一、研究课题:通过对19842003年某国GDP和出口的分析,研究GDP和出口量的相关关系并对参数估计值进行检验。二、模型及数据来源:GDP为因变量,出口量为自变量。选择模型是一元线性回归模型yc0c1xuy代表GDP,(x代表出口量,表示残差项)u数据来自《计量经济学软件eviews的使用》页表121。135提取其进口和国内生产总值两列数据:
a
ualexportgdp58057171198419858089896441986108211020221987147011962519881766714928319891956169092199029858185479199138271216178199246763266381199352848346344199410421846759419951245185847811996125764678846199715160774462619981523367834521999161598820675200020634489468120012202449731482002269474105172320033628791172519
三、作业1、根据表格得到曲线图、散点图、XY曲线图:
1200001000008000060000400002000008486889092GDP9496980002
EXPORT
f曲线图
150000
100000GDP50000
001000020000EXPORT
散点图
12000010000080000GDP60000400002000001000020000EXPORT30000
30000
40000
XY曲线图2、数据描述统计分析
f10
SeriesEXPORTSample19842003Observatio
s20Mea
Media
MaximumMi
imumStdDevSkew
essKurtosisJarqueBeraProbability106168278533003628790580500010076010954931316182430614640216377
8
6
4
2
00
6543210020000400006000080000100000120000
3、简单的回归估计
Depe
de
tVariableGDPMethodLeastSquaresDate061409Time1638Sample19842003I
cludedobservatio
s20VariableCEXPORTRsquaredAdjustedRsquaredSEofregressio
SumsquaredresidCoefficie
t11772773547790094695309440068692656136E09StdError28624190197919tStatistic41128731792548Prob00007000004943902367351921072982117256
10000
20000
30000
40000
SeriesGDPSample19842003Observatio
s20Mea
Media
MaximumMi
imumStdDevSkew
essKurtosisJarqueBeraProbability494390240696901172519717100036735190374595168988418980750387113
Mea
depe
de
tvarSDdepe
de
tvarAkaikei
focriterio
Schwarzcriterio
fLoglikelihoodDurbi
Watso
stat
20872980604971
FstatisticProbFstatistic
32132290000000
根据输出结果,写出OLS估计式,并进行分析说明:yt11772773547790xtR20946953df18检验回归系数显著性的原假设和备择假设是(给定α005)H0:c10;H1:c1≠0。因为t1792548t0025182,所以检验结果是拒绝c10,即认为进口额和GDP之间存在回归关系,二者正方向变化。上述模型的经济解释是,对于出口量每增加1亿元,GDP将平均增加354779亿元。拟合优度为0946953说明上式的拟合情况较好。GDP变动的947可以由出口量的变动解释。4、自相关及其解决r