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
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Chapter2: Second-order Linear Odes
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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)}.
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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