Exam 18: Advanced Time Series Topics

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In case of forecasts, the root mean squared error is the:

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Let {(yt, zt): t = …, −2,−1, 0, 1, 2, …} be a bivariate time series process. The model: yt = Let {(y<sub>t</sub>, z<sub>t</sub>): t = …, −2,−1, 0, 1, 2, …} be a bivariate time series process. The model: y<sub>t</sub> =   +   <sub>0​</sub>z<sub>t</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +   <sub>2</sub>z<sub>t -</sub> <sub>2</sub> + ….. + u<sub>t</sub>, where t = …..,−2,−1,0,1,2,……, represents a(n): + Let {(y<sub>t</sub>, z<sub>t</sub>): t = …, −2,−1, 0, 1, 2, …} be a bivariate time series process. The model: y<sub>t</sub> =   +   <sub>0​</sub>z<sub>t</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +   <sub>2</sub>z<sub>t -</sub> <sub>2</sub> + ….. + u<sub>t</sub>, where t = …..,−2,−1,0,1,2,……, represents a(n): 0​zt + Let {(y<sub>t</sub>, z<sub>t</sub>): t = …, −2,−1, 0, 1, 2, …} be a bivariate time series process. The model: y<sub>t</sub> =   +   <sub>0​</sub>z<sub>t</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +   <sub>2</sub>z<sub>t -</sub> <sub>2</sub> + ….. + u<sub>t</sub>, where t = …..,−2,−1,0,1,2,……, represents a(n): 1zt - 1 + Let {(y<sub>t</sub>, z<sub>t</sub>): t = …, −2,−1, 0, 1, 2, …} be a bivariate time series process. The model: y<sub>t</sub> =   +   <sub>0​</sub>z<sub>t</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +   <sub>2</sub>z<sub>t -</sub> <sub>2</sub> + ….. + u<sub>t</sub>, where t = …..,−2,−1,0,1,2,……, represents a(n): 2zt - 2 + ….. + ut, where t = …..,−2,−1,0,1,2,……, represents a(n):

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The model: yt = The model: y<sub>t</sub> =   <sub>0</sub> +   <sub>0</sub>z<sub>t</sub> +   yt -<sub> 1</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +v<sub>t</sub>, where v<sub>t</sub> = u<sub>t</sub> -   u<sub>t -</sub> <sub>1</sub> represents a: 0 + The model: y<sub>t</sub> =   <sub>0</sub> +   <sub>0</sub>z<sub>t</sub> +   yt -<sub> 1</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +v<sub>t</sub>, where v<sub>t</sub> = u<sub>t</sub> -   u<sub>t -</sub> <sub>1</sub> represents a: 0zt + The model: y<sub>t</sub> =   <sub>0</sub> +   <sub>0</sub>z<sub>t</sub> +   yt -<sub> 1</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +v<sub>t</sub>, where v<sub>t</sub> = u<sub>t</sub> -   u<sub>t -</sub> <sub>1</sub> represents a: yt - 1 + The model: y<sub>t</sub> =   <sub>0</sub> +   <sub>0</sub>z<sub>t</sub> +   yt -<sub> 1</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +v<sub>t</sub>, where v<sub>t</sub> = u<sub>t</sub> -   u<sub>t -</sub> <sub>1</sub> represents a: 1zt - 1 +vt, where vt = ut - The model: y<sub>t</sub> =   <sub>0</sub> +   <sub>0</sub>z<sub>t</sub> +   yt -<sub> 1</sub> +   <sub>1</sub>z<sub>t -</sub> <sub>1</sub> +v<sub>t</sub>, where v<sub>t</sub> = u<sub>t</sub> -   u<sub>t -</sub> <sub>1</sub> represents a: ut - 1 represents a:

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Which of the following statements is true of spurious regressions?

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The Koyck distributed lag model is an example of:

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