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計量經(jīng)濟學(xué)第三版課后習(xí)題答案解析-閱讀頁

2025-07-03 19:13本頁面
  

【正文】 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評價: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,證實確實存在多重共線性。(4)建議:如果僅僅是作預(yù)測,可以不在意這種多重共線性,但如果是進行結(jié)構(gòu)分析,還是應(yīng)該引起注意的。說明在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)方差擴大因子CZZC353GDP90SSZE468方差擴大因子均大于10,存在嚴(yán)重多重共線性。(4)解決方式:分別作出財政收入與財政支出、國內(nèi)生產(chǎn)總值、稅收總額之間的一元回歸。(2)存在異方差,估計參數(shù)的方法:①可以對模型進行變換②使用加權(quán)最小二乘法進行計算,得出模型方程,并對其進行相關(guān)檢驗③對模型進行對數(shù)變換,進行分析(3)評價:,隨機擾動項之間不存在異方差。(1)由Eviews軟件分析得:Dependent Variable: YMethod: Least SquaresDate: 12/24/15 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年我國農(nóng)村居民家庭人均消費支出(x)對人均純收入(y)的模型為:Y=+(2)①由圖形法檢驗由上圖可知,模型可能存在異方差。(3)1)采用WLS法估計過程中,①用權(quán)數(shù)w1=1/X,建立回歸得:Dependent Variable: YMethod: Least SquaresDate: 12/24/15 Time: 16:29Sample: 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對此模型進行White檢驗得:Heteroskedasticity Test: WhiteFstatisticProb. F(2,28)Obs*RsquaredProb. ChiSquare(2)Scaled explained SSProb. ChiSquare(2)Test Equation:Dependent Variable: WGT_RESID^2Method: Least SquaresDate: 12/24/15 Time: 16:34Sample: 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=,比較計算的統(tǒng)計量的臨界值,因為nR2=(2)=,所以接受原假設(shè),該模型消除了異方差。估計結(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: 12/24/15 Time: 16:49Sample: 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對此模型進行White檢驗得:Heteroskedasticity Test: WhiteFstatisticProb. F(2,28)Obs*RsquaredProb. ChiSquare(2)Scaled explained SSProb. ChiSquare(2)Test Equation:Dependent Variable: WGT_RESID^2Method: Least SquaresDate: 12/24/15 Time: 16:57Sample: 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=,比較計算的統(tǒng)計量的臨界值,因為nR2=(2)=,所以接受原假設(shè),該模型消除了異方差。②White檢驗用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: 12/24/15 Time: 19:56Sample: 1 34Included observations: 34VariableCoefficientStd. ErrortStatistic
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