Goldfeld-Quandt test
GQ test checks if model is the homoscedastic or heteroschedastic according to the Gauss-Markov theorem’s condition. Model is homoschedastic if:
But,
Fcrit > GQ and < 1/GQ ==> the variance isn’t constant in different time periods. Then our model is heteroschedastic. Then we must reestimate our model and should divide data by the variance of the disturbance term.
Durbin-Watson test
The test assumes that d lies between 4 and 0. The critical value of d at any significance level depends on the number of explanatory variables in the regression equation and the number of observations in the sample. Our estimations show that d critical is 0,71 and it lies between dl (1,08) and du (1,53). It means that there is no information about autocorrelation of residuals.
Testing new econometric model (data is divided by the variance of the disturbance term)
As I mentioned before our model didn’t pass GQ test and to solve this problem we should divide initial data by the variance of the disturbance term. So, we get new initial data:
|
Net national disposable income |
Final consumption expenditures |
Year |
X |
Y |
1991 |
0,00000000011 |
0,00000000010 |
1992 |
0,00000000011 |
0,00000000011 |
1993 |
0,00000000012 |
0,00000000012 |
1994 |
0,00000000013 |
0,00000000012 |
1995 |
0,00000000013 |
0,00000000013 |
1996 |
0,00000000014 |
0,00000000013 |
1997 |
0,00000000015 |
0,00000000014 |
1998 |
0,00000000016 |
0,00000000015 |
1999 |
0,00000000017 |
0,00000000016 |
2000 |
0,00000000018 |
0,00000000017 |
2001 |
0,00000000019 |
0,00000000018 |
2002 |
0,00000000019 |
0,00000000019 |
2003 |
0,00000000020 |
0,00000000020 |
2004 |
0,00000000022 |
0,00000000021 |
2005 |
0,00000000023 |
0,00000000022 |
2006 |
0,00000000025 |
0,00000000024 |
2007 |
0,00000000025 |
0,00000000025 |
2008 |
0,00000000026 |
0,00000000026 |
2009 |
0,00000000025 |
0,00000000026 |
2010 |
0,00000000026 |
0,00000000027 |
New specification of the estimated model is:
Table 1:
Regression Statistics |
|
Multiple R |
0,995963339 |
R Square |
0,991942973 |
Adjusted R Square |
0,99146903 |
Standard Error |
4,81896E-12 |
Observations |
19 |
Table 2:
Table 3:
All tests have the same results then we can move to checking adequacy. You can see it in excel file accompanying this document.
Adequacy of the model
Now I’m going to check the adequacy of this model and I’ll use confidence interval for it.
