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V. Suppose that {u̟ : t =T}is a time series of independent observations with mean zero and common variance σ2= 4. Suppose further that {x: t =T} is a time series satisfying: a) b) c) d) X+= 0.6 X+-1 + U + 0.1 U-1 - 0.2 Ut-2 +5. Find the mean value, µ = E(x), of the time series. Compute σ(h), the autocovariance function and p(h), the autocorrelation function of the process. Plot their graphs. If X100=10.0 would you expect X102 to be above or below the mean of the process? Find the values of ẞ11, B22 and ẞ33 - the values of the partial autocorrelation function (PAFC) at lags 1, 2 and 3 respectively.

V. Suppose that {u̟ : t =T}is a time series of independent observations with mean zero and common variance σ2= 4. Suppose further that {x: t =T} is a time series satisfying: a) b) c) d) X+= 0.6 X+-1 + U + 0.1 U-1 - 0.2 Ut-2 +5. Find the mean value, µ = E(x), of the time series. Compute σ(h), the autocovariance function and p(h), the autocorrelation function of the process. Plot their graphs. If X100=10.0 would you expect X102 to be above or below the mean of the process? Find the values of ẞ11, B22 and ẞ33 - the values of the partial autocorrelation function (PAFC) at lags 1, 2 and 3 respectively.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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V. Suppose that {u̟ : t =T}is a time series of independent observations with mean zero and common variance σ2= 4. Suppose further that {x: t =T} is a time series satisfying: a) b) c) d) X+= 0.6 X+-1 + U + 0.1 U-1 - 0.2 Ut-2 +5. Find the mean value, µ = E(x), of the time series. Compute σ(h), the autocovariance function and p(h), the autocorrelation function of the process. Plot their graphs. If X100=10.0 would you expect X102 to be above or below the mean of the process? Find the values of ẞ11, B22 and ẞ33 - the values of the partial autocorrelation function (PAFC) at lags 1, 2 and 3 respectively.
Transcribed Image Text:V. Suppose that {u̟ : t =T}is a time series of independent observations with mean zero and common variance σ2= 4. Suppose further that {x: t =T} is a time series satisfying: a) b) c) d) X+= 0.6 X+-1 + U + 0.1 U-1 - 0.2 Ut-2 +5. Find the mean value, µ = E(x), of the time series. Compute σ(h), the autocovariance function and p(h), the autocorrelation function of the process. Plot their graphs. If X100=10.0 would you expect X102 to be above or below the mean of the process? Find the values of ẞ11, B22 and ẞ33 - the values of the partial autocorrelation function (PAFC) at lags 1, 2 and 3 respectively.
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