REGRESION MUANIGOBIERNO REGIONAL DE PUNO GERENCIA GENERAL REGIONAL

REGRECION LINEAL MULTIPLE - MUANI

y=log(I)x1=log(T)x2=log(t)y^2x1^2x2^2yx1yx2x1x21.821.541.18321.383221.731.481.18321.383221.711.401.18321.382221.691.301.18321.382221.621.181.18311.382211.601.001.18311.382211.600.881.18311.381211.600.781.18311.381211.590.701.18301.381211.590.631.18301.381211.590.571.18301.381211.570.521.18201.381211.560.481.18201.381211.550.441.18201.381211.550.401.18201.381201.550.361.18201.381201.530.331.18201.381201.520.301.18201.380201.520.271.18201.380201.500.251.18201.380201.490.221.18201.380201.490.201.18201.380201.480.181.18201.380201.470.161.18201.380201.440.131.18201.380201.420.111.18201.380201.420.101.18201.380201.420.081.18201.380201.380.061.18201.380201.350.051.18201.380201.340.031.18201.380201.330.011.18201.380201.601.541.48322.182221.501.481.48222.182221.491.401.48222.182221.461.301.48222.182221.401.181.48212.182221.371.001.48212.181211.370.881.48212.181211.370.781.48212.181211.360.701.48202.181211.360.631.48202.181211.360.571.48202.181211.350.521.48202.181211.330.481.48202.181211.320.441.48202.181211.320.401.48202.181211.320.361.48202.180211.310.331.48202.180201.300.301.48202.18020y=log(I)x1=log(T)x2=log(t)y^2x1^2x2^2yx1yx2x1x21.290.271.48202.180201.270.251.48202.180201.270.221.48202.180201.260.201.48202.180201.250.181.48202.180201.250.161.48202.180201.220.131.48102.180201.200.111.48102.180201.200.101.48102.180201.190.081.48102.180201.150.061.48102.180201.130.051.48102.180201.120.031.48102.180201.100.011.48102.180201.371.541.78223.162231.281.481.78223.162231.261.401.78223.162221.241.301.78223.162221.171.181.78113.161221.151.001.78113.161221.150.881.78113.161221.150.781.78113.161211.140.701.78103.161211.140.631.78103.161211.130.571.78103.161211.120.521.78103.161211.110.481.78103.161211.100.441.78103.160211.100.401.78103.160211.090.361.78103.160211.080.331.78103.160211.070.301.78103.160211.070.271.78103.160201.040.251.78103.160201.040.221.78103.160201.040.201.78103.160201.030.181.78103.160201.020.161.78103.160200.990.131.78103.160200.970.111.78103.160200.970.101.78103.160200.960.081.78103.160200.930.061.78103.160200.900.051.78103.160200.890.031.78103.160200.880.011.78103.160201.151.542.08124.322231.051.482.08124.322231.041.402.08124.321231.011.302.08124.321230.941.182.08114.32122y=log(I)x1=log(T)x2=log(t)y^2x1^2x2^2yx1yx2x1x20.921.002.08114.321220.920.882.08114.321220.920.782.08114.321220.910.702.08104.321210.910.632.08104.321210.910.572.08104.321210.890.522.08104.320210.880.482.08104.320210.870.442.08104.320210.870.402.08104.320210.870.362.08104.320210.850.332.08104.320210.840.302.08104.320210.840.272.08104.320210.820.252.08104.320210.810.222.08104.320200.810.202.08104.320200.800.182.08104.320200.790.162.08104.320200.770.132.08104.320200.750.112.08104.320200.750.102.08104.320200.740.082.08104.320200.700.062.08004.320100.670.052.08004.320100.660.032.08004.320100.650.012.08004.320101.011.542.26125.092230.921.482.26125.091230.901.402.26125.091230.881.302.26125.091230.811.182.26115.091230.791.002.26115.091220.790.882.26115.091220.790.782.26115.091220.780.702.26105.091220.780.632.26105.090210.780.572.26105.090210.760.522.26105.090210.750.482.26105.090210.740.442.26105.090210.740.402.26105.090210.740.362.26105.090210.720.332.26105.090210.710.302.26105.090210.710.272.26105.090210.690.252.26005.090210.680.222.26005.090210.680.202.26005.090200.670.182.26005.090200.660.162.26005.09010y=log(I)x1=log(T)x2=log(t)y^2x1^2x2^2yx1yx2x1x20.640.132.26005.090100.620.112.26005.090100.610.102.26005.090100.610.082.26005.090100.570.062.26005.090100.540.052.26005.090100.530.032.26005.090100.520.012.26005.090100.921.542.38125.671240.821.482.38125.671240.811.402.38125.671230.791.302.38125.671230.721.182.38115.671230.691.002.38015.671220.690.882.38015.671220.690.782.38015.671220.690.702.38005.670220.680.632.38005.670220.680.572.38005.670210.670.522.38005.670210.660.482.38005.670210.650.442.38005.670210.640.402.38005.670210.640.362.38005.670210.630.332.38005.670110.620.302.38005.670110.620.272.38005.670110.590.252.38005.670110.590.222.38005.670110.590.202.38005.670100.580.182.38005.670100.570.162.38005.670100.540.132.38005.670100.520.112.38005.670100.520.102.38005.670100.510.082.38005.670100.480.062.38005.670100.450.052.38005.670100.440.032.38005.670100.430.012.38005.670101969735722288698108338180

N observaciones192media y1.0205664565varianza y0.1153461581Desv. Tip. y0.3396264979media x10.5039978827varianza x10.2053468861Desv. Tip. x10.4531521666media x21.8576714595varianza x20.1826490821Desv. Tip. x20.4273746391

Cov (Y ; X1)0.0474119947Cov (Y ; X2)-0.1370050149Cov (X1 ; X2)0

r(y ; x1)0.3080651698r(y ; x2)-0.9439003574r(x1 ; x2)0

Matriz [X'X]Nsum(x1)sum(x2)19297357sum(x1)sum(x1^2)sum(x1x2)9788180sum(x2)sum(x1x2)sum(x2^2)357180698

Matriz [X'X]^(-1)123det:265466.24183891710.1100564729-0.0127831935-0.05297246542-0.01278319350.0253635857-03-0.0529724654-00.0285155188

Vector [X'y]sum(y)196sum(yx1)108sum(yx2)338

Vector b=[X'X]^(-1) [X'y]a02.2976382.2976384658k=198.444a10.230887m=0.231a2-0.750100n=0.750

Varianza Explicada o debida a la regresin = b' x' y / N - (media y)^2SR^20.11

Varianza residual = ( y' y - b' x' y ) / NSr^20.00Coeficiciente de determinacin lineal multipler^298.5852%Coeficiciente de correlacin lineal multipler99.2901%

REGRESION ANANEAGOBIERNO REGIONAL DE PUNOGERENCIA GENERAL REGIONAL

REGRECION MULTIPLE - ANANEA

y=log(I)x1=log(T)x2=log(t)y^2x1^2x2^2yx1yx2x1x21.531.541.18221.382221.511.481.18221.382221.501.401.18221.382221.481.301.18221.382221.481.181.18211.382211.461.001.18211.381211.460.881.18211.381211.390.781.18211.381211.390.701.18201.381211.390.631.18201.381211.380.571.18201.381211.370.521.18201.381211.370.481.18201.381211.360.441.18201.381211.340.401.18201.381201.330.361.18201.380201.320.331.18201.380201.320.301.18201.380201.320.271.18201.380201.310.251.18201.380201.310.221.18201.380201.300.201.18201.380201.290.181.18201.380201.290.161.18201.380201.270.131.18201.380101.270.111.18201.380101.250.101.18201.380101.250.081.18201.380101.240.061.18201.380101.190.051.18101.380101.190.031.18101.380101.170.011.18101.380101.311.541.48222.182221.281.481.48222.182221.271.401.48222.182221.261.301.48222.182221.251.181.48212.181221.231.001.48212.181211.230.881.48212.181211.170.781.48112.181211.160.701.48102.181211.160.631.48102.181211.150.571.48102.181211.140.521.48102.181211.140.481.48102.181211.140.441.48102.180211.120.401.48102.180211.110.361.48102.180211.100.331.48102.180201.090.301.48102.18020y=log(I)x1=log(T)x2=log(t)y^2x1^2x2^2yx1yx2x1x21.090.271.48102.180201.090.251.48102.180201.080.221.48102.180201.070.201.48102.180201.070.181.48102.180201.060.161.48102.180201.050.131.48102.180201.050.111.48102.180201.030.101.48102.180201.030.081.48102.180201.010.061.48102.180100.970.051.48102.180100.960.031.48102.180100.950.011.48102.180101.081.541.78123.162231.061.481.78123.162231.041.401.78123.161221.031.301.78123.161221.031.181.78113.161221.011.001.78113.161221.010.881.78113.161220.940.781.78113.161210.940.701.78103.161210.940.631.78103.161210.920.571.78103.161210.920.521.78103.160210.920.481.78103.160210.910.441.78103.160210.890.401.78103.160210.880.361.78103.160210.870.331.78103.160210.860.301.78103.160210.860.271.78103.160200.860.251.78103.160200.860.221.78103.160200.850.201.78103.160200.840.181.78103.160100.840.161.78103.160100.820.131.78103.160100.820.111.78103.160100.800.101.78103.160100.800.081.78103.160100.790.061.78103.160100.740.051.78103.160100.740.031.78103.160100.720.011.78103.160100.861.542.08124.321230.831.482.08124.321230.821.402.08124.321230.811.302.08124.321230.801.182.08114.321220.781.002.08114.32122y=log(I)x1=log(T)x2=log(t)y^2x1^2x2^2yx1yx2x1x20.780.882.08114.321220.710.782.08114.321120.710.702.08104.320110.710.632.08104.320110.700.572.08004.320110.690.522.08004.320110.690.482.08004.320110.680.442.08004.320110.670.402.08004.320110.650.362.08004.320110.650.332.08004.320110.640.302.08004.320110.640.272.08004.320110.640.252.08004.320110.630.222.08004.320100.620.202.08004.320100.620.182.08004.320100.610.162.08004.320100.590.132.08004.320100.590.112.08004.320100.580.102.08004.320100.580.082.08004.320100.560.062.08004.320100.520.052.08004.320100.510.032.08004.320100.490.012.08004.320100.721.542.26125.091230.701.482.26025.091230.691.402.26025.091230.671.302.26025.091230.671.182.26015.091230.651.002.26015.091120.650.882.26015.091120.580.782.26015.090120.580.702.26005.090120.580.632.26005.090110.570.572.26005.090110.560.522.26005.090110.560.482.26005.090110.550.442.26005.090110.540.402.26005.090110.520.362.26005.090110.510.332.26005.090110.510.302.26005.090110.510.272.26005.090110.500.252.26005.090110.500.222.26005.090110.490.202.26005.090100.480.182.26005.090100.480.162.26005.090100.460.132.26005.090100.460.112.26005.09010y=log(I)x1=log(T)x2=log(t)y^2x1^2x2^2yx1yx2x1x20.440.102.26005.090100.440.082.26005.090100.430.062.26005.090100.380.052.26005.090100.380.032.26005.090100.360.012.26005.090100.411.542.38025.671140.411.482.38025.671140.561.402.38025.671130.351.302.38025.670130.391.182.38015.670130.371.002.38015.670120.470.882.38015.670120.400.782.38015.670120.430.702.38005.670120.420.632.38005.670120.370.572.38005.670110.590.522.38005.670110.290.482.38005.670110.630.442.38005.670110.480.402.38005.670110.490.362.38005.670110.350.332.38005.670110.270.302.38005.670110.410.272.38005.670110.390.252.38005.670110.440.222.38005.670110.330.202.38005.670100.290.182.38005.670100.470.162.38005.670100.460.132.38005.670100.550.112.38005.670100.410.102.38005.670100.460.082.38005.670100.490.062.38005.670100.600.052.38005.670100.580.032.38005.670100.580.012.38005.67010160973571558869887271180

N observaciones192media y0.833585331varianza y0.1116806669Desv. Tip. y0.3341865749media x10.5039978827varianza x10.2053468861Desv. Tip. x10.4531521666media x21.8576714595varianza x20.1826490821Desv. Tip. x20.4273746391

Cov (Y ; X1)0.0328215633Cov (Y ; X2)-0.1369985847Cov (X1 ; X2)0

r(y ; x1)0.2167335792r(y ; x2)-0.9592202406r(x1 ; x2)0

Matriz [X'X]Nsum(x1)sum(x2)19297357sum(x1)sum(x1^2)sum(x1x2)9788180sum(x2)sum(x1x2)sum(x2^2)357180698

Matriz [X'X]^(-1)123det:265466.24183891710.1100564729-0.0127831935-0.05297246542-0.01278319350.0253635857-03-0.0529724654-00.0285155188

Vector [X'y]sum(y)160sum(yx1)87sum(yx2)271

Vector b=[X'X]^(-1) [X'y]a02.1464022.1464023029k=140.088a10.159835m=0.160a2-0.750064n=0.750

Varianza Explicada o debida a la regresin = b' x' y / N - (media y)^2SR^20.11

Varianza residual = ( y' y - b' x' y ) / NSr^20.00Coeficiciente de determinacin lineal multipler^296.7077%Coeficiciente de correlacin lineal multipler98.3401%