Asked by Shane Cornfield on Jun 25, 2024

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In the first-order autoregressive model Yi = a0 + a1Yi-1+ i,identify the nonautocorrelated random error term.

A) a0
B) i
C) a1
D) Yi-1

First-Order Autoregressive Model

A time series model where the current value is based on a linear combination of the previous value and a stochastic error term.

Nonautocorrelated Random Error

Errors in a dataset that occur randomly and are not correlated with each other, indicating no predictable pattern in the fluctuations.

Autoregressive Model

An Autoregressive Model is a statistical model for analyzing and forecasting time series data, where future values are assumed to be a linear function of past values.

  • Knowledge of autoregressive models and their use in time series analysis.
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Verified Answer

AN
Aline NyanomeJun 30, 2024
Final Answer :
B
Explanation :
In the autoregressive model, the nonautocorrelated random error term is represented by the residual term, which is the difference between the observed value and the predicted value. In the given model, i is the predicted value, and the only term that is not part of this prediction is the residual term i - Yi-1, which is equivalent to B in the model. The other terms represent the relationship between the observed and predicted values and are not the residual term.