R&D(亿元)GDP(亿元)
0.4248 200.48
0.4904 222.54
0.6537 279.24
0.9365 383.21
1.1704 458.4
1.6393 522.28
1.696 619.87
2.0019 784.68
2.1874 1114.2
2.7619 1644.39
3.0157 2094.9
5.7869 2484.25
7.1649 2870.9
9.4882 3159.91
14.3253 3414.19
21.1918 3764.54
22.6181 4072.85
24.3999 4467.55
37.5019 4983.67
45.026 5763.35
53.7318 6554.69
67.4332 7583.85
82.1719 9248.53
102.1294 10823.01
135.3819 12236.53
单位根检验 x为r&d,y为gdp,均为二阶平稳
Null Hypothesis: X2 has a unit root
Exogenous: Constant
Lag Length: 0 (Automatic based on SIC, MAXLAG=4)
t-Statistic Prob.*
Augmented Dickey-Fuller test statistic -3.863175 0.0081
Test critical values: 1% level -3.769597
5% level -3.004861
10% level -2.642242
*MacKinnon (1996) one-sided p-values.
Augmented Dickey-Fuller Test Equation
Dependent Variable: D(X2)
Method: Least Squares
Date: 07/24/12 Time: 08:36
Sample (adjusted): 1988 2009
Included observations: 22 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
X2(-1) -1.086559 0.281261 -3.863175 0.001
C 1.58232 0.974017 1.62453 0.1199
R-squared 0.42733 Mean dependent var 0.599877
Adjusted R-squared 0.398696 S.D. dependent var 5.687209
S.E. of regression 4.410076 Akaike info criterion 5.892169
Sum squared resid 388.9755 Schwarz criterion 5.991355
Log likelihood -62.81386 F-statistic 14.92412
Durbin-Watson stat 1.659022 Prob(F-statistic) 0.000969
Null Hypothesis: Y2 has a unit root
Exogenous: Constant
Lag Length: 0 (Automatic based on SIC, MAXLAG=4)
t-Statistic Prob.*
Augmented Dickey-Fuller test statistic -3.643269 0.0132
Test critical values: 1% level -3.769597
5% level -3.004861
10% level -2.642242
*MacKinnon (1996) one-sided p-values.
Augmented Dickey-Fuller Test Equation
Dependent Variable: D(Y2)
Method: Least Squares
Date: 07/24/12 Time: 08:39
Sample (adjusted): 1988 2009
Included observations: 22 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
Y2(-1) -0.840684 0.23075 -3.643269 0.0016
C 50.43157 40.25855 1.252692 0.2248
R-squared 0.398919 Mean dependent var -8.890909
Adjusted R-squared 0.368865 S.D. dependent var 217.3801
S.E. of regression 172.6954 Akaike info criterion 13.22744
Sum squared resid 596474 Schwarz criterion 13.32663
Log likelihood -143.5019 F-statistic 13.27341
Durbin-Watson stat 1.856446 Prob(F-statistic) 0.001617
采用EG法进行协整 下面是残差的单位根检验
Null Hypothesis: RESID01 has a unit root
Exogenous: None
Lag Length: 0 (Automatic based on SIC, MAXLAG=4)
t-Statistic Prob.*
Augmented Dickey-Fuller test statistic -3.874125 0.0005
Test critical values: 1% level -2.67429
5% level -1.957204
10% level -1.608175
*MacKinnon (1996) one-sided p-values.
Augmented Dickey-Fuller Test Equation
Dependent Variable: D(RESID01)
Method: Least Squares
Date: 07/24/12 Time: 08:42
Sample (adjusted): 1988 2009
Included observations: 22 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
RESID01(-1) -1.015874 0.26222 -3.874125 0.0009
R-squared 0.41052 Mean dependent var 0.561573
Adjusted R-squared 0.41052 S.D. dependent var 5.534453
S.E. of regression 4.249222 Akaike info criterion 5.775738
Sum squared resid 379.1736 Schwarz criterion 5.825331
Log likelihood -62.53312 Durbin-Watson stat 1.693814
下面是格兰杰检验
Pairwise Granger Causality Tests
Date: 07/24/12 Time: 09:34
Sample: 1985 2009
Lags: 2
Null Hypothesis: Obs F-Statistic Probability
Y2 does not Granger Cause X2 21 6.28834 0.00966
X2 does not Granger Cause Y2 1.89064 0.1832
求高人指点~~~~速度来人啊