Regresion Linel Simple
3
Observación X Y X2 XY Ei 1 2 146.9 4 293.8 124.6392 22.261 2 1.5 106.2 2.25 159.3 116.8150 -10.615 3 2.4 133.9 5.76 321.36 130.8986 3.001 4 3 144.5 9 433.5 140.2878 4.212 5 3.3 146.9 10.89 484.77 144.9823 1.918 6 2.2 146.8 4.84 322.96 127.7689 19.031 7 1 101.4 1 101.4 108.9907 -7.591 8 1.5 117.1 2.25 175.65 116.8150 0.285 9 2 131.9 4 263.8 124.6392 7.261 10 3 134.3 9 402.9 140.2878 -5.988 11 1.5 117.4 2.25 176.1 116.8150 0.585 12 2.8 145.2 7.84 406.56 137.1581 8.042 13 2.8 125.1 7.84 350.28 137.1581 -12.058 14 2.5 111.3 6.25 278.25 132.4635 -21.163 15 3.2 143.7 10.24 459.84 143.4175 0.283 16 2.5 123 6.25 307.5 132.4635 -9.463 Totales 37.2 2075.6 93.66 4937.97 0.00 Promedios 2.325 129.725 n Sxx Sxy 16 7.1700 112.2000 15.6485 93.3422 135.36030783 Y est = 93.3422 + 15.6485 SCR= 1755.7657 Tabla de analisis de Vari SCT = 3650.810 0.480925 Regresión 1755.76569 1 Syy= 272821.53 Residual 272908.02 14 0.9925578 Total 3650.81 15 0.05 0.95 0.025 2.1447867 Yest b1 b0 S 2 Xi Fuente de variació n Suma de cuadrados Grados de libertad R 2 = R 2 ajust a = 1-a = a/2 = ta/2,n-2 =
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Ejemplo regresión lineal simple
Transcript of Regresion Linel Simple
Observación X Y X2 XY Ei1 2 146.9 4 293.8 124.6392 22.261 495.5422 1.5 106.2 2.25 159.3 116.8150 -10.615 112.6773 2.4 133.9 5.76 321.36 130.8986 3.001 9.0084 3 144.5 9 433.5 140.2878 4.212 17.7435 3.3 146.9 10.89 484.77 144.9823 1.918 3.6776 2.2 146.8 4.84 322.96 127.7689 19.031 362.1827 1 101.4 1 101.4 108.9907 -7.591 57.6198 1.5 117.1 2.25 175.65 116.8150 0.285 0.0819 2 131.9 4 263.8 124.6392 7.261 52.719
10 3 134.3 9 402.9 140.2878 -5.988 35.85311 1.5 117.4 2.25 176.1 116.8150 0.585 0.34212 2.8 145.2 7.84 406.56 137.1581 8.042 64.67313 2.8 125.1 7.84 350.28 137.1581 -12.058 145.39714 2.5 111.3 6.25 278.25 132.4635 -21.163 447.89315 3.2 143.7 10.24 459.84 143.4175 0.283 0.08016 2.5 123 6.25 307.5 132.4635 -9.463 89.558
Totales 37.2 2075.6 93.66 4937.97 0.00 1895.044Promedios 2.325 129.725
n Sxx Sxy16 7.1700 112.2000 15.6485 93.3422 135.36030783
Y est = 93.3422 + 15.6485
SCR= 1755.7657 Tabla de analisis de Varianza (ANDEVA o ANoVA)
SCT = 3650.810
0.480925 Regresión 1755.76569 1 1755.76569Syy= 272821.53 Residual 272908.02 14 19493.43
0.9925578 Total 3650.81 150.050.95
0.025
2.1447867
Yest Ei2
b1 b0 S2
Xi
Fuente de variación
Suma de cuadrados
Grados de libertad
Cuadrado medio
R2 =
R2 ajust
a =1-a =a/2 =
ta/2,n-2 =
Zi K ei Ordenadas Pk=(k-1)/n Pk*1001.91335077 21579.61 1 -1.81903769 0.03125 3.125
-0.91237341 11278.44 2 -1.03640995 0.09375 9.3750.2579719 17929.21 3 -0.91237341 0.15625 15.625
0.36204894 20880.25 4 -0.81340312 0.21875 21.8750.16482762 21579.61 5 -0.65243254 0.28125 28.1251.63575204 21550.24 6 -0.51465812 0.34375 34.375
-0.65243254 10281.96 7 -2.0983E-14 0.40625 40.6250.02449982 13712.41 8 0.02428404 0.46875 46.8750.62407568 17397.61 9 0.02449982 0.53125 53.125
-0.51465812 18036.49 10 0.05028532 0.59375 59.3750.05028532 13782.76 11 0.16482762 0.65625 65.6250.69121868 21083.04 12 0.2579719 0.71875 71.875
-1.03640995 15650.01 13 0.36204894 0.78125 78.125-1.81903769 12387.69 14 0.62407568 0.84375 84.3750.02428404 20649.69 15 0.69121868 0.90625 90.625
-0.81340312 15129 16 1.63575204 0.96875 96.8750.000 272908.02
Tabla de analisis de Varianza (ANDEVA o ANoVA)
0.09006961 4.60010994
Yi2
F0 F tablas
