1,3), (2, 13)}.
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