Q1. Which of the following statements regarding an out-of-sample forecast is least accurate? A) There is more error associated with out-of-sample forecasts, as compared to in-sample forecasts. B) Out-of-sample forecasts are of more importance than in-sample forecasts to the analyst using an estimated time-series model. C) Forecasting is not possible for autoregressive models with more than two lags.
Q2. Frank Batchelder and Miriam Yenkin are analysts for Bishop Econometrics. Batchelder and Yenkin are discussing the models they use to forecast changes in China’s GDP and how they can compare the forecasting accuracy of each model. Batchelder states, “The root mean squared error (RMSE) criterion is typically used to evaluate the in-sample forecast accuracy of autoregressive models.” Yenkin replies, “If we use the RMSE criterion, the model with the largest RMSE is the one we should judge as the most accurate.” With regard to their statements about using the RMSE criterion: A) Batchelder is correct; Yenkin is incorrect. B) Batchelder is incorrect; Yenkin is incorrect. C) Batchelder is incorrect; Yenkin is correct.
Q3. William Zox, an analyst for Opal Mountain Capital Management, uses two different models to forecast changes in the inflation rate in the United Kingdom. Both models were constructed using U.K. inflation data from 1988-2002. In order to compare the forecasting accuracy of the models, Zox collected actual U.K. inflation data from 2004-2005, and compared the actual data to what each model predicted. The first model is an AR(1) model that was found to have an average squared error of 10.429 over the 12 month period. The second model is an AR(2) model that was found to have an average squared error of 11.642 over the 12 month period. Zox then computed the root mean squared error for each model to use as a basis of comparison. Based on the results of his analysis, which model should Zox conclude is the most accurate? A) Model 1 because it has an RMSE of 3.23. B) Model 2 because it has an RMSE of 3.41. C) Model 1 because it has an RMSE of 5.21.
Q4. Consider the estimated AR(2) model, xt = 2.5 + 3.0 xt-1 + 1.5 xt-2 + εt t=1,2,…50. Making a prediction for values of x for 1 ≤ t ≤ 50 is referred to as: A) an in-sample forecast. B) an out-of-sample forecast. C) requires more information to answer the question.
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