个因素与时间拟合图.docx

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个因素与时间拟合图.docx

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个因素与时间拟合图.docx

个因素与时间拟合图

城镇居民人均可支配收入与时间图的结果值:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=1149(931.4,1366)

p2=-2.292e+006(-2.727e+006,-1.856e+006)

Goodnessoffit:

SSE:

3.544e+006

R-square:

0.9571

AdjustedR-square:

0.951

RMSE:

711.5

税收与时间图的结果值:

LinearmodelPoly2:

f(x)=p1*x^2+p2*x+p3

Coefficients(with95%confidencebounds):

p1=347.3(289.5,405.1)

p2=-1.387e+006(-1.618e+006,-1.155e+006)

p3=1.384e+009(1.152e+009,1.615e+009)

Goodnessoffit:

SSE:

5.314e+007

R-square:

0.9903

AdjustedR-square:

0.9888

RMSE:

2022

人均GDP占有量与时间图的结果值:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=1746(1341,2152)

p2=-3.486e+006(-4.299e+006,-2.673e+006)

Goodnessoffit:

SSE:

1.236e+007

R-square:

0.9367

AdjustedR-square:

0.9277

RMSE:

1329

城市化率与时间图的结果值:

Generalmodel:

f(x)=a*x+b

Coefficients(with95%confidencebounds):

a=1.283(1.136,1.43)

b=-2530(-2824,-2237)

Goodnessoffit:

SSE:

37.15

R-square:

0.9555

AdjustedR-square:

0.9527

RMSE:

1.524

GDP时间图计算结果:

LinearmodelPoly2:

f(x)=p1*x^2+p2*x+p3

Coefficients(with95%confidencebounds):

p1=1174(858.6,1489)

p2=-4.68e+006(-5.94e+006,-3.419e+006)

p3=4.664e+009(3.403e+009,5.925e+009)

Goodnessoffit:

SSE:

3.388e+009

R-square:

0.9774

AdjustedR-square:

0.9744

RMSE:

1.503e+004

贷款利率与时间图计算结果:

LinearmodelPoly4:

f(x)=p1*x^4+p2*x^3+p3*x^2+p4*x+p5

Coefficients(with95%confidencebounds):

p1=-0.002333(-0.003327,-0.001339)

p2=18.68(10.73,26.63)

p3=-5.609e+004(-7.995e+004,-3.223e+004)

p4=7.485e+007(4.303e+007,1.067e+008)

p5=-3.746e+010(-5.338e+010,-2.154e+010)

Goodnessoffit:

SSE:

11.26

R-square:

0.9311

AdjustedR-square:

0.9099

RMSE:

0.9307

汇率与时间图计算结果:

LinearmodelPoly3:

f(x)=p1*x^3+p2*x^2+p3*x+p4

Coefficients(with95%confidencebounds):

p1=-0.2348(-0.308,-0.1616)

p2=1409(969.2,1848)

p3=-2.817e+006(-3.697e+006,-1.938e+006)

p4=1.878e+009(1.291e+009,2.465e+009)

Goodnessoffit:

SSE:

1229

R-square:

0.9659

AdjustedR-square:

0.9574

RMSE:

10.12

土地交易价格与时间图计算结果:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=127.1(108,146.2)

p2=-2.529e+005(-2.912e+005,-2.146e+005)

Goodnessoffit:

SSE:

7.079e+004

R-square:

0.9617

AdjustedR-square:

0.9574

RMSE:

88.69

房价与时间图计算结果:

LinearmodelPoly3:

f(x)=p1*x^3+p2*x^2+p3*x+p4

Coefficients(with95%confidencebounds):

p1=1.543(0.8945,2.191)

p2=-9250(-1.314e+004,-5359)

p3=1.849e+007(1.07e+007,2.627e+007)

p4=-1.232e+010(-1.751e+010,-7.126e+009)

Goodnessoffit:

SSE:

2.677e+005

R-square:

0.9839

AdjustedR-square:

0.9805

RMSE:

138.3

人均居住用地面积(m^2)与时间拟合结果:

jm=[53.5

52.4

51.5

49.9

55.6

47

55.7

36.1

50.2

51.6

];

>>t=[1996

1997

1998

1999

2000

2001

2002

2003

2004

2005

];

>>cftool

>>

住宅用地年供应量(亿m^2)与时间拟合结果:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=0.287(0.2496,0.3244)

p2=-568.9(-643.8,-494.1)

Goodnessoffit:

SSE:

2.415

R-square:

0.943

AdjustedR-square:

0.9394

RMSE:

0.3885

住房保障比例与时间拟合结果:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=-4.038(-5.173,-2.903)

p2=8132(5858,1.041e+004)

Goodnessoffit:

SSE:

96.72

R-square:

0.91

AdjustedR-square:

0.8972

RMSE:

3.717

恩格尔系数随时间拟合结果:

LinearmodelPoly3:

f(x)=p1*x^3+p2*x^2+p3*x+p4

Coefficients(with95%confidencebounds):

p1=0.007723(0.002588,0.01286)

p2=-46.28(-77.09,-15.46)

p3=9.244e+004(3.08e+004,1.541e+005)

p4=-6.155e+007(-1.027e+008,-2.044e+007)

Goodnessoffit:

SSE:

16.79

R-square:

0.973

AdjustedR-square:

0.9672

RMSE:

1.095

人均住宅消费支出(元)随时间拟合结果:

LinearmodelPoly2:

f(x)=p1*x^2+p2*x+p3

Coefficients(with95%confidencebounds):

p1=3.265(1.812,4.717)

p2=-1.301e+004(-1.883e+004,-7190)

p3=1.296e+007(7.131e+006,1.879e+007)

Goodnessoffit:

SSE:

8509

R-square:

0.9907

AdjustedR-square:

0.9888

RMSE:

29.17

房地产开发企业本年完成投资额(亿元)与时间:

LinearmodelPoly3:

f(x)=p1*x^3+p2*x^2+p3*x+p4

Coefficients(with95%confidencebounds):

p1=12.77(10.71,14.82)

p2=-7.643e+004(-8.878e+004,-6.407e+004)

p3=1.525e+008(1.278e+008,1.772e+008)

p4=-1.015e+011(-1.179e+011,-8.499e+010)

Goodnessoffit:

SSE:

2.699e+006

R-square:

0.9986

AdjustedR-square:

0.9983

RMSE:

439

造价费用(元/m^2)与时间:

LinearmodelPoly4:

f(x)=p1*x^4+p2*x^3+p3*x^2+p4*x+p5

Coefficients(with95%confidencebounds):

p1=-0.3928(-0.5193,-0.2663)

p2=3145(2133,4158)

p3=-9.445e+006(-1.248e+007,-6.406e+006)

p4=1.26e+010(8.55e+009,1.666e+010)

p5=-6.307e+012(-8.335e+012,-4.279e+012)

Goodnessoffit:

SSE:

4815

R-square:

0.9905

AdjustedR-square:

0.9858

RMSE:

24.53

 

房价随GDP拟合结果:

LinearmodelPoly2:

f(x)=p1*x^2+p2*x+p3

Coefficients(with95%confidencebounds):

p1=-1.042e-008(-2.074e-008,-1.031e-010)

p2=0.01412(0.01032,0.01792)

p3=790.1(522,1058)

Goodnessoffit:

SSE:

3.892e+005

R-square:

0.9766

AdjustedR-square:

0.9735

RMSE:

161.1

房价随城镇居民家庭人均可支配收入(元)拟合结果:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=0.221(0.203,0.2391)

p2=691(529.3,852.7)

Goodnessoffit:

SSE:

3.869e+005

R-square:

0.9768

AdjustedR-square:

0.9753

RMSE:

155.5

房价随城市化率拟合结果:

LinearmodelPoly3:

f(x)=p1*x^3+p2*x^2+p3*x+p4

Coefficients(with95%confidencebounds):

p1=2.055(1.492,2.618)

p2=-221.7(-284.9,-158.5)

p3=7970(5636,1.03e+004)

p4=-9.317e+004(-1.214e+005,-6.493e+004)

Goodnessoffit:

SSE:

3.006e+005

R-square:

0.982

AdjustedR-square:

0.9781

RMSE:

146.5

房价随贷款利率拟合结果:

房价随人均GDP占有量(元/人)拟合结果:

LinearmodelPoly2:

f(x)=p1*x^2+p2*x+p3

Coefficients(with95%confidencebounds):

p1=-3.392e-006(-5.547e-006,-1.236e-006)

p2=0.2269(0.1742,0.2796)

p3=557.7(291.1,824.2)

Goodnessoffit:

SSE:

2.583e+005

R-square:

0.9771

AdjustedR-square:

0.9738

RMSE:

135.8

房价随汇率拟合结果:

LinearmodelPoly5:

f(x)=p1*x^5+p2*x^4+p3*x^3+p4*x^2+p5*x+p6

Coefficients(with95%confidencebounds):

p1=2.36e-006(8.409e-007,3.878e-006)

p2=-0.009059(-0.01492,-0.003202)

p3=13.88(4.863,22.9)

p4=-1.061e+004(-1.754e+004,-3684)

p5=4.048e+006(1.392e+006,6.704e+006)

p6=-6.162e+008(-1.023e+009,-2.097e+008)

Goodnessoffit:

SSE:

4.8e+005

R-square:

0.9628

AdjustedR-square:

0.9442

RMSE:

219.1

房价随税收收入合计(亿元)拟合结果:

LinearmodelPoly2:

f(x)=p1*x^2+p2*x+p3

Coefficients(with95%confidencebounds):

p1=-1.665e-007(-5.243e-007,1.912e-007)

p2=0.05855(0.03481,0.0823)

p3=1362(1086,1637)

Goodnessoffit:

SSE:

4.342e+005

R-square:

0.9664

AdjustedR-square:

0.9612

RMSE:

182.8

房价随土地交易价格(元)拟合结果:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=0.007566(0.006427,0.008704)

p2=1990(1988,1992)

Goodnessoffit:

SSE:

4.213

R-square:

0.9617

AdjustedR-square:

0.9574

RMSE:

0.6842

房价随造价费用(元/m^2)拟合结果:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=3.141(2.633,3.65)

p2=-1530(-2179,-882.1)

Goodnessoffit:

SSE:

2.992e+005

R-square:

0.9438

AdjustedR-square:

0.9387

RMSE:

164.9

房价随房地产开发企业本年完成投资额(亿元)拟合结果:

LinearmodelPoly2:

f(x)=p1*x^2+p2*x+p3

Coefficients(with95%confidencebounds):

p1=-1.301e-006(-2.538e-006,-6.403e-008)

p2=0.1333(0.08976,0.1769)

p3=1289(1046,1532)

Goodnessoffit:

SSE:

8.281e+005

R-square:

0.9503

AdjustedR-square:

0.9437

RMSE:

235

房价随住房保障比例拟合结果:

LinearmodelPoly1:

f(x)=p1*x+p2

Coefficients(with95%confidencebounds):

p1=-62.68(-72.85,-52.5)

p2=5386(4984,5788)

Goodnessoffit:

SSE:

2.626e+005

R-square:

0.9618

AdjustedR-square:

0.9571

RMSE:

181.2

房价随住宅用地年供应量(亿m^2)拟合结果:

LinearmodelPoly6:

f(x)=p1*x^6+p2*x^5+p3*x^4+p4*x^3+p5*x^2+

p6*x+p7

Coefficients(with95%confidencebounds):

p1=10.68(-0.7604,22.12)

p2=-341.6(-705.8,22.64)

p3=4410(-295.8,9117)

p4=-2.932e+004(-6.085e+004,2199)

p5=1.056e+005(-9574,2.207e+005)

p6=-1.942e+005(-4.111e+005,2.258e+004)

p7=1.433e+005(-2.049e+004,3.071e+005)

Goodnessoffit:

SSE:

8.043e+005

R-square:

0.9517

AdjustedR-square:

0.9254

RMSE:

270.4

房价随恩格尔系数(%)拟合结果:

GeneralmodelGauss3:

f(x)=

a1*exp(-((x-b1)/c1)^2)+a2*exp(-((x-b2)/c2)^2)+

a3*exp(-((x-b3)/c3)^2)

Coefficients(with95%confidencebounds):

a1=2643(1426,3859)

b1=36.26(36.12,36.4)

c1=0.6962(0.3512,1.041)

a2=1941(777.9,3104)

b2=37.92(37.81,38.02)

c2=0.2014(0.06613,0.3368)

a3=2168(1755,2580)

b3=42.59(38.1,47.08)

c3=12.04(3.99,20.09)

Goodnessoffit:

SSE:

9.078e+005

R-square:

0.9455

AdjustedR-square:

0.8971

RMSE:

317.6

房价随人均住宅消费支出(元)拟合结果:

LinearmodelPoly2:

f(x)=p1*x^2+p2*x+p3

Coefficients(with95%confidencebounds):

p1=0.001876(-0.0001569,0.003909)

p2=0.1117(-3.127,3.35)

p3=1608(431.2,2786)

Goodnessoffit:

SSE:

4.893e+005

R-square:

0.9471

AdjustedR-square:

0.9365

RMSE:

221.2

人均居住用地面积:

 

clear

clc

x1=[1345.43

1418.31

1462.72

1584.12

1744.12

1902.84

2013.2

2260.82

2474

];

x2=[7858

8622

9398

10542

12336

14040

15931

18268

22675

];

x3=[36.22

37.66

39.09

40.53

41.76

42.99

43.9

44.94

45.68

];

x4=[6280

6859.6

7702.8

8472.2

9421.6

10493

11759.5

13785.8

15780.76

];

x5=[50.51

50.84

49.77

47.36

43.57

38.98

33

25.96

19.08

];

x=[ones(9,1),x1,x2,x3,x4,x5,x1.*x2,x4.^x5];

y=[2111.6

2169.7

2250.2

2359.5

2713.9

3167.7

3366.8

3

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