ANNEXE 6
Augmented Dickey-Fuller Test Equation 
Dependent Variable: D(LPTN) 
Method: Least Squares 
Date: 06/30/19 Time: 18:30 
Sample (adjusted): 1993 2016 
Included observations: 24 after adjustments 
| 
 Variable 
 | 
 Coefficient 
 | 
 Std. Error t-Statistic 
 | 
 Prob. 
 | 
 
| 
 LPTN(-1) 
 | 
 -0.442364 
 | 
 0.203336 -2.175528 
 | 
 0.0412 
 | 
 
| 
 C 
 | 
 -1.302880 
 | 
 2.124929 -0.613141 
 | 
 0.5464 
 | 
 
| 
 @TREND("1992") 
 | 
 0.211777 
 | 
 0.185071 1.144303 
 | 
 0.2654 
 | 
 
| 
 R-squared 
 | 
 0.232466 
 | 
 Mean dependent var 
 | 
 0.533333 
 | 
 
| 
 Adjusted R-squared 
 | 
 0.159367 
 | 
 S.D. dependent var 
 | 
 3.690960 
 | 
 
| 
 S.E. of regression 
 | 
 3.384095 
 | 
 Akaike info criterion 
 | 
 5.392519 
 | 
 
| 
 Sum squared resid 
 | 
 240.4941 
 | 
 Schwarz criterion 
 | 
 5.539775 
 | 
 
| 
 Log likelihood 
 | 
 -61.71022 
 | 
 Hannan-Quinn criter. 
 | 
 5.431586 
 | 
 
| 
 F-statistic 
 | 
 3.180171 
 | 
 Durbin-Watson stat 
 | 
 1.637208 
 | 
 
| 
 Prob(F-statistic) 
 | 
 0.062162 
 | 
   | 
   | 
 
  
Null Hypothesis: D(LPTN) has a unit root Exogenous: Constant 
Lag Length: 0 (Automatic - based on SIC, maxlag=5) 
t-Statistic Prob.* 
Augmented Dickey-Fuller test statistic -4.553657
0.0016 
Test critical values: 1% level -3.752946 
5% level -2.998064 
10% level -2.638752 
*MacKinnon (1996) one-sided p-values. 
Augmented Dickey-Fuller Test Equation Dependent Variable:
D(LPTN,2) Method: Least Squares 
88 
Date: 06/30/19 Time: 18:30 
Sample (adjusted): 1994 2016 
Included observations: 23 after adjustments 
| 
 Variable 
 | 
 Coefficient 
 | 
 Std. Error t-Statistic 
 | 
 Prob. 
 | 
 
| 
 D(LPTN(-1)) 
 | 
 -1.015265 
 | 
 0.222956 -4.553657 
 | 
 0.0002 
 | 
 
| 
 C 
 | 
 0.702786 
 | 
 0.805102 0.872916 
 | 
 0.3926 
 | 
 
| 
 R-squared 
 | 
 0.496835 
 | 
 Mean dependent var 
 | 
 -0.060870 
 | 
 
| 
 Adjusted R-squared 
 | 
 0.472874 
 | 
 S.D. dependent var 
 | 
 5.201463 
 | 
 
| 
 S.E. of regression 
 | 
 3.776440 
 | 
 Akaike info criterion 
 | 
 5.578382 
 | 
 
| 
 Sum squared resid 
 | 
 299.4914 
 | 
 Schwarz criterion 
 | 
 5.677120 
 | 
 
| 
 Log likelihood 
 | 
 -62.15139 
 | 
 Hannan-Quinn criter. 
 | 
 5.603214 
 | 
 
| 
 F-statistic 
 | 
 20.73579 
 | 
 Durbin-Watson stat 
 | 
 1.428641 
 | 
 
| 
 Prob(F-statistic) 
 | 
 0.000173 
 | 
   | 
   | 
 
  
ANNEXE 7
Null Hypothesis: D(LPTN) has a unit root Exogenous: Constant,
Linear Trend 
Lag Length: 5 (Automatic - based on SIC, maxlag=5) 
t-Statistic Prob.* 
Augmented Dickey-Fuller test statistic -3.804240 0.0409 
Test critical values: 1% level -4.571559 
5% level -3.690814 
10% level -3.286909 
*MacKinnon (1996) one-sided p-values. 
Warning: Probabilities and critical values calculated for 20
observations and may not be accurate for a sample size of 18 
Augmented Dickey-Fuller Test Equation 
Dependent Variable: D(LPTN,2) 
Method: Least Squares 
Date: 06/30/19 Time: 18:32 
Sample (adjusted): 1999 2016 
Included observations: 18 after adjustments 
 
| 
 Variable 
 | 
 Coefficient 
 | 
 Std. Error t-Statistic 
 | 
 Prob. 
 | 
 
| 
 D(LPTN(-1)) 
 | 
 -2.908758 
 | 
 0.764609 -3.804240 
 | 
 0.0035 
 | 
 
| 
 D(LPTN(-1),2) 
 | 
 1.526807 
 | 
 0.558831 2.732145 
 | 
 0.0211 
 | 
 
| 
 D(LPTN(-2),2) 
 | 
 1.294677 
 | 
 0.463098 2.795688 
 | 
 0.0189 
 | 
 
| 
 D(LPTN(-3),2) 
 | 
 1.252782 
 | 
 0.361847 3.462183 
 | 
 0.0061 
 | 
 
| 
 D(LPTN(-4),2) 
 | 
 0.899260 
 | 
 0.305979 2.938965 
 | 
 0.0148 
 | 
 
| 
 D(LPTN(-5),2) 
 | 
 0.369186 
 | 
 0.197694 1.867461 
 | 
 0.0914 
 | 
 
| 
 C 
 | 
 6.450608 
 | 
 2.201964 2.929480 
 | 
 0.0151 
 | 
 
| 
 @TREND("1992") 
 | 
 -0.300621 
 | 
 0.118373 -2.539604 
 | 
 0.0294 
 | 
 
| 
 R-squared 
 | 
 0.789346 
 | 
 Mean dependent var 
 | 
 -0.455556 
 | 
 
| 
 Adjusted R-squared 
 | 
 0.641888 
 | 
 S.D. dependent var 
 | 
 3.725780 
 | 
 
| 
 S.E. of regression 
 | 
 2.229597 
 | 
 Akaike info criterion 
 | 
 4.742621 
 | 
 
| 
 Sum squared resid 
 | 
 49.71103 
 | 
 Schwarz criterion 
 | 
 5.138342 
 | 
 
| 
 Log likelihood 
 | 
 -34.68359 
 | 
 Hannan-Quinn criter. 
 | 
 4.797186 
 | 
 
  
89 
F-statistic 5.353035 Durbin-Watson stat 1.884093 
Prob(F-statistic) 0.009032 
ANNEXE 
  
  
90 
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