Exam 17: Time Series Forecasting and Index Numbers

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Use the following price information for three grains. Use the following price information for three grains.    Calculate the Paasche index. Calculate the Paasche index.

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Seasonal variations are periodic patterns in a time series that must last at least one year.

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In a given week, the NYSE (New York Stock Exchange) is generally open from Monday through Friday. If we wanted to use the multiple regression method with dummy variables to study the impact of the day of the week on stock market performance, we would need ________ dummy variables.

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In the multiplicative decomposition method, the centered moving averages provide an estimate of

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Given the following data, compute the mean squared error (deviation). Given the following data, compute the mean squared error (deviation).

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When a forecaster uses the ________ method, she or he assumes that the time series components are changing slowly over time.

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The recurring up-and-down movement of a time series around trend levels that last more than one calendar year is called ________.

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The demand for a product for the last six years has been 15, 15, 17, 18, 20, and 19. The manager wants to predict the demand for this time series using the following simple linear trend equation: trt = 12 + 2t. Use this equation to forecast the demand for this product, and then calculate the MSD.

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XYZ Company, Annual Data XYZ Company, Annual Data   Based on the information given in the table above, what is the MSD? Based on the information given in the table above, what is the MSD?

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In the Durbin-Watson test, if the calculated d-statistic is greater than the upper value of the d-statistic, then

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Consider a time series with 15 quarterly sales observations. Using the quadratic trend model, the following partial computer output was obtained. Consider a time series with 15 quarterly sales observations. Using the quadratic trend model, the following partial computer output was obtained.    State the two-sided null and alternative hypotheses to test the significance of the t<sup>2</sup> term. State the two-sided null and alternative hypotheses to test the significance of the t2 term.

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When deseasonalizing a time series observation, the actual time series observation is divided by its seasonal factor.

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Listed below are the prices of a pair of men's boots over a 50-year time period. Listed below are the prices of a pair of men's boots over a 50-year time period.    Find the simple index numbers for the data with 1950 as the base year. Find the simple index numbers for the data with 1950 as the base year.

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Consider the quarterly production data (in thousands of units) for the XYZ manufacturing company below. The normalized (adjusted) seasonal factors are winter = .9982, spring = .9263, summer = 1.139, and fall = .9365. Consider the quarterly production data (in thousands of units) for the XYZ manufacturing company below. The normalized (adjusted) seasonal factors are winter = .9982, spring = .9263, summer = 1.139, and fall = .9365.    Based on the following deseasonalized observations (d<sub>t</sub>), a trend line was estimated. The linear regression trend equation is tr<sub>t</sub> = 10.1 + 1.91t. Use the forecasting equation   <sub>t</sub> = tr<sub>1</sub> × sn<sub>t</sub> and calculate the forecasted demand for the fall quarter of 1998 and summer quarter of 2000. Based on the following deseasonalized observations (dt), a trend line was estimated. The linear regression trend equation is trt = 10.1 + 1.91t. Use the forecasting equation Consider the quarterly production data (in thousands of units) for the XYZ manufacturing company below. The normalized (adjusted) seasonal factors are winter = .9982, spring = .9263, summer = 1.139, and fall = .9365.    Based on the following deseasonalized observations (d<sub>t</sub>), a trend line was estimated. The linear regression trend equation is tr<sub>t</sub> = 10.1 + 1.91t. Use the forecasting equation   <sub>t</sub> = tr<sub>1</sub> × sn<sub>t</sub> and calculate the forecasted demand for the fall quarter of 1998 and summer quarter of 2000. t = tr1 × snt and calculate the forecasted demand for the fall quarter of 1998 and summer quarter of 2000.

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The Consumer Price Index and the Producer Price Index are both calculated using the ________ index formula.

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If the errors produced by a forecasting method for 3 observations are +3, +3, and −3, then what is the mean absolute deviation?

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Box-Jenkins methodology is a more sophisticated approach to forecasting a time series with components that might be changing over time.

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Which of the following time series forecasting methods would not be used to forecast seasonal data?

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Consider the quarterly production data (in thousands of units) for the XYZ manufacturing company below. Consider the quarterly production data (in thousands of units) for the XYZ manufacturing company below.    Calculate the ratio of actual production to the centered moving average values (sn<sub>t</sub> × ir<sub>t</sub>) for the entire time series. Calculate the ratio of actual production to the centered moving average values (snt × irt) for the entire time series.

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Consider the following data. Consider the following data.    Calculate S<sub>3</sub> using simple exponential smoothing if S<sub>1</sub> = 18.6 and α = .2. Calculate S3 using simple exponential smoothing if S1 = 18.6 and α = .2.

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