The results for the regression are as follows   Coefficients Standard Error T stat     Intercept 14.63 0.5226 27.995     financial crisis 13.71 1.0610 12.922     COVID-19 crisis 15.71 1.6643 9.439     transition 5.40 1.1835 4.563        In estimating the regression found above, you are concerned that the t-statistics may be inflated because of serial correlation. You compute the DW statistic at 0.724 for the regression Based on the DW, what can you say about serial correlation between the residuals? Are they positively or negatively correlated? Or not correlated? Compute the sample correlation between the regression residuals from one period and those from the previous period. Perform a statistical test at the level to see if there is serial correlation. If you are using the table in the textbook, assume that the critical values of the DW statistic for 214 observations are about 0.11 higher than the critical values for 100 observations.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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  1. The results for the regression are as follows

 

Coefficients

Standard Error

T stat

 

 

Intercept

14.63

0.5226

27.995

 

 

financial crisis

13.71

1.0610

12.922

 

 

COVID-19 crisis

15.71

1.6643

9.439

 

 

transition

5.40

1.1835

4.563

 

 

 

 In estimating the regression found above, you are concerned that the t-statistics may be inflated because of serial correlation. You compute the DW statistic at 0.724 for the regression

  1. Based on the DW, what can you say about serial correlation between the residuals? Are they positively or negatively correlated? Or not correlated?
  2. Compute the sample correlation between the regression residuals from one period and those from the previous period.
  3. Perform a statistical test at the level to see if there is serial correlation. If you are using the table in the textbook, assume that the critical values of the DW statistic for 214 observations are about 0.11 higher than the critical values for 100 observations.
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