Question 3 1. Show the mathematic model of direct observations to find a true value,u. Consider anysystematic errors and biases were already removed, and the random errors of observationsfollow the normal distribution. Make sure each observation has a different weight.2. For your math model in Q1, find the least squares solution for u by introducing Lagrange-targetfunction and Euler-Lagrange necessary conditions. Also, provide the dispersion of A.A distance is measured six times. The observed values are 572.182m, 572.140m, 572.103m,572.160m, 572.125m and 572.155m. All measurements are uncorrelated and their standarddeviations are 0.030m, 0.030m, 0.030m, 0.020m, 0.020m, 0.010m, respectively. Find the lastsquares estimate for the distance.3.

Name: Question 3 1. Show the mathematic model of direct observations to find
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Description: Question 3 1. Show the mathematic model of direct observations to find a true value,u. Consider anysystematic errors and biases were already removed, and the random errors of observationsfollow the normal distribution. Make sure each observation has

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3. A distance is measured six times. The observed values are 572.182m, 572.140m, 572.103m, 572.160m, 572.125m and 572.155m. All measurements are uncorrelated and their standard deviations are 0.030m, 0.030m, 0.030m, 0.020m, 0.020m, 0.010m, respectively. Find the last squares estimate for the distance.

3. A distance is measured six times. The observed values are 572.182m, 572.140m, 572.103m, 572.160m, 572.125m and 572.155m. All measurements are uncorrelated and their standard deviations are 0.030m, 0.030m, 0.030m, 0.020m, 0.020m, 0.010m, respectively. Find the last squares estimate for the distance.

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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