copia de promedio movil

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    numero de periodo k = 4

    Semana Error |Error|

    1 17

    2 21

    3 19

    4 23 23 23

    5 18 20.00 -2 2

    6 16 20.25 -4.25 4.25

    7 20 19.00 1 1

    8 18 19.25 -1.25 1.25

    9 22 18.00 4 4

    10 20 19.00 1 1

    11 15 20.00 -5 5

    12 22 18.75 3.25 3.25

    13 21 19.75 18.94 0.81

    14 20 19.75

    MAD 5.0 19.5

    MSE 8.2

    A!"ua#A"

    $ro%e!!ion&"

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    529

    4

    18.0625

    1

    1.5625

    16

    1

    25

    10.5625

    3.31

    Error2

    0 2 4 6 8 10 120

    5

    10

    15

    20

    25

    $romedio M'(i#

    A!"ua#A"

    $ro%e!!ion&"

    Semana

    )en"a* +,a#one*

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    14

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    k = 5

    Semana Error |Error|

    1 17

    2 21

    3 19

    4 23

    5 18

    6 16 19.9 3.87 3.87 14.95

    7 20 18.7 -1.33 1.33 1.78

    8 18 18.9 0.87 0.87 0.75

    9 22 18.5 -3.53 3.53 12.48

    10 20 19.5 -0.53 0.53 0.28

    11 15 19.9 4.87 4.87 23.68

    12 22 18.5 -3.53 3.53 12.48

    13 19.47

    MAD 2.6 $eriodo )a#or $e*o

    MSE 3.1 "-4 1 0.07

    "-3 2 0.13

    "-2 3 0.20

    "-1 4 0.27

    " 5 0.33

    15

    A!"ua#A"

    $ro%e!!ion&"

    Error2

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    20 0.2

    10 0.3

    30 0.5

    20 22.00

    10

    0 2 4 6 8 100

    5

    10

    15

    20

    25

    $romedio M'(i# $onderado

    A!"ua#A"

    $ro%e!!ion&"

    Semana

    )en"a* +,a#one*

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    12 14

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    CON K IMPAR

    k = 3

    Semana Error |Error|

    1 17

    2 21 19 2.00 2.00 4.00

    3 19 21 -2.00 3.00 4.00

    4 23 20 3.00 1.00 9.00

    5 18 19 -1.00 2.00 1.00

    6 16 18 -2.00 2.00 4.00

    7 20 18 2.00 2.00 4.00

    8 18 20 -2.00 2.00 4.00

    9 22 20 2.00 1.00 4.00

    10 20 19 1.00 4.00 1.00

    11 15 19 -4.00 0.00 16.00

    12 22

    13

    MAD 1.9

    MSE 2.3

    CON K PAR

    k = 4

    Semana Error |Error|

    1 17

    2 21

    3 19 20.125 -1.13 3.38 1.27

    4 23 19.625 3.38 1.13 11.39

    5 18 19.125 -1.13 2.63 1.27

    6 16 18.625 -2.63 1.50 6.89

    7 20 18.5 1.50 1.50 2.25

    8 18 19.5 -1.50 2.63 2.25

    9 22 19.375 2.63 0.75 6.89

    10 20 19.25 0.75 0.00 0.56

    11 15

    12 22

    13

    MAD 1.7

    MSE 2.0

    A!"ua#A"

    $ro%e!!ion&"

    Error2

    A!"ua#A" $ro%e!!ion&" Error2

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    0 2 4 6 8 100

    5

    10

    15

    20

    25

    $romedio M'(i# .en"rado

    A!"ua#A"

    $ro%e!!ion&"

    Semana

    )en"a* +,a#one*

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    12 14

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    a#p/a 0.2

    Semana Error |Error|

    1 17 17.00

    2 21 17.00 4.0 4.0 16.0

    3 19 17.80 1.2 1.2 1.4

    4 23 18.04 5.0 5.0 24.6

    5 18 19.03 -1.0 1.0 1.1

    6 16 18.83 -2.8 2.8 8.0

    7 20 18.26 1.7 1.7 3.0

    8 18 18.61 -0.6 0.6 0.4

    9 22 18.49 3.5 3.5 12.3

    10 20 19.19 0.8 0.8 0.7

    11 15 19.35 -4.4 4.4 18.9

    12 22 18.48 3.5 3.5 12.4

    13 19.18

    MAD 2.6

    MSE 3.0

    A!"ua#A"

    $ro%e!!ion&"

    Error2

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    0 2 4 6 8 100

    5

    10

    15

    20

    25

    Sua(i0amien"o E1ponen!ia#

    A!"ua#A"

    $ro%e!!ion&"

    Semana

    )en"a* +,a#one*

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    12 14

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    x y

    Semana A!"ua# %

    1 21.6 21.6 1

    2 22.9 45.8 4

    3 25.5 76.5 9

    4 21.9 87.6 16

    5 23.9 119.5 256 27.5 165 36

    7 31.5 220.5 49

    8 29.7 237.6 64

    9 28.6 257.4 81

    10 31.4 314 100

    Formulas Excel

    $endien"e 1.1

    n"er!ep"o 20.4

    Manual n 10

    $endien"e 1.1 promedio 5.5

    n"er!ep"o 20.4 % promedio 26.45

    2

    )en"a* i!i!#e

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    0 2 4 6 8 10 120

    5

    10

    15

    20

    25

    30

    35

    = 1.1 20.4

    Ao

    "a* +1000*

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    A#p/a 0.250

    e"a 0.100

    t A(t) a^(t) b^(t) F(t)

    :anuar% 1 28 28.00 1.35

    &e;ruar% 2 27 28.76 1.29 29.35

    Mar!/ 3 30 30.04 1.29 30.05Apri# 4 34 32.00 1.36 31.33

    Ma% 5 32 33.02 1.32 33.35

    :une 6 33 34.00 1.29 34.34

    :u#% 7 32 34.47 1.21 35.29

    Au,u*" 8 36 35.76 1.22 35.68

    Sep"em;er 9 33 35.98 1.12 36.97

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    2 4 6 8 10 12

    ME>

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