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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Show the mathematic model of direct observations to find a true value,u. Consider any systematic errors and biases were already removed, and the random errors of observations follow 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-target function 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 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.
Transcribed Image Text:1. Show the mathematic model of direct observations to find a true value,u. Consider any systematic errors and biases were already removed, and the random errors of observations follow 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-target function 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 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.
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