2,解:设学生月消费支出为Y,家庭月收入水平为X
则在不考虑其他因素的影响时,其基本回归模型:-=-:-
其他定性因素可用如下虚拟变量表示:
=[1 得到奖学金 =[1来自城市
L = to未得到奖学金 2 = to来自农村
_f
. dependent var
. of reg「ession
Akaike info criterion
Sum squared resid
Schwarz criterion
4-
Log likelihood
-
Hannan-Quinn criter.
F-statistic
Durbin-Watson stat
Prob(F-statistic)
则可以见到如下的数值:
r = — + X + r t t t—1
-
R 2= R 2 = F= DW=
我们可以发现此时的DW>du=
得出检验结果
量,姑不能就此判断模型不具有序列相关性,到我们依据拉格朗日乘数方法, 中我们发现:
Breusch-Godfrey Serial Correlation LM Test
F-statistic Prob. -
Obs^R-squared - Prob. Chi-Square(l)
Test Equation:
□ependentVariable: RESID
Method: Least Squares
Date: 12J15711 Time: 21:35
Sample:222
Included observations: 21
Pre sample missing value lagged residuals set to zero.
Variable
Coefficient
Std. Error
t-Statistic
Prob.
X
&4255
Y1
-
-
C
-
-
RESIDH)
0 436294
表明该模型确实不存在一阶序列相关性
2,对于原模型进行调整,两边取对数进行局部调整分析,得出如下的模型: ln Y =5 ln P。+ 七8 In X + (1 -5 )ln Y 1 +5 u
则进行回归分析:
Dependent Variable: LNY
Method: Least Squares
Date: 12/15^11 Time: 21:45
Sample (adjusted): 222
Included observations: 21 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
LNX
LNY1
-76S9
C
-
-
R-squared
Mean dependent var
Adjusted R-squared
. dependent var
. of regression
Akaike info criterion
-
Sum squared resid
Schwarz criterion
-
Log likelihood
Hannan-Quinn criter.
-
F-statistic
□urbin-Watson stat
Prob(F-statistic)
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