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1、實 驗 報 告課程名稱: 計量經濟學 任課教師: 實驗日期 班級: 姓名: 學號: 實驗項目名稱: 專門問題模型一、實驗目的及要求 1.使學生了解常用計量經濟學軟件的基本應用,熟悉在信息化條件下的經濟學中數據處理的一般流程和方法,增強對經濟數據計量化的感性認識。2.使學生熟練開發工具和平臺的使用,增強實踐動手能力,提高信息技術的應用能力。3.通過統計檢驗加深對放寬基本假定的模型的了解。二、實驗環境1系統軟件:Eviews 3.02工具:Eviews 3.0三、實驗內容與步驟(1)虛擬變量模型1、統計第一產業當月固定資產投資額,并作出折線圖,分析折線圖找出轉折點,與題目所給的進行比較分析。、1)
2、對 Y DD C 回歸:VariableCoefficientStd. Errort-StatisticProb.DD-26.9109512.98339-2.0727220.0475C79.110957.11129411.124690.0000R-squared0.133024Mean dependent var71.03767Adjusted R-squared0.102061S.D. dependent var34.39021S.E. of regression32.58804Akaike info criterion9.870108Sum squared resid29735.45Sch
3、warz criterion9.963521Log likelihood-146.0516F-statistic4.296177Durbin-Watson stat1.774765Prob(F-statistic)0.047518由 p=0.0475,通過顯著性檢驗,接受此點是轉折點的檢驗。但R 2 = 0.102061,統計結果的解釋力度不大。加變量時間T,2) 對 Y T DD C 進行回歸。結果如下:Dependent Variable: Y Method: Least SquaresDate: 11/30/13Sample: 1 30Time: 20:14Included observ
4、ations: 30VariableCoefficientStd. Errort-StatisticProb.T2.6340961.0343612.5465920.0169DD12.6004919.536730.6449640.5244C26.4290221.685201.2187590.2335R-squared0.300933Mean dependent var71.03767Adjusted R-squared0.249151S.D. dependent var34.39021S.E. of regression29.79966Akaike info criterion9.721510S
5、um squared resid23976.53Schwarz criterion9.861630Log likelihood-142.8227F-statistic5.811461Durbin-Watson stat2.153268Prob(F-statistic)0.007962加入時間變量 T 后,雖然整體通過檢驗, R2 =0.249 也有增大,但是 T 和 DD 兩變量都沒有通過檢驗。 VariableCoefficientStd. Errort-StatisticProb.DD*T2.9008452.4592091.1795850.2485T2.6367000.7650243.44
6、65580.0019C25.8175515.310591.6862540.10333)乘法方式引入虛擬變量,回歸結果如下: Y DD*T T CR-squared0.324951Mean dependent var71.03767Adjusted R-squared0.274947S.D. dependent var34.39021S.E. of regression29.28327Akaike info criterion9.686549Sum squared resid23152.77Schwarz criterion9.826669Log likelihood-142.2982F-sta
7、tistic6.498549Durbin-Watson stat2.242692Prob(F-statistic)0.004966從回歸結果來看,整體通過檢驗,但 DD*T 未能通過檢驗, R2 =0.2749,比加法引入時得解釋力度要大。 4)乘法加法方式引入,Y DD*T DD T C 回歸結果如下: VariableCoefficientStd. Errort-StatisticProb.DD*T4.1849293.9866771.0497280.3035DD-12.8620231.12259-0.4132700.6828T2.3315711.0718842.1752090.0389 C
8、32.4795222.398691.4500630.1590R-squared0.329356Mean dependent var71.03767Adjusted R-squared0.251974S.D. dependent var34.39021S.E. of regression29.74357Akaike info criterion9.746669Sum squared resid23001.67Schwarz criterion9.933495Log likelihood-142.2000F-statistic4.256243Durbin-Watson stat2.255636Pr
9、ob(F-statistic)0.014245由回歸結果看來,乘法加法引入,整體未能通過檢驗。因此,判斷得出加法引入變量最合適。、對加法引入虛擬變量的回歸結果進行序列相關性檢驗:Breusch-Godfrey Serial Correlation LM Test:F-statistic0.073869Probability 0.928987R-squared0.005650Mean dependent var1.89E-15Adjusted R-squared-0.109083S.D. dependent var32.02125S.E. of regression33.72253Akaike
10、info criterion9.997775Sum squared resid29567.44Schwarz criterion10.18460Log likelihood-145.9666F-statistic0.049246Durbin-Watson stat1.899406Prob(F-statistic)0.985211 Obs*R-squared0.169504Probability0.918740Test Equation:Dependent Variable: RESIDMethod: Least Squares Date: 12/03/13Time: 20:01 Variabl
11、e CoefficientStd. Errort-StatisticProb.DD 0.11501913.450070.0085520.9932C 0.1226397.3659110.0166500.9868RESID(-1) 0.0599430.2008840.2983970.7678RESID(-2) 0.0464190.2019540.2298500.8200由檢驗結果可以看出,一階 p=0.7678,接受原假設,因此加法引入虛擬變量不存在序列相關性。2、統計第二產業當月固定資產投資額,并作出折線圖,從折線圖看出,整體呈現上升趨勢。、1) 作 Y DD C 回歸分析: VariableC
12、oefficientStd. Errort-StatisticProb.DD*T2.53185731.393100.0806500.9362T70.6504613.164215.3668580.0000C1354.557305.50524.4338250.0001Dependent Variable: Y Method: Least SquaresDate: 11/30/13Time: 20:26 Sample: 1 30Included observations: 30VariableCoefficientStd. Errort-StatisticProb.DD-947.1378264.58
13、92-3.5796530.0013C2705.617144.921518.669530.0000R-squared0.313960Mean dependent var2421.475Adjusted R-squared0.289458S.D. dependent var787.8574S.E. of regression664.1137Akaike info criterion15.89912Sum squared resid12349317Schwarz criterion15.99254Log likelihood-236.4869F-statistic12.81392Durbin-Wat
14、son stat1.883507Prob(F-statistic)0.001281從上述回歸結果看,整體結果較顯著地通過檢驗, R2 =0.289458,解釋力度較小,受時間變量的影響,加入時間 T,再進行回歸。 VariableCoefficientStd. Errort-StatisticProb.DD90.73748406.71830.2230970.8249T73.8368020.146323.6650260.0009C1270.879502.17852.5307310.01672)加入時間 T,加法引入虛擬變量回歸分析:R-squared0.573070Mean dependent
15、var2597.716Adjusted R-squared0.545526S.D. dependent var922.0611S.E. of regression621.6047Akaike info criterion15.78658Sum squared resid11978163Schwarz criterion15.92126Log likelihood-265.3719F-statistic20.80570Durbin-Watson stat2.296929Prob(F-statistic)0.000002由結果得出,整體通過檢驗,但 DD 未能通過檢驗, R2 =0.545526,
16、有增大。 3)乘法引入虛擬變量,回歸如下:R-squared0.572474Mean dependent var2597.716Adjusted R-squared0.544892S.D. dependent var922.0611S.E. of regression622.0382Akaike info criterion15.78798Sum squared resid11994878Schwarz criterion15.92266Log likelihood-265.3956F-statistic20.75511Durbin-Watson stat2.293487Prob(F-stat
17、istic)0.000002從結果看來,整體通過檢驗,DD*T 仍為能通過檢驗,且 R2 =0.544892,較上述結果下降。 4)加法乘法同時引入虛擬變量,回歸如下: VariableCoefficientStd. Errort-StatisticProb.DD*T-8.00523052.05960-0.1537700.8788DD172.7911674.93690.2560110.7997T75.3672122.762403.3110400.0024C1234.149563.41732.1904700.0364R-squared0.573406Mean dependent var2597.
18、716Adjusted R-squared0.530747S.D. dependent var922.0611S.E. of regression631.6310Akaike info criterion15.84462Sum squared resid11968730Schwarz criterion16.02419Log likelihood-265.3585F-statistic13.44149Durbin-Watson stat2.298528Prob(F-statistic)0.000010整體通過檢驗,但變量 DD*T,DD 均沒有通過檢驗, R2 =0.530747,解釋力度下降
19、,因此得出,加法引入虛擬變量最合適.、對加法引入虛擬變量的回歸結果進行序列相關性檢驗:Breusch-Godfrey Serial Correlation LM Test:F-statistic0.366609Probability 0.696142 Obs*R-squared0.811156Probability0.666591Test Equation:Dependent Variable: RESIDMethod: Least Squares Date: 12/03/13Time: 19:41 Variable CoefficientStd. Errort-StatisticProb.D
20、D 5.635720264.00810.0213470.9831C 2.642147163.14120.0161950.9872RESID(-1) 0.1272630.1854160.6863650.4978RESID(-2) 0.0771250.1856150.4155100.6807R-squared0.023858Mean dependent var2.88E-13Adjusted R-squared-0.073757S.D. dependent var721.2856S.E. of regression747.4122Akaike info criterion16.18124Sum s
21、quared resid16758752Schwarz criterion16.36081Log likelihood-271.0811F-statistic0.244406Durbin-Watson stat1.965824Prob(F-statistic)0.864638由結果看,不存在序列相關。3、統計第三產業當月固定資產投資額,并作出折線圖, VariableCoefficientStd. Errort-StatisticProb.DD-1332.413396.3316-3.3618660.0020C4117.958245.070416.803160.00001) 作 Y DD C 回
22、歸分析,結果如下:R-squared0.261007Mean dependent var3608.506Adjusted R-squared0.237913S.D. dependent var1286.466S.E. of regression1123.054Akaike info criterion16.94251Sum squared resid40359988Schwarz criterion17.03230Log likelihood-286.0227F-statistic11.30214Durbin-Watson stat1.936929Prob(F-statistic)0.0020
23、18從結果看,整體通過檢驗,且 DD 也通過檢驗, R2 =0.237913,解釋力度較小,加入時間變量 T,再回歸。 VariableCoefficientStd. Errort-StatisticProb.DD4.197056690.00220.0060830.9952T78.6241534.178462.3004000.0283C2230.979851.95152.6186690.01352)Y DD T CR-squared0.368762Mean dependent var3608.506Adjusted R-squared0.328037S.D. dependent var1286
24、.466S.E. of regression1054.559Akaike info criterion16.84373Sum squared resid34474955Schwarz criterion16.97841Log likelihood-283.3434F-statistic9.054913Durbin-Watson stat2.221291Prob(F-statistic)0.000800從結果看,整體通過檢驗,但 DD 沒有通過檢驗,R2 =0.328037,有所增大。 VariableCoefficientStd. Errort-StatisticProb.DD*T13.766
25、2853.164200.2589390.7974T81.7029322.293593.6648630.0009C2141.860517.37294.1398750.00022) 乘法引入虛擬變量,回歸結果如下:R-squared0.370123Mean dependent var3608.506Adjusted R-squared0.329486S.D. dependent var1286.466S.E. of regression1053.421Akaike info criterion16.84157Sum squared resid34400592Schwarz criterion16.
26、97625Log likelihood-283.3067F-statistic9.107993Durbin-Watson stat2.228089Prob(F-statistic)0.000773整體通過檢驗,但 DD*T 沒有通過檢驗, R2 =0.329486,增大。 3) 乘法加法引入虛擬變量,回歸如下: VariableCoefficientStd. Errort-StatisticProb.DD*T36.0335188.109230.4089640.6855DD-365.14641142.309-0.3196560.7514T71.7353938.524641.8620650.072
27、4 C2396.309953.56602.5129970.0176R-squared0.372261Mean dependent var3608.506Adjusted R-squared0.309488S.D. dependent var1286.466S.E. of regression1069.015Akaike info criterion16.89699Sum squared resid34283821Schwarz criterion17.07657Log likelihood-283.2489F-statistic5.930199Durbin-Watson stat2.23556
28、3Prob(F-statistic)0.002658整體通過檢驗,但 DD,DD*T 沒有通過檢驗,且 R2 =0.309488 減小。因此,加法引入虛擬變量最合適。 對加法引入虛擬變量進行序列相關性檢驗:Breusch-Godfrey Serial Correlation LM Test:F-statistic0.379369Probability 0.687529R-squared0.024667Mean dependent var3.34E-13Adjusted R-squared-0.072866S.D. dependent var1105.907S.E. of regression1
29、145.490Akaike info criterion17.03518Sum squared resid39364413Schwarz criterion17.21476Log likelihood-285.5981F-statistic0.252912Durbin-Watson stat1.946608Prob(F-statistic)0.858630 Obs*R-squared0.838690Probability0.657477Test Equation:Dependent Variable: RESIDMethod: Least Squares Date: 12/03/13Time:
30、 19:55 Variable CoefficientStd. Errort-StatisticProb.DD-8.502311404.3674-0.0210260.9834C-4.535801250.1269-0.0181340.9857RESID(-1) 0.0122780.1838970.0667640.9472RESID(-2)-0.1603400.184690-0.8681560.3922接受原假設,不存在相關性。(2)滯后變量模型統計某地區 1970-1991 年固定資產投資(y)與銷售額(x)的數據,建立分布滯后模型來考察兩者的關系。阿爾蒙變換 Lny pdl(lnx,2,2)c
31、Dependent Variable: LNY Method: Least SquaresDate: 11/30/13Time: 20:57 Sample(adjusted): 1972 1991Included observations: 20 after adjusting endpointsVariableCoefficientStd. Errort-StatisticProb.C-1.5278780.190656-8.0137970.0000PDL010.9401230.3428602.7420000.0145PDL02-0.5584030.174528-3.1995070.0056P
32、DL03-0.7942860.517184-1.5357890.1441R-squared0.993491Mean dependent var4.612088Adjusted R-squared0.992270S.D. dependent var0.522698S.E. of regression0.045955Akaike info criterion-3.145471Sum squared resid0.033789Schwarz criterion-2.946324Log likelihood35.45471F-statistic814.0290Durbin-Watson stat1.2
33、09248Prob(F-statistic)0.000000 Lag Distribution i CoefficienStd. ErrorT-Statisticof LNXt.*|00.704240.262272.68515.*|10.940120.342862.74200*.|2-0.412570.23087-1.78697Sum of1.231800.0347835.4213 LagsPdl03 沒有通過檢驗。 Lny pdl(lnx,9,2)cDependent Variable: LOG(Y) Method: Least SquaresDate: 12/03/13Time: 20:1
34、3 Sample(adjusted): 1979 1991 Included observations: 13 after adjusting endpoints VariableCoefficientStd. Errort-StatisticProb.C-4.3322861.503392-2.8816730.0181PDL01-0.0480960.070412-0.6830630.5118PDL02-0.1652520.037429-4.4150380.0017 PDL030.0356600.0095373.7390970.0046R-squared0.961115Mean dependen
35、t var4.949667Adjusted R-squared0.948154S.D. dependent var0.209765S.E. of regression0.047763Akaike info criterion-2.997475Sum squared resid0.020532Schwarz criterion-2.823645Log likelihood23.48359F-statistic74.15129 Durbin-Watson stat1.732188Prob(F-statistic)0.000001LagiCoefficienStd. ErrorT-Statistic
36、 Distribution of LOG(X)t.*|01.183480.243114.86798.*|10.768600.159384.82252.*|20.425050.100874.21381. *|30.152820.073012.09300*.|4-0.048100.07041-0.68306* .|5-0.177690.07299-2.43457* .|6-0.235960.06995-3.37349* .|7-0.222910.06551-3.40271* .|8-0.138540.07965-1.73929*|90.017150.126710.13536Sum of1.7239
37、10.265196.50055LagsLny pdl(lnx,10,2)cDependent Variable: LOG(Y) Method: Least SquaresDate: 12/03/13Time: 20:14 Sample(adjusted): 1980 1991 Included observations: 12 after adjusting endpoints VariableCoefficientStd. Errort-StatisticProb.C-4.5837322.701115-1.6969780.1281PDL01-0.1402330.072980-1.921539
38、0.0909PDL02-0.1081810.043423-2.4913120.0374 PDL030.0301030.0079953.7653470.0055R-squared0.938713Mean dependent var4.982535Adjusted R-squared0.915730S.D. dependent var0.180776S.E. of regression0.052478Akaike info criterion-2.795640Sum squared resid0.022032Schwarz criterion-2.634005Log likelihood20.77
39、384F-statistic40.84431 Durbin-Watson stat1.685437Prob(F-statistic)0.000034LagiCoefficienStd. ErrorT-Statistic Distribution of LOG(X)t.*|01.153240.331213.48191.*|10.774130.241813.20143.*|20.455230.169942.67875. *|30.196540.117041.67918*|4-0.001950.08506-0.02293* .|5-0.140230.07298-1.92154* .|6-0.2183
40、10.07313-2.98517* .|7-0.236180.07880-2.99726* .|8-0.193850.09139-2.12120*.|9-0.091310.11726-0.77868.*|10.071430.160990.443710Sum of Lags1.768740.476463.71225各參數都通過了檢驗,且 R2 =0.915解釋力度較大。Lny pdl(lnx,11,2)c Dependent Variable: LOG(Y) Method: Least SquaresDate: 12/03/13Time: 20:15 Sample(adjusted): 1981 1991 Included observations: 11 after adjusting
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