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The table below includes the first eight residual autocorrelations from fitting the first differenced time series of the absenteeism rates (ABS) at a manufacturing firm with the model ΔABSt = b0 + b1ΔABSt-1 + εt. Based on the results in the table, which of the following statements most accurately describes the appropriateness of the specification of the model, ΔABSt = b0 + b1ΔABSt-1 + εt?

Lagged Autocorrelations of the Residuals of the First Differences in Absenteeism Rates

Lag

Autocorrelation

Standard Error

t-Statistic

1

−0.0738

0.1667

−0.44271

2

−0.1047

0.1667

−0.62807

3

−0.0252

0.1667

−0.15117

4

−0.0157

0.1667

−0.09418

5

−0.1262

0.1667

−0.75705

6

0.0768

0.1667

0.46071

7

0.0038

0.1667

0.02280

8

−0.0188

0.1667

−0.11278


A. The negative values for the autocorrelations indicate that the model does not fit the time series.
B. The Durbin-Watson statistic is needed to determine the presence of significant correlation of the residuals.
C. The low values for the t-statistics indicate that the model fits the time series.
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