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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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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