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UNIVERSIDAD NACIONAL PEDRO RUIZ GALLO
Ingenieria en Computacion e Informativa
CURSO: METODOS DE PREDICCIN
DOCENTE: EMMA NOBLECILLA MONTEALEGRETRABAJO ELABORADO POR: VASQUEZ TAFUR ANDY YORSI
CICLO:2015-I
FECHA:LAMBAYEQUE, 18 DE JUNIO DEL 2012.
JULIO DEL 2015
Regresin MltiplepasN turistas entradosPBIDistancia
YX1X2
A1.83.11500
B2.54.21200
C0.72.73100
D1.232500
E1.941800
8.11710100
X0111111
X13.14.22.73417
X21500120031002500180010100
X1X2
13.11500
14.21200
12.73100
132500
141800
11710100
Y
1.8
2.5
0.7
1.2
1.9
8.1
6342020016.2
34348.54204460166.87
2020020446012480000096100
Inversa
0.374541547-0.02500953-1.965E-05B01941225771
-0.0250095260.075346093-0.00011939B119648664712
-1.96498E-05-0.000119392.06793E-07B21.19933E+13
pasN turistas entradosPBIDistanciay^E
YX1X2
A1.83.115001.799E+16-1.799E+163.23641E+32
B2.54.212001.43921E+16-1.43921E+162.07131E+32
C0.72.731003.71793E+16-3.71793E+161.3823E+33
D1.2325002.99833E+16-2.99833E+168.99001E+32
E1.9418002.1588E+16-2.1588E+164.66044E+32
8.117101001.21133E+17-1.21133E+171.46732E+34
11111
YX1X2X1X2X13.14.22.734
1.83.1150013.11500X215001200310025001800
2.54.2120014.21200
0.72.7310012.73100MATRIZ
INVERSA MATRIZ
1.2325001325005171010034.21-6.82-0.00535763
1.9418001418001759.5432760-6.821.440.00095254
10100327602E+07-0.011E-03.049E-06
Y'1.82.50.71.21.9
SUMA Y8.1y'y15.03
B01.606B'1.610.37-0n5SSRes0.014
B10.373p3SSR1.894
B2-6E-04B'X'Y15k2SST1.908
MSRes6E-04
fo >F(k,n-k-1)
14019
se rechaza la hipotesis nula,significa que al menos un 0
B1 Es el mayor
El PBI es la variable ms explicativa
X'Y
8.1 Fo=139.8
29.17
14290
R54.38
R22957
Radj-5870
Coeficiente de determinacion 98% (1-=0.98)
H0:B0 =0T0>T(/2,n-p)
Ha:B0 0425.5336651>6.965
T(/2,n-p)6.965
T0=425.533665Se rechaza la hipotesisi nula
2- YX1X2
alicate278696
almeria72971
baleares2461120
malaga206777
soria84580
tarragona5989
tenerife1743107
toledo93781
zamora31765
zaragoza3571102
X1X2
18696
12971
161120
16777
14580
1989
143107
13781
11765
171102
1111111111
X18629616745943371771
X296711207780891078165102
10465888155
46527101431409334
888431408154614907
3.10.00343691-0.03535124B0-17.597887
00.00023755-0.00016309B10.3187255
-0-0.000163090.0004835B20.20582377
Y
27
7
24
20
8
5
17
9
3
35
YX1X2Y^E-e^2i
27869629.5715885-2.571588526.61306751
729716.258640520.741359480.54961388
246112026.5432216-2.543221556.46797586
20677719.60515230.394847740.15590474
8458013.2106625-5.2106625327.151004
59893.588958421.411041581.99103835
174310718.1304534-1.130453441.27792498
9378110.8666823-1.866682293.48450276
317651.198991851.801008153.24363037
357110226.02564868.9743513780.5389825
4yx1x2X
183644.1x1x2
171594.21644.1
114145 3.9 1594.2
1251663.31145 3.9
17453311663.3
200482.61533
134954.21482.6
163503.51954.2
1503.5
y183171114125174200134163
X'11111111
x1645914516653489550
x24.14.2 3.9 3.332.64.23.5
MATRIZMATRIZ INVERSAX'Y
868028.85.36-0.003-1.41264
680727962481.3-07E-05-098783
292481106.2-1.39-9E-040.414500.9
B0249.3B'249.3-0.55-12.38
B1-0.55
B2-12.4
B0249.3B'249.3-0.55-12.38
B1-0.55
B2-12.4
y'y206152R11.2546769
B'X'Y205084SSRes1067.68R2126.667753
SSR5372.32Radj-146.934854
SST6440
Suma Y1264p3MSRes50.8417Fo12.5794944
n8k2
fo >F(k,n-k-1)
12.585.79
se rechaza la hipotesis nula,significa que almenos un 0
H0:B1 =0T0>T(/2,n-p)
Ha:B1 0-1.304688132T(/2,n-p)
Ha:B2 0-0.380759228F(k,n-k-1)MSRes123.565556
29.20231264.74
se rechaza la hipotesis nula,significa que almenos un 0
R5.40391642
R229.2023126
Radj-9.54583053
Fo1.36705211
-18.8463084
-12.8107865
3.89045661
Hipotesis (1-=0.95)
H0:B0 =0T0>T(/2,n-p)
Ha:B0 0-0.054266574T(/2,n-p)
Ha:B1 0-0.050913559T(/2,n-p)
Ha:B2 00.088047337F(k,n-k-1)
34.44893.07
se rechaza la hipotesis nula,significa que almenos un 0
X'.Y
515.52
130751.7
66459.91Hipotesis (1-=0.95)
1251.35H0:B1 =0T0>T(/2,n-p)
Ha:B1 0-4.85T(/2,n-p)
Ha:B0 019.66>3.47
T(/2,n-p)3.47
T0=19.66Se rechaza la hipotesisi nula
H0:B2 =0T0>T(/2,n-p)
Ha:B2 0-0.52T(/2,n-p)
Ha:B3 01.5554.53
Y'*Y-274.9184580.8405242171.955134
5960800
B'*X'*Y
5953484.35
Prubea de Hipotesis coeficientes individuales
HB = 0oo =0.05
HaB 0
T3.27483595
|T|>T(oo/2,n-p)
3.27483595>2.447
La hipotesis se rechaza
HB = 0oo =0.05
HaB 0
T1.73806204
|T|>T(oo/2,n-p)
1.73806204>2.447
La hipotesis no se rechaza
intervalo de confianza de los coeficientes de regresion
B
0.212473590.840524211.46857482
B
-29.349772671.955134173.260041
nyx1x2x3Normal X'
1128.42267128.4nx1x2x3
152.622203.37552.6212267128.4
1113.9217.46.375113.912203.37552.62
198.01220698.011217.46.375113.9
1139.9226.57.625139.91220698.01
1102.6224.16102.61226.57.625139.9
148.14220.53.37548.141224.16102.6
1109.6223.56.125109.61220.53.37548.14
182.68217.6582.681223.56.125109.6
1112.6228.56.625112.61217.6582.68
197.52230.25.7597.521228.56.625112.6
159.06226.53.7559.061230.25.7597.52
1111.8226.66.125111.81226.53.7559.06
189.09225.65.37589.091226.66.125111.8
1101229.75.8751011225.65.37589.09
1171.92348.875171.91229.75.875101
166.8230466.812348.875171.9
1157.1224.38157.11230466.8
1208.4240.510.87280.41224.38157.1
1133.4223.77.375133.41240.510.87280.4
2184.521223.77.375133.4
x' * yBrespuesta A
2184.52B0-22.55
495675.996B10.0059B'-230.0120.30.05
14904.0193B220.304
284336.409B30.045respuesta B
4444.74
MSR = 10151
MSRES = 17.044
y'128.452.6211498.01139.910348.1411082.711397.559.111289.110117266.8157208133
SST = 30725.227fuente de variacionsuma de cuadrados grados de libertadcuadrado medioF0
regresion30452.5310151596
SSR = 30452.518residuales272.711617.04
total30725.219
SSRes =272.70895
F0 = 1228.3341
F(k,n-k-1) = 3.24
9-Yx1x2x3x4x5x6Normal x
85.219.629.694.42.12.3nx2x3x4x5
8.35.219.832.489.72.11.8119.629.694.42.1
8.55.819.63196.222119.832.489.72.1
8.86.419.432.495.62.22.1119.63196.22
95.818.628.686.521.8119.432.495.62.2
9.35.218.830.684.52.12.1118.628.686.52
9.35.620.432.488.82.21.9118.830.684.52.1
9.561932.685.72.11.9120.432.488.82.2
9.85.220.832.293.62.32.111932.685.72.1
105.819.931.8862.11.8120.832.293.62.3
10.36.41832.68721.6119.931.8862.1
10.5620.633.493.12.12.111832.6872
10.86.220.231.883.42.22.1120.633.493.12.1
116.220.232.494.52.11.9120.231.883.42.2
11.36.219.231.483.41.91.8120.232.494.52.1
11.55.61733.285.22.12.1119.231.483.41.9
11.8619.835.484.121.811733.285.22.1
12.35.818.83486.22.11.8119.835.484.12
12.55.618.634.2831.92118.83486.22.1
192.5118.634.2831.9
Y
8
8.3
transpuesta x'8.5
11111111111111111118.8
19.619.819.619.418.618.820.41920.819.91820.620.220.219.21719.818.818.69
29.632.43132.428.630.632.432.632.231.832.633.431.832.431.433.235.43434.29.3
94.489.796.295.686.584.588.885.793.6868793.183.494.583.485.284.186.2839.3
2.12.122.222.12.22.12.32.122.12.22.11.92.122.11.99.5
9.8
10
10.3
10.5
10.8
x'*x