Posted by **Yadira M** on Monday, August 17, 2009 at 5:09pm.

A regression model has 2 independent variables and 16 observations, and the calculated Durbin-Watson d statistic is 2.78. What, if any, conclusion will be reached in testing for autocorrelation of the residuals with a:

a. two-tail test at the 0.05 level of significance?

b. Test the negative autocorrelation at the 0.01 level?

- statistics -
**MathMate**, Tuesday, August 18, 2009 at 8:43am
Data:

2 independent variables (k=2)

16 observations

Durbin-Watson statistic = 2.78 (possible negative correlation)

Null Hypothesis: No autocorrelation exists in the residuals.

a. At the 0.05 level of significance for k=2 and 16 observations, DL=0.982, DU=1.539 for positive correlation. Complement of the Durbin-Watson statistic is 4-2.78=1.22.

Since 1.22 is about half-way between DL and DU, the Durbin-Watson test is inconclusive at the 5% level of significance, and the null hypothesis is not rejected. (i.e. absence of negative autocorrelation is not confirmed)

b. At the 0.01 level for k=2 and 16 observations, DL=0.738 and DU=1.253.

Since 1.22 is just slightly below the DU value of 1.253, we conclude that the null hypothesis is not rejected. (i.e. absence of negative autocorrelation)

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