problema 11.15 wapole
DESCRIPTION
Resolución problema estadísticaTRANSCRIPT
Problema 11.15 WapoleRemítase al ejercicio 11.1 de la página 398
Fuerza Levantamiento
Individual del brazo, x dinámico, y xi*yi ŷ1 17.3 71.7 299.29 5,140.89 1,240.4 74.23 6.41 0.28
2 19.3 48.3 372.49 2,332.89 932.2 75.35 731.95 31.823 19.5 88.3 380.25 7,796.89 1,721.9 75.47 164.69 7.164 19.7 75.0 388.09 5,625.00 1,477.5 75.58 0.34 0.015 22.9 91.7 524.41 8,408.89 2,099.9 77.37 205.24 8.926 23.1 100.0 533.61 10,000.00 2,310.0 77.49 506.88 22.047 26.4 73.3 696.96 5,372.89 1,935.1 79.34 36.44 1.588 26.8 65.0 718.24 4,225.00 1,742.0 79.56 212.03 9.229 27.6 75.0 761.76 5,625.00 2,070.0 80.01 25.10 1.09
10 28.1 88.3 789.61 7,796.89 2,481.2 80.29 64.15 2.7911 28.2 68.3 795.24 4,664.89 1,926.1 80.35 145.12 6.3112 28.7 96.7 823.69 9,350.89 2,775.3 80.63 258.34 11.2313 29.0 76.7 841.00 5,882.89 2,224.3 80.80 16.77 0.7314 29.6 78.3 876.16 6,130.89 2,317.7 81.13 8.02 0.3515 29.9 60.0 894.01 3,600.00 1,794.0 81.30 453.69 19.7316 29.9 71.7 894.01 5,140.89 2,143.8 81.30 92.16 4.0117 30.3 85.0 918.09 7,225.00 2,575.5 81.52 12.08 0.5318 31.3 85.0 979.69 7,225.00 2,660.5 82.09 8.50 0.3719 36.0 88.3 1,296.00 7,796.89 3,178.8 84.72 12.81 0.5620 39.5 100.0 1,560.25 10,000.00 3,950.0 86.68 177.30 7.7121 40.4 100.0 1,632.16 10,000.00 4,040.0 87.19 164.11 7.14
22 44.3 100.0 1,962.49 10,000.00 4,430.0 89.38 112.85 4.9123 44.6 91.7 1,989.16 8,408.89 4,089.8 89.55 4.64 0.2024 50.4 100.0 2,540.16 10,000.00 5,040.0 92.80 51.86 2.2525 55.9 71.7 3,124.81 5,140.89 4,008.0 95.88 584.83 25.43
x2 y2 (yi-ŷ)2 (yi-ŷ)2/n-2
a) Evalúe s2
s2=
1
n
iix
1
n
iiy
1
xy
0
y
n
i
ii
n
yys
1
22
2
)ˆ(
nivel de significancia de 0.05, e interprete la desición resultante.
Sxx= 2,336.68 Sxy= 1310.64Syy= 4,791.46 SSE= 4056.324917σ2= 176.3619529
T0= 2.04 .
b) Pruebe la hipótesis de que β1=0 en comparación con la alternativa de que β≠0 a un
xxS
T2
0,110
ˆ
ˆ
778.7
2,050.0
0.56089779
31.1 82.0
64.53
64.53+0.56x
176.36
1
n
iix
1
n
iiy
1
y
0
y
n
i
ii
n
yys
1
22
2
)ˆ(
778.7
2050
64.53+0.56x0.56089779
31.14882
64.5291556 176.361953
a) Evalúe s2
s2=
1
n
iix
1
n
iiy
1
xy
0
y
n
i
ii
n
yys
1
22
2
)ˆ(