第二章 简单线性回归模型 2.1
(1) ①首先分析人均寿命与人均GDP的数量关系,用Eviews分析: Dependent Variable: Y Method: Least Squares Date: 12/27/14 Time: 21:00 Sample: 1 22
Included observations: 22
Variable
CX1
R-squared
Coefficien
t Std. Error t-Statistic Prob.
56.64794 0.128360
1.960820 0.027242
28.88992 4.711834
0.0000 0.0001 62.50000
Mean dependent
0.526082 var
S.D. dependent
Adjusted R-squared 0.502386 var
Akaike info
10.08889
S.E. of regression 7.116881 criterion
Schwarz
6.849324
Sum squared resid 1013.000 criterion
Hannan-Quinn
6.948510
Log likelihood -73.34257 criter.
Durbin-Watson
6.872689
F-statistic Prob(F-statistic)
22.20138 stat 0.000134
0.629074
1 有上可知,关系式为y=56.64794+0.128360x
可复制、编制,期待你的好评与关注!
②关于人均寿命与成人识字率的关系,用Eviews分析如下:
可复制、编制,期待你的好评与关注!
Dependent Variable: Y Method: Least Squares Date: 11/26/14 Time: 21:10 Sample: 1 22
Included observations: 22
Variable
CX2
R-squared
Coefficien
t Std. Error t-Statistic Prob.
38.79424 0.331971
3.532079 0.046656
10.98340 7.115308
0.0000 0.0000 62.50000
Mean dependent
0.716825 var
S.D. dependent
Adjusted R-squared 0.702666 var
Akaike info
10.08889
S.E. of regression 5.501306 criterion
Schwarz
6.334356
Sum squared resid 605.2873 criterion
Hannan-Quinn
6.433542
Log likelihood -67.67792 criter.
Durbin-Watson
6.357721
F-statistic Prob(F-statistic)
50.62761 stat 0.000001
1.846406
2
由上可知,关系式为y=38.79424+0.331971x
③关于人均寿命与一岁儿童疫苗接种率的关系,用Eviews分析如下:
可复制、编制,期待你的好评与关注!
Dependent Variable: Y Method: Least Squares
可复制、编制,期待你的好评与关注!
Date: 11/26/14 Time: 21:14 Sample: 1 22
Included observations: 22
Variable
CX3
R-squared
Coefficien
t Std. Error t-Statistic Prob.
31.79956 0.387276
6.536434 0.080260
4.864971 4.825285
0.0001 0.0001 62.50000
Mean dependent
0.537929 var
S.D. dependent
Adjusted R-squared 0.514825 var
Akaike info
10.08889
S.E. of regression 7.027364 criterion
Schwarz
6.824009
Sum squared resid 987.6770 criterion
Hannan-Quinn
6.923194
Log likelihood -73.06409 criter.
Durbin-Watson
6.847374
F-statistic Prob(F-statistic)
23.28338 stat 0.000103
0.952555
3
由上可知,关系式为y=31.79956+0.387276x
(2)①关于人均寿命与人均GDP模型,由上可知,可决系数为0.526082,说明所建模型整体上对样本数据拟合较好。
对于回归系数的t检验:t(β1)=4.711834>t0.025(20)=2.086,对斜率系数的显著性检验表明,人均GDP对人均寿命有显著影响。
可复制、编制,期待你的好评与关注!