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計(jì)量經(jīng)濟(jì)學(xué)龐皓第三版課后答案解析-閱讀頁(yè)

2025-07-03 20:21本頁(yè)面
  

【正文】 RsquaredMean dependent varAdjusted Rsquared. dependent var. of regressionAkaike info criterionSum squared residSchwarz criterionLog likelihoodHannanQuinn criter.FstatisticDurbinWatson statProb(Fstatistic)①得到模型的方程為:Y= X6+②評(píng)價(jià):1) ,數(shù)據(jù)相當(dāng)大,可以認(rèn)為擬合程度很好。 X6 ,小于t(12)=,所以系數(shù)是不顯著的。但當(dāng)α=,t(24)=,LNCPI的系數(shù)不顯著,可能存在多重共線性。LNGDPLNGDP, LNCPI之間的相關(guān)系數(shù)很高,證實(shí)確實(shí)存在多重共線性。(4)建議:如果僅僅是作預(yù)測(cè),可以不在意這種多重共線性,但如果是進(jìn)行結(jié)構(gòu)分析,還是應(yīng)該引起注意的。說(shuō)明在α=,水平下,回歸方程回歸方程整體上是顯著的。由此可得知,該方程可能存在多重共線性。(3)做輔助回歸被解釋變量可決系數(shù)方差擴(kuò)大因子CZZC353GDP90SSZE468方差擴(kuò)大因子均大于10,存在嚴(yán)重多重共線性。(4)解決方式:分別作出財(cái)政收入與財(cái)政支出、國(guó)內(nèi)生產(chǎn)總值、稅收總額之間的一元回歸。(2)存在異方差,估計(jì)參數(shù)的方法:①可以對(duì)模型進(jìn)行變換②使用加權(quán)最小二乘法進(jìn)行計(jì)算,得出模型方程,并對(duì)其進(jìn)行相關(guān)檢驗(yàn)③對(duì)模型進(jìn)行對(duì)數(shù)變換,進(jìn)行分析(3)評(píng)價(jià):,隨機(jī)擾動(dòng)項(xiàng)之間不存在異方差。(1)由Eviews軟件分析得:Dependent Variable: YMethod: Least SquaresDate: 12/10/14 Time: 16:00Sample: 1 31Included observations: 31VariableCoefficientStd. ErrortStatisticProb.XCRsquaredMean dependent varAdjusted Rsquared. dependent var. of regressionAkaike info criterionSum squared resid12220196Schwarz criterionLog likelihoodHannanQuinn criter.FstatisticDurbinWatson statProb(Fstatistic)由上表可知,2007年我國(guó)農(nóng)村居民家庭人均消費(fèi)支出(x)對(duì)人均純收入(y)的模型為:Y=+(2)①由圖形法檢驗(yàn)由上圖可知,模型可能存在異方差。(3)1)采用WLS法估計(jì)過程中,①用權(quán)數(shù)w1=1/X,建立回歸得:Dependent Variable: YMethod: Least SquaresDate: 12/09/14 Time: 11:13Sample: 1 31Included observations: 31Weighting series: W1VariableCoefficientStd. ErrortStatisticProb.XCWeighted StatisticsRsquaredMean dependent varAdjusted Rsquared. dependent var. of regressionAkaike info criterionSum squared resid8352726.Schwarz criterionLog likelihoodHannanQuinn criter.FstatisticDurbinWatson statProb(Fstatistic)Unweighted StatisticsRsquaredMean dependent varAdjusted Rsquared. dependent var. of regressionSum squared resid14484289DurbinWatson stat對(duì)此模型進(jìn)行White檢驗(yàn)得:Heteroskedasticity Test: WhiteFstatisticProb. F(2,28)Obs*RsquaredProb. ChiSquare(2)Scaled explained SSProb. ChiSquare(2)Test Equation:Dependent Variable: WGT_RESID^2Method: Least SquaresDate: 12/10/14 Time: 21:13Sample: 1 31Included observations: 31Collinear test regressors dropped from specificationVariableCoefficientStd. ErrortStatisticProb.C1045682.WGT^21173622.X*WGT^2RsquaredMean dependent varAdjusted Rsquared. dependent var. of regressionAkaike info criterionSum squared resid+13Schwarz criterionLog likelihoodHannanQuinn criter.FstatisticDurbinWatson statProb(Fstatistic)從上可知,nR2=,比較計(jì)算的統(tǒng)計(jì)量的臨界值,因?yàn)閚R2=(2)=,所以接受原假設(shè),該模型消除了異方差。估計(jì)結(jié)果為: Y= t=()()R2= F= DW=③用權(quán)數(shù)w3=1/sqr(x),用回歸分析得:Dependent Variable: YMethod: Least SquaresDate: 12/09/14 Time: 21:35Sample: 1 31Included observations: 31Weighting series: W3VariableCoefficientStd. ErrortStatisticProb.XCWeighted StatisticsRsquaredMean dependent varAdjusted Rsquared. dependent var. of regressionAkaike info criterionSum squared resid9990985.Schwarz criterionLog likelihoodHannanQuinn criter.FstatisticDurbinWatson statProb(Fstatistic)Unweighted StatisticsRsquaredMean dependent varAdjusted Rsquared. dependent var. of regressionSum squared resid12717412DurbinWatson stat對(duì)此模型進(jìn)行White檢驗(yàn)得:Heteroskedasticity Test: WhiteFstatisticProb. F(2,28)Obs*RsquaredProb. ChiSquare(2)Scaled explained SSProb. ChiSquare(2)Test Equation:Dependent Variable: WGT_RESID^2Method: Least SquaresDate: 12/09/14 Time: 20:36Sample: 1 31Included observations: 31Collinear test regressors dropped from specificationVariableCoefficientStd. ErrortStatisticProb.C1212308.2141958.WGT^21301839.X^2*WGT^2RsquaredMean dependent varAdjusted Rsquared. dependent var. of regressionAkaike info criterionSum squared resid+13Schwarz criterionLog likelihoodHannanQuinn criter.FstatisticDurbinWatson statProb(Fstatistic)從上可知,nR2=,比較計(jì)算的統(tǒng)計(jì)量的臨界值,因?yàn)閚R2=(2)=,所以接受原假設(shè),該模型消除了異方差。②White檢驗(yàn)用EViews軟件分析得:Heteroskedasticity Test: WhiteFstatisticProb. F(2,31)Obs*RsquaredProb. ChiSquare(2)Scaled explained SSProb. ChiSquare(2)Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 12/11/14 Time: 12:56Sample: 1 34Included observations: 34VariableCoefficientStd. ErrortStatisticProb.
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