第二章简单线性回归模型.docx

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1、第二章简单线性回归模型2.1(1)首先分析人均寿命与人均GDP的数量关系，用Eviews分析:Dependent Variable: YMethod: Least SquaresDate: 12/23/15 Time: 14:37Sample: 1 22Included observations: 22VariableCoefficientStd. Errort-StatisticProb.C56.647941.96082028.889920.0000X10.1283600.0272424.7118340.0001R-squaredAdjusted R-squaredS.E. of regre

2、ssionSum squared residLog likelihoodF-statistic62.5000010,088896.8493246.9485106.8726890.6290740.526082 Mean dependent var0.502386 S.D. dependent var7.116881 Akaike info criterion1013.000 Schwarz criterion-73.34257 Hannan-Quinn enter.22.20138 Durbin-Watson statProb(F-statistic)0.000134有上可知，关系式为y=56.

3、64794+0.128360关于人均寿命与成人识字率的关系，用Eviews分析如下:Dependent Variable: YMethod: Least SquaresDate: 12/23/15 Time: 15:01Sample: 1 22Included observations: 22VariableCoefficientStd. Error t-StatisticProb.c38.794243.53207910.983400.0000X20.3319710.0466567.1153080.0000R-squared0.716825Mean dependent var62.50000A

4、djusted R-squared0.702666S.D.dependent var10.08889S.E. of regression5.501306Akaike info criterion6.334356Sum squared resid605.2873Schwarz criterion6.433542Log likelihood-67.67792Hannan-Quinn enter.6.357721F-statistic50.62761Durbin-Watson stat1.846406Prob(F-statistic)0.000001由上可知，关系式为y=3879424+033197

5、1X2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:Dependent Variable: YMethod: Least SquaresDate: 12/23/14 Time: 15:20Sample: 1 22Included observations: 22VariableCoefficientStd. Error t-StatisticProb.C31.799566.5364344.8649710.0001X30.3872760.0802604.8252850.0001R-squared0.537929Mean dependent var62.50000Adjusted

6、 R-squared0.514825S.D.dependent var10.08889S.E. of regression7.027364Akaike info criterion6.824009Sum squared resid987.6770Schwarz criterion6.923194Log likelihood-73.06409Hannan-Quinn enter.6.847374F-statistic23.28338Durbin-Watson stat0.952555Prob(F-statistic)0.000103由上可知，关系式为y=31,79956+0.387276x3(2

7、)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 ( BQ =4.711834t0025(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。关于人均寿命与成人识字率模型，由上可知，可决系数为0.716825,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 (Bz) =7.1153O8to.o25(2O)=2.O86,对斜率系数的显著性检验表明，成人识字率对人均寿命有显著影响。关于人均寿命与一岁儿童疫苗的模型，由上可知，可决系数为0.537929,说明所建模型整体上对

8、样本数据拟合较好。对于回归系数的t检验：t ( 3)=4.825285bo25(2O)=2.O86,对斜率系数的显著性检验表明，一岁儿童疫苗接种率对人均寿命有显著影响。Dependent Variable: YMethod: Least SquaresDate: 12/23/14 Time: 15:20Sample: 1 22Included observations: 22VariableCoefficientStd. Error t-StatisticProb.C31.799566.5364344.8649710.0001X30.3872760.0802604.8252850.0001R-

9、squared0.537929Mean dependent var62.50000Adjusted R-squared0.514825S.D.dependent var10.08889S.E. of regression7.027364Akaike info criterion6.824009Sum squared resid987.6770Schwarz criterion6.923194Log likelihood-73.06409Hannan-Quinn enter.6.847374F-statistic23.28338Durbin-Watson stat0.952555Prob(F-s

10、tatistic)0.000103由上可知，关系式为y=31,79956+0.387276x3(2)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 ( BQ =4.711834t0025(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。关于人均寿命与成人识字率模型，由上可知，可决系数为0.716825,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 (Bz) =7.1153O8to.o25(2O)=2.O86,对斜率系数的显著性检验表明，成人识字率对人均寿命有显著

11、影响。关于人均寿命与一岁儿童疫苗的模型，由上可知，可决系数为0.537929,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 ( 3)=4.825285bo25(2O)=2.O86,对斜率系数的显著性检验表明，一岁儿童疫苗接种率对人均寿命有显著影响。Dependent Variable: YMethod: Least SquaresDate: 12/23/14 Time: 15:20Sample: 1 22Included observations: 22VariableCoefficientStd. Error t-StatisticProb.C31.799566.53643

12、44.8649710.0001X30.3872760.0802604.8252850.0001R-squared0.537929Mean dependent var62.50000Adjusted R-squared0.514825S.D.dependent var10.08889S.E. of regression7.027364Akaike info criterion6.824009Sum squared resid987.6770Schwarz criterion6.923194Log likelihood-73.06409Hannan-Quinn enter.6.847374F-st

13、atistic23.28338Durbin-Watson stat0.952555Prob(F-statistic)0.000103由上可知，关系式为y=31,79956+0.387276x3(2)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 ( BQ =4.711834t0025(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。关于人均寿命与成人识字率模型，由上可知，可决系数为0.716825,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 (Bz) =7.1

14、153O8to.o25(2O)=2.O86,对斜率系数的显著性检验表明，成人识字率对人均寿命有显著影响。关于人均寿命与一岁儿童疫苗的模型，由上可知，可决系数为0.537929,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 ( 3)=4.825285bo25(2O)=2.O86,对斜率系数的显著性检验表明，一岁儿童疫苗接种率对人均寿命有显著影响。由上可知，模型的参数：斜率系数为0.980275,截距为-1.918289关于浙江省财政预算收入与全省生产总值的模型，检验其显著性：1)可决系数为0.963442,说明所建模型整体上对样本数据拟合较好。2)对于回归系数的t检验：t (Ba) =28.58268to,o25(31 )=2.0395,对斜率系数的显著性检验表明，全省生产总值对财政预算总收入有显著影响。经济意义：全省生产总值每增长1%,财政预算总收入增长0.980275%2.4(1)对建筑面积与建造单位成本模型，用Eviews分析结果如下:Dependent Variable: YMethod: Least SquaresDate: 12/23/15 T