Asked by Mbambo Siyabonga on Jun 29, 2024

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If the value of the Durbin-Watson test statistic,d,satisfies the inequalities d < dL or d > 4 −dL,where dL and dU are the critical values of d,we conclude that autocorrelation exists.

Critical Values

Specific points on the scale of a test statistic beyond which we reject the null hypothesis in hypothesis testing.

Autocorrelation

The correlation of a signal with a delayed copy of itself, often used to analyze functions or series of values, like time series data.

Test Statistic

A value, derived from sample data, used in a hypothesis test to determine whether to reject the null hypothesis.

  • Understand and apply the Durbin-Watson test for detecting autocorrelation in regression analysis.
  • Compute critical scores for statistical examinations and decipher their significance.
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CG
Christian GomezJun 30, 2024
Final Answer :
True
Explanation :
The statement is true. The Durbin-Watson test statistic measures the presence of autocorrelation in the residuals of a regression analysis. The critical values of the test statistic depend on the sample size and the number of independent variables in the regression model. If the calculated value of the test statistic falls below the lower critical value or above the upper critical value, we reject the null hypothesis of no autocorrelation and conclude that autocorrelation exists.