11. 11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flowthat are subject to errors with zero mean and a common variance. The random variables X,Y andZ denotes the observed readings respectively for these meters while the true (unknown) readings are01, 62 and 63 respectively with 03 = (01 + 02). ThusE(X1) = 01, E(X2) = 02 E(X3) :Xx) = }(61 + 02), withOver the period when it is believed that 6, and 62 have not changed; n readings of X, n readingsof Y and n readings of Z were taken. They were (r1,12, ..., 1n), (y1, 42, -- n) and (21, 2, ..., zn) andmay be assumed to be independent. Determine the least squares estimators of 61, 62 and 63.Var(X1) = Var(X2) = Var(X3) = o².

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11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flow that are subject to errors with zero mean and a common variance. The random variables X, Y and Z denotes the observed readings respectively for these meters while the true (unknown) readings are 61, 62 and 63 respectively with 63 = (0 + 02). Thus %3D E(X1) = 61, E(X2) = 62 E(X3) =;(61 + 62) , with Over the period when it is believed that 61 and 62 have not changed; n readings of X, n readings of Y and n readings of Z were taken. They were (1, 12, .-. In), (yı, 42; ---- Yn) and (z1, 2, --- zm) and may be assumed to be independent. Determine the least squares estimators of 61, 62 and 03. Var(X1) = Var(X2) = Var(X3) = o².

11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flow that are subject to errors with zero mean and a common variance. The random variables X, Y and Z denotes the observed readings respectively for these meters while the true (unknown) readings are 61, 62 and 63 respectively with 63 = (0 + 02). Thus %3D E(X1) = 61, E(X2) = 62 E(X3) =;(61 + 62) , with Over the period when it is believed that 61 and 62 have not changed; n readings of X, n readings of Y and n readings of Z were taken. They were (1, 12, .-. In), (yı, 42; ---- Yn) and (z1, 2, --- zm) and may be assumed to be independent. Determine the least squares estimators of 61, 62 and 03. Var(X1) = Var(X2) = Var(X3) = o².

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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11. 11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flow
that are subject to errors with zero mean and a common variance. The random variables X,Y and
Z denotes the observed readings respectively for these meters while the true (unknown) readings are
01, 62 and 63 respectively with 03 = (01 + 02). Thus
E(X1) = 01, E(X2) = 02 E(X3) :
Xx) = }(61 + 02)
, with
Over the period when it is believed that 6, and 62 have not changed; n readings of X, n readings
of Y and n readings of Z were taken. They were (r1,12, ..., 1n), (y1, 42, -- n) and (21, 2, ..., zn) and
may be assumed to be independent. Determine the least squares estimators of 61, 62 and 63.
Var(X1) = Var(X2) = Var(X3) = o².

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