Suppose that the Leontief input-output coefficient matrix is [0.1 0.4] A = - 0-2 0-5] and the final demand vector is Find the total direct and indirect requirement of the second input to satisfy the final demand. Show that in the regression model Y; =a +BX; +U;; i=1, 2, , n, the covariance between the regressor and the error term is zero under ordinary least squares method of estimation.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 23EQ
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Suppose that the Leontief input-output coefficient matrix is
[0.1 0.4]
A =
- 0-2 0-5]
and the final demand vector is
Find the total direct and indirect
requirement of the second input to satisfy the final demand.
Show that in the regression model Y; a+BX; +U;; i 1, 2, , n, the
covariance between the regressor and the error term is zero under ordinary
least squares method of estimation.
Transcribed Image Text:Suppose that the Leontief input-output coefficient matrix is [0.1 0.4] A = - 0-2 0-5] and the final demand vector is Find the total direct and indirect requirement of the second input to satisfy the final demand. Show that in the regression model Y; a+BX; +U;; i 1, 2, , n, the covariance between the regressor and the error term is zero under ordinary least squares method of estimation.
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