Answered: V2 2 V2 v2 v2 V2 Let Q = 20 ㅇ R = 1 -1… | bartleby

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 21CM

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Question

V2
V2
V2
V2
20
Let Q =
2
R =
1
-1 |, b =
,and
1
1
7
1
let A =
QR. You are given that the equation Ax = b is inconsistent.
Use the given QR-factorization of A to find a least-squares solution of the
r
equation Ax
= b. If the least-squares solution that you find is
S
then the
t
value of r is

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Determine the least squares solution to Ax = b, where
In Exercise, a QRfactorization of A is given. Use it to find a least squares solution of Ax = b.
A QR factorization of A is given. Use it to find a least squares solution of Ax = b
Based on a sample of n=25, the least-squares method was used to develop the prediction line Yi=8+3Xi. In addition, SYX=2.5, X=7, and ∑i=1nXi−X2=25. b. Construct a 90% prediction interval of an individual response for X=5. enter your response here≤YX=5≤enter your response here (Round to two decimal places as needed.)
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