Problem 1. Consider a battery with a completely unknown voltage (P, = 00). Two independent measurements of the voltage are taken to estimate the voltage, the first with a variance of 4, %3D and the second with a variance of 1. a. Write the weighted least squares voltage estimate in terms of the two measurements zi and

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 31EQ
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Problem 1.
Consider a battery with a completely unknown voltage (Po = c0). Two independent
measurements of the voltage are taken to estimate the voltage, the first with a variance of 4,
and the second with a variance of 1.
a. Write the weighted least squares voltage estimate in terms of the two measurements z1 and
2.
Transcribed Image Text:Problem 1. Consider a battery with a completely unknown voltage (Po = c0). Two independent measurements of the voltage are taken to estimate the voltage, the first with a variance of 4, and the second with a variance of 1. a. Write the weighted least squares voltage estimate in terms of the two measurements z1 and 2.
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