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Consider the following time series for a simple Moving Average Model, Yt = −2+ € + 0.5€t-1 • In the above, Et is considered white noise, i.e., normally-distributed with mean = 0 and variance = 4. a. Find the mean function of the time series. b. Find the variance of the time series. c. Find the lag=0 autocorrelation of the time series. d. Find lag-2 autocorrelation for this time series. e. Is the time series stationary?

Consider the following time series for a simple Moving Average Model, Yt = −2+ € + 0.5€t-1 • In the above, Et is considered white noise, i.e., normally-distributed with mean = 0 and variance = 4. a. Find the mean function of the time series. b. Find the variance of the time series. c. Find the lag=0 autocorrelation of the time series. d. Find lag-2 autocorrelation for this time series. e. Is the time series stationary?

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Consider the following time series for a simple Moving Average Model, Yt = −2+ € + 0.5€t-1 • In the above, Et is considered white noise, i.e., normally-distributed with mean = 0 and variance = 4. a. Find the mean function of the time series. b. Find the variance of the time series. c. Find the lag=0 autocorrelation of the time series. d. Find lag-2 autocorrelation for this time series. e. Is the time series stationary?
Transcribed Image Text:Consider the following time series for a simple Moving Average Model, Yt = −2+ € + 0.5€t-1 • In the above, Et is considered white noise, i.e., normally-distributed with mean = 0 and variance = 4. a. Find the mean function of the time series. b. Find the variance of the time series. c. Find the lag=0 autocorrelation of the time series. d. Find lag-2 autocorrelation for this time series. e. Is the time series stationary?
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