One of the sources of error in the RMSFE in the AR(1) model is: a. due to measuring variables in logarithms. b. the model only looks at the previous period's value of Y when the entire history should be taken into account. c. the error in estimating the intercept and slope coefficients. d. that the value of the explanatory variable is not known with certainty when making a forecast.
Question
One of the sources of error in the RMSFE in the AR(1) model is:
a. due to measuring variables in logarithms.
b. the model only looks at the previous period's value of Y when the entire history should be taken into account.
c. the error in estimating the intercept and slope coefficients.
d. that the value of the explanatory variable is not known with certainty when making a forecast.
Solution
The AR(1) model, or Autoregressive model of order 1, is a simple time series model that uses the previous period's value of the dependent variable to predict the current period's value.
a. Measuring variables in logarithms is not a source of error in the RMSFE (Root Mean Square Forecast Error) in the AR(1) model. It is a transformation often used to stabilize the variance of a series or to make a series more closely follow a normal distribution.
b. The AR(1) model only looks at the previous period's value of Y when the entire history should be taken into account. This is a limitation of the AR(1) model, but it is not a source of error in the RMSFE. The model is designed to only use one lagged value as a predictor.
c. The error in estimating the intercept and slope coefficients can indeed contribute to the RMSFE in the AR(1) model. If these parameters are not accurately estimated, the model's forecasts will be off, leading to a larger RMSFE.
d. The uncertainty about the value of the explanatory variable when making a forecast is not a source of error in the RMSFE in the AR(1) model. In this model, the explanatory variable is the lagged value of the dependent variable, which is known at the time of forecasting.
So, the correct answer is c. The error in estimating the intercept and slope coefficients.
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