自相关问检验的Eviews的操作方法

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计量经济学实验报告

实验目的:掌握自相关问题的检验以及相关的Eviews的操作方法。实验内容:消费总量的多少主要有GDP决定。为了考察GDP对消费

总额的影响,可使用如下模型:Y

i =

1

β

β+

i

X;其中,X表示GDP,

Y表示消费总量。下表列出了中国1990-2000的GDP的X与消费总额Y的统计数据。

年份GDP(X)消费总额(Y)年份GDP(X)消费总额(Y)

199018319.5 11365.2 199879003.3 46405.9

199121280.4 13145.9 199982673.2 49722.8

199225863.7 15952.1 200089112.5 54617.2

199334500.7 20182.1 2001 98592.9 58927.4

199446690.7 26796 2002 107897.6 62798.5

199558510.5 33635 2003 121730.3 67493.5

199668330.4 40003.9 2004 142394.2 75439.7

199774894.243579.4

一、估计回归方程

OLS法的估计结果如下:

Y=2329.401+0.546950X

(1.954322)(36.71110)

R2=0.990446,R2=0.989711,SE=2091.475,D.W.=0.478071。

二、进行序列相关性检验

(1)图示检验法

(2)回归检验法

一阶回归检验

二阶回归检验

e=1.144406e1-t-0.343796e2-t+εt

t

3)拉格朗日乘数(LM)检验法

Breusch-Godfrey Serial Correlation LM Test:

F-statistic 29.41781 Probability 0.000038

Obs*R-squared 12.63731 Probability 0.001802

Test Equation:

Dependent Variable: RESID

Method: Least Squares

C 37.31393 644.3315 0.057911 0.9549

X -0.002008 0.009377 -0.214144 0.8344

RESID(-1) 1.744086 0.234326 7.442998 0.0000

R-squared 0.842487 Mean dependent var 4.37E-12

Adjusted R-squared 0.799529 S.D. dependent var 2015.396

S.E. of regression 902.3726 Akaike info criterion 16.67111

Sum squared resid 8957040. Schwarz criterion 16.85992

Log likelihood -121.0333 F-statistic 19.61188

Durbin-Watson stat 2.360720 Prob(F-statistic) 0.000101

C=37.31393 x=-0.002008 RESID(-1)=1.744086 RESID(-2)= -1.088243 三、序列相关的补救

Dependent Variable: DY

Method: Least Squares

Date: 12/17/12 Time: 22:07

Sample(adjusted): 1991 2004

Included observations: 14 after adjusting endpoints

C 2369.885 789.9844 2.999914 0.0111

DX 0.465880 0.029328 15.88520 0.0000

R-squared 0.954604 Mean dependent var 13875.68

Adjusted R-squared 0.950821 S.D. dependent var 5320.847

S.E. of regression 1179.971 Akaike info criterion 17.11593

Sum squared resid 16707973 Schwarz criterion 17.20722

Log likelihood -117.8115 F-statistic 252.3397

Durbin-Watson stat 0.521473 Prob(F-statistic) 0.000000

(2)科克伦-奥科特法估计模型

Dependent Variable: Y

Method: Least Squares

Date: 12/17/12 Time: 22:09

Sample(adjusted): 1991 2004

Included observations: 14 after adjusting endpoints

C 55169.41 54542.80 1.011488 0.3335

X 0.345292 0.057754 5.978675 0.0001

R-squared 0.998047 Mean dependent var 43478.53 Adjusted R-squared 0.997691 S.D. dependent var 19591.16 S.E. of regression 941.3171 Akaike info criterion 16.71985 Sum squared resid 9746856. Schwarz criterion 16.85679 Log likelihood -114.0389 F-statistic 2810.040

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