2. Suppose that Yt follows the stationary AR (1) model Yt=2.5+0.7Yt−1+ϵt, where ϵt is i.i.d. with E(ϵt)=0 and Var(ϵt)=9. a) Compute the mean and variance of Yt b) Compute the first two autocovariances of Yt c) Compute the first two autocorrelations of Yt d) Suppose that YT=102.3. Compute Yt+1|t=E(Yt+1|Yt, Yt-1...).
2. Suppose that Yt follows the stationary AR (1) model Yt=2.5+0.7Yt−1+ϵt, where ϵt is i.i.d. with E(ϵt)=0 and Var(ϵt)=9. a) Compute the mean and variance of Yt b) Compute the first two autocovariances of Yt c) Compute the first two autocorrelations of Yt d) Suppose that YT=102.3. Compute Yt+1|t=E(Yt+1|Yt, Yt-1...).
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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2. Suppose that Yt follows the stationary AR (1) model Yt=2.5+0.7Yt−1+ϵt, where ϵt is i.i.d. with E(ϵt)=0 and Var(ϵt)=9.
a) Compute the mean and variance of Yt
b) Compute the first two autocovariances of Yt
c) Compute the first two autocorrelations of Yt
d) Suppose that YT=102.3. Compute Yt+1|t=E(Yt+1|Yt, Yt-1...).
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