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Reading 13: Time-Series Analysis - LOS d, (Part 1) ~ Q1-3

Q1. An analyst wants to model quarterly sales data using an autoregressive model. She has found that an AR(1) model with a seasonal lag has significant slope coefficients. She also finds that when the second and third lags are added to the model, all slope coefficients are significant too. Based on this, the best model to use would most likely be an:

A)   AR(1).

B)   AR(4).

C)   AR(2).

Q2. The model xt = b0 + b1 xt-1 + b2 xt-2 + b3 xt-3 + b4 xt-4 + εt is:

A)     an autoregressive conditional heteroskedastic model, ARCH.

B)     an autoregressive model, AR(4).

C)     a moving average model, MA(4).

Q3. The model xt = b0 + b1 xt − 1 + b2 xt − 2  + εt is:

A)     an autoregressive conditional heteroskedastic model, ARCH.

B)     an autoregressive model, AR(2).

C)     a moving average model, MA(2).

答案和详解如下:

Q1. An analyst wants to model quarterly sales data using an autoregressive model. She has found that an AR(1) model with a seasonal lag has significant slope coefficients. She also finds that when the second and third lags are added to the model, all slope coefficients are significant too. Based on this, the best model to use would most likely be an:

A)   AR(1).

B)   AR(4).

C)   AR(2).

Correct answer is B)

She has found that all the slope coefficients are significant in the model xt = b0 + b1xt–1 + b2xt–4 + et. She then finds that all the slope coefficients are significant in the model xt = b0 + b1xt–1 + b2xt–2 + b3xt–3 + b4xt–4 + et. Thus, the second model, the AR(4), should be used over the first or any other model that uses a subset of the regressors.

Q2. The model xt = b0 + b1 xt-1 + b2 xt-2 + b3 xt-3 + b4 xt-4 + εt is:

A)     an autoregressive conditional heteroskedastic model, ARCH.

B)     an autoregressive model, AR(4).

C)     a moving average model, MA(4).

Correct answer is B)

This is an autoregressive model (i.e., lagged dependent variable as independent variables) of order p=4 (that is, 4 lags).

Q3. The model xt = b0 + b1 xt − 1 + b2 xt − 2  + εt is:

A)     an autoregressive conditional heteroskedastic model, ARCH.

B)     an autoregressive model, AR(2).

C)     a moving average model, MA(2).

Correct answer is B)

This is an autoregressive model (i.e., lagged dependent variable as independent variables) of order p = 2 (that is, 2 lags).

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[em02]

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 a

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thanks

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