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  • 8/2/2019 giasutre.edu.vn_BO CO THC HNH KINH T LNG GDP-EX-IM

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    Bo co thc hnh Kinh t lng

    BO CO THC HNH KINH T LNG

    Ta c bng s liu m t mi quan h gia GDP vi xut khu EX v

    nhp khu IM nh sau: n v: T USD

    Nm GDP EX IM1993 9.11 2.985 3.9241994 11.89 4.0543 5.8261995 15.26 5.45 8.15541996 18.14 7.256 11.1436

    1997 20.9 9.185 11.61998 24.06 9.36 11.51999 26.65 11.54 11.742000 29.43 14.48 15.642001 32.17 15.03 16.162002 35.71 16.7 19.732003 40.9 20.15 25.2562004 47.7 26.5 31.9542005 53.86 32.233 36.88

    Ngun s liu: Thi bo Kinh t Vit Nam.

    www.vneconomy.com.vn

    1. Lp m hnh hi qui m t mi quan h ca GDP theo EX v IM.

    c lng m hnh ban u ta c m hnh hi qui:

    GDPi = 1 + iEX2 + iIM3 + ei

    2. c lng m hnh hi qui vi cc s liu thu thp c bng phn mm

    Eviews.

    Hi qui m hnh trn bng phn mm Eviews ta thu c kt qu c lng

    sau:

    SV: L Mnh Linh Lp: K43/05.011

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    Bo co thc hnh Kinh t lng

    Bo co 1

    Dependent Variable: GDP

    Method: Least Squares

    Date: 11/16/07 Time: 13:43

    Sample: 1993 2005Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    EX 1.682714 0.546636 3.078306 0.0117

    IM -0.118591 0.052824 -2.245824 0.8108

    C 7.343842 1.229025 5.975339 0.0001

    R-squared 0.979307 Mean dependent var 28.07462

    Adjusted R-squared 0.975168 S.D. dependent var 13.71693

    S.E. of regression 2.161523 Akaike info criterion 4.578677Sum squared resid 46.72181 Schwarz criterion 4.709050

    Log likelihood -26.76140 F-statistic 236.6271

    Durbin-Watson stat 0.962753 Prob(F-statistic) 0.000000

    Da vo bng trn ta c kt qu hm hi qui GDPtheoEX(xut khu)

    vIM(nhp khu) nh sau:

    GDPi = 7.343842 + 1.682714. EXi 0.118591. IMi (1)

    *T kt qu trn ta thy- Nu xut khu (EX) tng ln 1 t ng th GDP tng ln 1.682714 t

    ng trong iu kin nhp khu ( IM ) khng i.

    - Nu nhp khu (IM) tng 1 t ng th GDP gim 0.118591 t ng vi

    diu kin xut khu (EX) khng thay i.

    - Hai bin EX v IM gii thch c 97, 9307 % s bin ng ca GDP

    - 2 >0 v 3 T/2(n-3)}

    Theo bng Eviews trn ta c Tqs 2 = 3.078306 > T/2(n-3) = T0.02510 = 2.228

    Vy bc b H0 , chp nhn H1,xut khu c nh hng ti GDP.

    +Kim nh 3 :H0: 3 = 0

    SV: L Mnh Linh Lp: K43/05.012

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    Bo co thc hnh Kinh t lng

    H1: 3 0

    Vi min bc b l W = {T \ | Tqs|> T/2(n-3)}

    Theo bng Eviews trn ta c | Tqs 3| = 2.245824 > T/2(n-3) = T0.02510 = 2.228

    Vy bc b H0 , chp nhn H1, nhp khu c nh hng ti GDP.3. Kim nh cc khuyt tt ca m hnh c lng bng phn

    mm Eviews.

    3.1 Pht hin a cng tuyn.

    *Hi qui EX theo IM:

    Hm hi quy: EX = 1 + 2.IM

    Bo co 2

    Dependent Variable: EX

    Method: Least Squares

    Date: 11/16/07 Time: 13:13

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    IM 0.875006 0.034674 25.23530 0.0000

    C -0.646030 0.649313 -0.994944 0.3411

    R-squared 0.983020 Mean dependent var 13.45564

    Adjusted R-squared 0.981476 S.D. dependent var 8.759949

    S.E. of regression 1.192243 Akaike info criterion 3.330189

    Sum squared resid 15.63588 Schwarz criterion 3.417104

    Log likelihood -19.64623 F-statistic 636.8204

    Durbin-Watson stat 0.910640 Prob(F-statistic) 0.000000

    Ta thu c 22R = 0.98302

    - Kim nh cp gi thuyt:

    H0: M hnh (1) khng c a cng tuyn

    H1: M hnh (1) c a cng tuyn

    - Tiu chun kim nh: Ta s dng tiu chun kim nh F - kim nh s ph

    hp ca hm hi qui.

    F=)1/()1(

    )2/(22

    22

    +

    knR

    kR~ F(k-2; n-k+1)

    - Min bc b gi thuyt1;2: +>= knkqsqs FFFW

    SV: L Mnh Linh Lp: K43/05.013

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    Bo co thc hnh Kinh t lng

    Da vo bng trn ta thy, gi tr Fqs = 836.8204

    Ta thy Fqs > F0.05 => Fqs(1,11) = 4,64 => Bc b H0, chp nhn H1

    Vy, vi mc ngha =0.05 m hnh cho c hin tng a cng tuyn.

    Ngoi ra ta thy VIF = 1/ ( 1 R2

    2) = 1/ ( 1 0.98302) 58,893 > 9Nh vy m hnh cn c hin tng a cng tuyn cao.

    * Kim nh a cng tuyn bng o Theil

    Ta tin hnh hi quy GDP theo tng bin gii thch EX v IM bng Eviews.

    + Hi quy GDP theo EX:

    Dependent Variable: GDP

    Method: Least Squares

    Date: 11/16/07 Time: 13:13

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    EX 1.549484 0.068121 22.74613 0.0000

    C 7.225318 1.081144 6.683033 0.0000

    R-squared 0.979182 Mean dependent var 28.07462

    Adjusted R-squared 0.977289 S.D. dependent var 13.71693

    S.E. of regression 2.067149 Akaike info criterion 4.430856

    Sum squared resid 47.00414 Schwarz criterion 4.517771

    Log likelihood -26.80056 F-statistic 517.3866

    Durbin-Watson stat 0.902206 Prob(F-statistic) 0.000000

    Ta thu c R2-2 = 0.979182

    + By gi hi quy GDP theo IM bng Eviews ta c:

    Dependent Variable: GDP

    Method: Least Squares

    Date: 11/16/07 Time: 13:14

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    IM 1.353795 0.083647 16.18460 0.0000

    C 6.256757 1.566398 3.994359 0.0021

    R-squared 0.959698 Mean dependent var 28.07462

    Adjusted R-squared 0.956034 S.D. dependent var 13.71693

    S.E. of regression 2.876160 Akaike info criterion 5.091427Sum squared resid 90.99525 Schwarz criterion 5.178343

    Log likelihood -31.09428 F-statistic 261.9413

    SV: L Mnh Linh Lp: K43/05.014

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    Bo co thc hnh Kinh t lng

    Durbin-Watson stat 0.526656 Prob(F-statistic) 0.000000

    SV: L Mnh Linh Lp: K43/05.015

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    Bo co thc hnh Kinh t lng

    Ta thu c R2-3 = 0.959698

    Ta c cng thc o Theil: m = R2 - R( 2 - R 2-j ) =

    = 0.979307 (0.979307 0.979182) (0.979307 0.959698)

    = 0.959573Do m gn ti 1 nn c th cho rng m hnh c hin tng a cng tuyn cao.

    3.2 Kim nh White pht hin Phng sai sai s thay i.

    Hi qui m hnh sau:

    e2i = 1 + 2EXi + 3EX2i + 4EX1*IMi + 5IMi + 6IMi2 + Vi(2)

    Bng phn mm Eviews ta thu c kt qu bo co:

    Bo co 4

    White Heteroskedasticity Test:

    F-statistic 1.055173 Prob. F(5,7) 0.456528

    Obs*R-squared 5.587079 Prob. Chi-Square(5) 0.348492

    Test Equation:

    Dependent Variable: RESID^2

    Method: Least Squares

    Date: 11/16/07 Time: 18:02

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    C 4.950781 5.143307 0.962568 0.3678

    EX -1.321968 2.699377 -0.489731 0.6393

    EX^2 -1.092058 0.884183 -1.235104 0.2566

    EX*IM 1.944439 1.559181 1.247090 0.2525

    IM 0.968018 2.748252 0.352231 0.7350

    IM^2 -0.856874 0.699230 -1.225454 0.2600

    R-squared 0.429775 Mean dependent var 3.593985Adjusted R-squared 0.022472 S.D. dependent var 3.647937

    S.E. of regression 3.606716 Akaike info criterion 5.707510

    Sum squared resid 91.05880 Schwarz criterion 5.968256

    Log likelihood -31.09882 F-statistic 1.055173

    Durbin-Watson stat 2.535022 Prob(F-statistic) 0.456528

    Thu c R2w = 0.429775

    xt xem c hin tng phng sai sai s thay i trong m hnh hi quy ban

    u ta i kim nh cp gi thuyt sau:Ho:M hnh (1) c phng sai sai s khng thay i

    SV: L Mnh Linh Lp: K43/05.016

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    Bo co thc hnh Kinh t lng

    H1: M hnh (1) c phng sai sai s thay i

    - Tiu chun kim nh : 2 =n R2w~ 2 (5)

    - Min bc b :W={ 2 : 2 > 2 (5)}

    Gi tr ca thng k quan st:2qs = nR2w = 13.0,429775 = 5,587

    Vi = 0.05, n = 13 ta tm c gi tr ti hn 2 0.05(5) = 11,0705

    Ta thy m hnh trn c 2qs = 5,587 < 2 0.05(5) = 11,0705 tc l2qs W => cha c c s bc b Ho

    Vy vi mc ngha =0.05 m hnh cho c phng sai sai s khng i.

    3.3. Pht hin T tng quan bng kim nh BG.

    Hi quy m hnh sau:et = 1 + 2EXt + 3IMt + 4et-1 + 5et-2 + Vt

    Bo co 5

    Breusch-Godfrey Serial Correlation LM Test:

    F-statistic 1.278282 Prob. F(2,8) 0.329814

    Obs*R-squared 3.148310 Prob. Chi-Square(2) 0.207183

    Test Equation:

    Dependent Variable: RESIDMethod: Least Squares

    Date: 11/17/07 Time: 23:30

    Sample: 1993 2005

    Included observations: 13

    Presample missing value lagged residuals set to zero.

    Variable Coefficient Std. Error t-Statistic Prob.

    EX 0.060257 0.587210 0.102615 0.9208

    IM -0.045168 0.489501 -0.092274 0.9287

    C -0.095473 1.509849 -0.063233 0.9511RESID(-1) 0.555561 0.418172 1.328546 0.2206

    RESID(-2) -0.447016 0.563147 -0.793782 0.4502

    R-squared 0.242178 Mean dependent var -6.83E-16

    Adjusted R-squared -0.136733 S.D. dependent var 1.973191

    S.E. of regression 2.103771 Akaike info criterion 4.609063

    Sum squared resid 35.40683 Schwarz criterion 4.826351

    Log likelihood -24.95891 F-statistic 0.639141

    Durbin-Watson stat 1.626435 Prob(F-statistic) 0.649309

    Ta thu c m hnh sau:

    et = - 0.095473 + 0.060257.EXt - 0.045168IMt + 0.555561et-1 - 0.447016et-2 + Vt

    SV: L Mnh Linh Lp: K43/05.017

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    Bo co thc hnh Kinh t lng

    Thu c RBG2 = 0.242178

    - kim nh hin tng t tng quan trong m hnh hi quy ban u ta tin

    hnh kim nh cp gi thuyt sau:

    Ho : M hnh khng c t tng quanH1: M hnh c t tng quan

    - Tiu chun kim nh : 2 =(n-2) 2eR ~2 (2)

    - Min bc b: W={ 2 : ( )2205.02 > }

    Gi tr thng k quan st : 2qs = 2.664

    Gi tr ti hn: ( )2205.0 =5.991472qs = 2.664 < 5.99147

    2qs W => cha c c s bc b H0

    Vy vi mc ngha = 0.05, c th cho rng m hnh khng c t tng

    quan.

    3.4. pht hin ch nh sai dng hm bng kim nh Ramsey.

    Gi s m hnh ng l: GDPt = 1 + tEX2 + tIM3 + Vt

    c lng m hnh sau: GDPt = 1 + 2 EXt + 33

    42

    tt PDGPDG + + Vt (**)

    Bo co 6

    Ramsey RESET Test:

    F-statistic 1.172103 Prob. F(2,8) 0.004191

    Log likelihood ratio 1.779317 Prob. Chi-Square(2) 0.000137

    Test Equation:

    Dependent Variable: GDP

    Method: Least Squares

    Date: 11/18/07 Time: 01:02

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    EX 2.462484 0.893257 2.756748 0.0248

    IM 0.119434 0.278038 0.429560 0.6789

    C 3.011766 1.417665 2.124456 0.0664

    FITTED^2 -0.011170 0.018489 -0.604138 0.5625

    FITTED^3 1.85E-05 0.000180 0.102750 0.9207

    R-squared 0.994735 Mean dependent var 28.07462

    Adjusted R-squared 0.992102 S.D. dependent var 13.71693

    S.E. of regression 1.219002 Akaike info criterion 3.517665Sum squared resid 11.88772 Schwarz criterion 3.734953

    Log likelihood -17.86482 F-statistic 377.8627

    SV: L Mnh Linh Lp: K43/05.018

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    Bo co thc hnh Kinh t lng

    Durbin-Watson stat 2.454389 Prob(F-statistic) 0.000000

    Thu c R42 = 0.994735

    - xem m hnh ban u c b st bin hay khng ta i kim nh cp gi

    thuyt sau:H0: m hnh ch nh ng

    H1: m hnh ch nh sai

    - Tiu chun kim nh F

    F=)5/()1(

    2/)(2

    4

    22

    4

    nR

    RR~ F(2; n-5)

    - Min bc b: W= {F: F > F 05.0 (2;n-5)}

    Gi tr thng k quan st: Fqs = 1.172103Gi tr ti hn: F 05.0 (2; 8) = 4.46

    Fqs= 1.172103 < F 05.0 (2; 8) = 4.46 FqsW cha c c s bc b H0

    Vy vi mc ngha = 0.05 m hnh ch nh ng.

    3.5. Kim nh phn b chun Ui

    Dng phn mm Eviews ta c

    kim tra m hnh ban u sai s ngu nhin U c phn b chun hay

    khng ta dng tiu chun kim nh Jarque-Bera.

    - Ta i kim nh cp gi thuyt sau:

    H0: m hnh c sai s ngu nhin phn phi chun

    H1: m hnh c sai s ngu nhin khng phn phi chun- Tiu chun kim nh:

    SV: L Mnh Linh Lp: K43/05.019

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    Bo co thc hnh Kinh t lng

    JB= n(24

    )(

    6

    22 SkS + ) ~ )2(2

    - Min bc b: W={JB, JB > )2(2 }

    T kt qu bo co ta thu c JBqs = 0.635145Vi =0.05, )2(205.0 = 5.99147 > JBqs= 0.635145 JB W , cha c c

    s bc b H0.

    Vy sai s ngu nhin c phn phi chun.

    4. Khc phc hin tng a cng tuyn trong m hnh

    4.1 khc phc hin tng a cng tuyn trong m hnh ta c th s dng

    phng php b bin, gi s b bin IM ta c:

    Dependent Variable: GDP

    Method: Least Squares

    Date: 11/16/07 Time: 13:13

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    EX 1.549484 0.068121 22.74613 0.0000

    C 7.225318 1.081144 6.683033 0.0000

    R-squared 0.979182 Mean dependent var 28.07462

    Adjusted R-squared 0.977289 S.D. dependent var 13.71693

    S.E. of regression 2.067149 Akaike info criterion 4.430856

    Sum squared resid 47.00414 Schwarz criterion 4.517771

    Log likelihood -26.80056 F-statistic 517.3866

    Durbin-Watson stat 0.902206 Prob(F-statistic) 0.000000

    Ta thu c m hnh: GDPi = 7.225318 + 1.549484EXi +Vi (1)

    y l m hnh hi quy n nn hin tng a cng tuyn c khc phc.

    SV: L Mnh Linh Lp: K43/05.0110

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    Bo co thc hnh Kinh t lng

    *By gi ta xt xem m hnh mi c hin tng phng sai sai s thay

    i khng. Bng kim nh White vi m hnh (1) ta c:

    White Heteroskedasticity Test:

    F-statistic 1.975741 Prob. F(2,10) 0.189190

    Obs*R-squared 3.681994 Prob. Chi-Square(2) 0.158659

    Test Equation:

    Dependent Variable: RESID^2

    Method: Least Squares

    Date: 11/18/07 Time: 23:32

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    C 4.953425 2.912446 1.700779 0.1198

    EX -0.408376 0.411927 -0.991381 0.3449

    EX^2 0.016504 0.011801 1.398528 0.1922

    R-squared 0.283230 Mean dependent var 3.615703

    Adjusted R-squared 0.139876 S.D. dependent var 3.442130

    S.E. of regression 3.192329 Akaike info criterion 5.358553

    Sum squared resid 101.9097 Schwarz criterion 5.488926

    Log likelihood -31.83059 F-statistic 1.975741

    Durbin-Watson stat 1.952171 Prob(F-statistic) 0.189190

    Ta i kim nh cp gi thuyt sau:

    Ho:M hnh (1) c phng sai sai s khng thay i

    H1: M hnh (1) c phng sai sai s thay i

    - Tiu chun kim nh : 2 =n R2w~2 (2)

    - Min bc b :W={ 2 : 2 > 2 (2)}

    Gi tr ca thng k quan st: 2qs = nR2w = 13. 0,28323 = 3,682

    Vi = 0,05 ; m = 2 ta tm c 2 0.05(2) = 5,99147

    Ta thy 2qs = 3,682 < 2 0.05(2) = 5,99147 tc l2qs W => cha c c s bc b Ho

    Vy vi mc ngha =0.05 m hnh cho c phng sai sai s khng i.

    SV: L Mnh Linh Lp: K43/05.0111

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    Bo co thc hnh Kinh t lng

    *Ta xt xem m hnh (1) c t tng quan khng. Bng kim nh

    BG thc hin trn phn mm Eviews ta c:

    Breusch-Godfrey Serial Correlation LM Test:

    F-statistic 2.807500 Prob. F(1,10) 0.124761

    Obs*R-squared 2.849697 Prob. Chi-Square(1) 0.091391

    Test Equation:

    Dependent Variable: RESID

    Method: Least Squares

    Date: 11/18/07 Time: 23:49

    Sample: 1993 2005

    Included observations: 13

    Presample missing value lagged residuals set to zero.

    Variable Coefficient Std. Error t-Statistic Prob.

    EX -0.059985 0.072575 -0.826520 0.4278

    C 0.648795 1.074171 0.603996 0.5593

    RESID(-1) 0.621914 0.371168 1.675559 0.1248

    R-squared 0.219207 Mean dependent var -3.25E-15

    Adjusted R-squared 0.063049 S.D. dependent var 1.979144

    S.E. of regression 1.915737 Akaike info criterion 4.337256

    Sum squared resid 36.70049 Schwarz criterion 4.467629

    Log likelihood -25.19216 F-statistic 1.403750

    Durbin-Watson stat 1.503565 Prob(F-statistic) 0.290187

    Ta thu c m hnh:et = 0.648759 0.059985 EXt + 0.621914.et-1 + Vt

    Ta thu c RBG2 = 0.219207

    Ta tin hnh kim nh cp gi thuyt sau:

    Ho : M hnh khng c t tng quan

    H1: M hnh c t tng quan

    - Tiu chun kim nh : 2 =(n-2)R2BG ~2 (1)

    - Min bc b: W={ 2 : ( )1205.02 > }

    Gi tr thng k quan st : 2qs = 11. 0,219207 = 2,411277

    Gi tr ti hn: )1(205.0 =3.841462qs = 2,411277 cha c c s bc b H0

    Vy vi mc ngha = 0.05, c th cho rng m hnh khng c ttng quan.

    SV: L Mnh Linh Lp: K43/05.0112

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    Bo co thc hnh Kinh t lng

    *Kim nh tnh phn b chun ca Ui

    kim tra m hnh ban u sai s ngu nhin U c phn b chun hay

    khng ta dng tiu chun kim nh Jarque-Bera.

    - Ta i kim nh cp gi thuyt sau:

    H0: m hnh c sai s ngu nhin phn phi chun

    H1: m hnh c sai s ngu nhin khng phn phi chun

    - Tiu chun kim nh:

    JB= n(24

    )(

    6

    22 SkS + ) ~ )2(2

    - Min bc b: W={JB, JB > )2(2 }

    T kt qu bo co ta thu c JBqs = 0.763405

    Vi =0.05, )2(205.0 = 5.99147 > JBqs= 0.763405 JB W , cha c c

    s bc b H0.

    Vy sai s ngu nhin c phn phi chun.4.2. Khc phc hin tng a cng tuyn bng phng php s dng thng

    tin tin nghim

    C thng tin cho rng 3 = - 0.1 2. Ta tin hnh hi quy m hnh:

    GDPi = 1 + 2 . Xi + ui (1)

    Trong Xi = EXi 0.1 IMi

    SV: L Mnh Linh Lp: K43/05.0113

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    Bo co thc hnh Kinh t lng

    Dng phn mm Eviews hi quy ta c:

    Dependent Variable: GDP

    Method: Least Squares

    Date: 11/21/07 Time: 16:43

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    C 7.401611 1.072031 6.904290 0.0000

    X 1.745437 0.076552 22.80055 0.0000

    R-squared 0.979279 Mean dependent var 28.07462

    Adjusted R-squared 0.977395 S.D. dependent var 13.71693

    S.E. of regression 2.062317 Akaike info criterion 4.426176

    Sum squared resid 46.78468 Schwarz criterion 4.513091

    Log likelihood -26.77014 F-statistic 519.8652

    Durbin-Watson stat 0.991015 Prob(F-statistic) 0.000000

    Ta c m hnh: GDPi = 7.401611 + 1.745437 Xi + ei (1)

    y l m hnh hi qui n nn khng c hin tng a cng tuyn.

    By gi ta xt xem m hnh c hin tng phng sai sai s thay i v t

    tng quan hay khng.

    * Xt hin tng phng sai sai s thay i bng kim nh White:

    Hi qui m hnh sau:

    e2i = 1 + 2 Xi + 3 X2i + Vt

    SV: L Mnh Linh Lp: K43/05.0114

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    Bo co thc hnh Kinh t lng

    Bng phn mm Eviews ta thu c kt qu bo co:

    White Heteroskedasticity Test:

    F-statistic 1.975151 Prob. F(2,10) 0.189270

    Obs*R-squared 3.681206 Prob. Chi-Square(2) 0.158722

    Test Equation:

    Dependent Variable: RESID^2

    Method: Least Squares

    Date: 11/21/07 Time: 17:13

    Sample: 1993 2005

    Included observations: 13

    Variable Coefficient Std. Error t-Statistic Prob.

    C 4.878736 3.094476 1.576595 0.1460X -0.477663 0.497019 -0.961054 0.3592

    X^2 0.022322 0.016178 1.379741 0.1977

    R-squared 0.283170 Mean dependent var 3.598821

    Adjusted R-squared 0.139804 S.D. dependent var 3.747798

    S.E. of regression 3.475961 Akaike info criterion 5.528793

    Sum squared resid 120.8231 Schwarz criterion 5.659166

    Log likelihood -32.93716 F-statistic 1.975151

    Durbin-Watson stat 2.029429 Prob(F-statistic) 0.189270

    Ta thu c m hnh: e2i = 4.878736 0.477663 Xi + 0.022322 X2i + VtThu c R22 = 0.28317

    - kim nh hin tng phng sai sai s thay i trong m hnh hi quy

    ban u ta i kim nh cp gi thuyt sau:

    Ho:M hnh (1) c phng sai sai s khng thay i

    H1: M hnh (1) c phng sai sai s thay i

    - Tiu chun kim nh : 2 =n R22 ~2 (2)

    - Min bc b :W={ 2 : 2 > 2 (2)}

    Gi tr ca thng k quan st: 2qs = n R22 = 13. 0.28317 = 3.68121

    Vi = 0.05, n = 13 ta tm c gi tr ti hn 2 0.05(2) = 5.99147

    Ta thy m hnh trn c 3.68121 = 2qs < 2 0.05(5) = 5.99147 tc l2qs W => cha c c s bc b Ho

    Vy vi mc ngha =0.05 m hnh cho c phng sai sai s khng i.

    *Kim tra hin tng t tng quan ca m hnh trn bng kim nh BGet = 1 + 2Xt + 3 et-1 + t

    SV: L Mnh Linh Lp: K43/05.0115

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    Bo co thc hnh Kinh t lng

    Breusch-Godfrey Serial Correlation LM Test:

    F-statistic 1.971657 Prob. F(1,10) 0.190560

    Obs*R-squared 2.141018 Prob. Chi-Square(1) 0.143407

    Test Equation:

    Dependent Variable: RESID

    Method: Least Squares

    Date: 11/21/07 Time: 17:32

    Sample: 1993 2005

    Included observations: 13

    Presample missing value lagged residuals set to zero.

    Variable Coefficient Std. Error t-Statistic Prob.

    C 0.594544 1.111420 0.534941 0.6044

    X -0.062249 0.085732 -0.726091 0.4844

    RESID(-1) 0.551419 0.392704 1.404157 0.1906

    R-squared 0.164694 Mean dependent var 5.47E-16

    Adjusted R-squared -0.002368 S.D. dependent var 1.974518

    S.E. of regression 1.976854 Akaike info criterion 4.400065

    Sum squared resid 39.07953 Schwarz criterion 4.530438

    Log likelihood -25.60042 F-statistic 0.985828

    Durbin-Watson stat 1.462842 Prob(F-statistic) 0.406657

    Ta thu c m hnh et = 0.594544 0.062249Xt + 0.551419 et-1 + t

    Thu c RBG2 = 0.164694

    - kim nh hin tng t tng quan trong m hnh hi quy ban u ta tin

    hnh kim nh cp gi thuyt sau:

    Ho : M hnh khng c t tng quan

    H1: M hnh c t tng quan

    - Tiu chun kim nh : 2 =(n-2) R2BG ~2 (1)

    - Min bc b: W={ 2 : )1(205.02 > }

    Gi tr thng k quan st : 2qs = 11. 0.164694 = 1.81634

    Gi tr ti hn: )1(205.0 =3.841462qs =1.81634 cha c c s bc b H0

    Vy vi mc ngha = 0.05, c th cho rng m hnh khng c t tng quan.

    SV: L Mnh Linh Lp: K43/05.0116

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    Bo co thc hnh Kinh t lng

    *Kim tra tnh phn b chun ca Ui

    Dng Eviews ta c

    kim tra m hnh ban u sai s ngu nhin U c phn b chun hay

    khng ta dng tiu chun kim nh Jarque-Bera.

    - Ta i kim nh cp gi thuyt sau:

    H0: m hnh c sai s ngu nhin phn phi chun

    H1: m hnh c sai s ngu nhin khng phn phi chun- Tiu chun kim nh:

    JB= n(24

    )(

    6

    22 SkS + ) ~ )2(2

    - Min bc b: W={JB, JB > )2(2 }

    T kt qu bo co ta thu c JBqs = 0.58045

    Vi =0.05, )2(205.0 = 5.99147 > JBqs= 0.58045 JB W , cha c c

    s bc b H0.Vy sai s ngu nhin c phn phi chun.

    SV: L Mnh Linh Lp: K43/05 0117