Consider the data set shown:InputOutput3A =79651100008-18To find a quadratic function y = px² + qx + r that best approximates this data, where is the input andy is the output, we can minimize || Ax - b||, where910-57 -88and b=000.0

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Consider the data set shown: Input 3 Output 79 6 8 51 -18 A = 9 10 -57 -88 To find a quadratic function y = px² + q + r that best approximates this data, where x is the input and y is the output, we can minimize || Ax - b||, where and b = 00000

Consider the data set shown: Input 3 Output 79 6 8 51 -18 A = 9 10 -57 -88 To find a quadratic function y = px² + q + r that best approximates this data, where x is the input and y is the output, we can minimize || Ax - b||, where and b = 00000

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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Question

Consider the data set shown:
Input
Output
3
A =
79
6
51
10000
8
-18
To find a quadratic function y = px² + qx + r that best approximates this data, where is the input and
y is the output, we can minimize || Ax - b||, where
9
10
-57 -88
and b
=
000.0

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Follow-up Questions

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Follow-up Question

The best-fit quadratic is y
(round your coefficients to 2 decimal places)

Solution

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Follow-up Question

To find a quadratic function y = px² + qx + r that best approximates this data, where x is the input and
y is the output, we can minimize || Ax - b||, where
A =
Evaluate:
ATA =
9
36
64
81
100
00
3
6
8
9
10
1
1
1
1
1
and b =
and Ab
=
79
51
-18
-57
-88
Part 2 of 3

Solution

by Bartleby Expert

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