Districts Region Units Unit Price Sales Revenue
Districts Region Units Unit Price Sales Revenue
        53.15384615385    Mean
        8.492716452444    Standard Error
                    60    Median
                    60    Mode
        30.62092463726    Standard Deviation
         937.641025641    Sample Variance
        -1.17303928739    Kurtosis
        -0.20741887921    Skewness
                    92    Range
                     4    Minimum
                    96    Maximum
                   691    Sum
                    13    Count
        461.6992307692    Mean
        126.9181747833    Standard Error
                 299.85   Median
                  #N/A    Mode
        457.6099869696    Standard Deviation
        209406.9001744    Sample Variance
        2.823554052693    Kurtosis
        1.759065028705    Skewness
                1599.23   Range
                  19.96   Minimum
                1619.19   Maximum
                6002.09   Sum
                     13   Count
    Units
              57.2727272727273
              9.21667550899002
                            67
                          #N/A
              30.5682544777778
              934.418181818182
            -0.408770557186027
            -0.928279623798765
                            87
                             3
                            90
                           630
                            11
Sales Revenue
              472.336363636363
                136.55045941318
                          167.44
                           #N/A
              452.886638824171
              205106.307625455
            -0.722268506679418
             0.888738356406602
                         1241.32
                           63.68
                            1305
                          5195.7
                              11
50000+125q =          175q                     Break Even(Mnfg vs Outsrcng)
      50000
     175000           175q                   Units      Mfg.      Outsource Outsource Benefit
                                                  100       62500      17500            45000
q              1000                               200       75000      35000            40000
                                                  300       87500      52500            35000
                                                  400     100000       70000            30000
                                                  500     112500       87500            25000
                                                  600     125000      105000            20000
                                                  700     137500      122500            15000
                                                  800     150000      140000            10000
                                                  900     162500      157500             5000
                                    175000       1000     175000      175000                0
                             100     12500       1100     187500      192500            -5000
                             200     12500       1200     200000      210000           -10000
                             300     12500       1300     212500      227500           -15000
                             400     12500       1400     225000      245000           -20000
                             500     12500       1500     237500      262500           -25000
                                    237500       1600     250000      280000           -30000
                                                 1700     262500      297500           -35000
                                                 1800     275000      315000           -40000
                                                 1900     287500      332500           -45000
                                                 2000     300000      350000           -50000
                                                              Break Even
                       400000
350000
300000
250000
                       200000
                                                                       175000
                       150000
100000
50000
                             0
                                 100 200 300 400 500 600 700 800 900 10001100120013001400150016001700180019002000
                                                               Mfg.      Outsource
           Mfg. Benefit
                 -45000
                 -40000
                 -35000                                        Benefit Comparison
                 -30000
                                   60000
                 -25000
                 -20000
                 -15000            40000
                 -10000
                  -5000            20000
                      0
                   5000                0
                                             0  0  0  0  0  0  0  0  0   0   0   0   0   0   0   0   0   0   0   0
                  10000                    10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200
                  15000           -20000
                  20000
                  25000           -40000
                  30000
                  35000           -60000
                  40000
                  45000                                        Outsource Benefit    Mfg. Benefit
                  50000
400150016001700180019002000
  00 00 00 00
17 18 19 20
Score of Cars on various parameters…RATINGS
Brand_Name Price_On_Road Interior_Exterior   Technology Safety       AfterSales_Service
            1              4               2           1         2                        4
            1              3               2           1         2                        3
            1              3               1           3         1                        1
            1              3               1           3         1                        1
            1              2               2           3         1                        1
            1              2               1           2         1                        2
            1              7               7           7         7                        5
            1              3               3           2         1                        2
            1              2               1           1         1                        1
            1              2               1           1         2                        1
            1              6               5           6         6                        7
            1              3               2           1         2                        2
            1              2               3           1         2                        2
            1              7               5           5         7                        4
            1              5               7           7         7                        5
            1              2               2           2         2                        2
            1              3               2           3         1                        2
            1              2               1           1         1                        1
            1              2               1           1         1                        1
            1              2               1           2         1                        3
            1              1               1           1         1                        1
            1              1               3           2         1                        4
            1              2               1           2         1                        2
            1              3               1           1         1                        1
            1              3               1           1         1                        1
            1              2               1           1         1                        1
            1              5               5           2         6                        4
            1              4               1           1         1                        1
            1              3               1           1         1                        4
            1              4               1           1         1                        3
            1              2               1           2         1                        2
Brand_Name Price_On_Road Interior_Exterior   Technology Safety       AfterSales_Service
            2              1               1           2         2                        1
            2              3               2           2         3                        3
            2              4               3           3         2                        2
            2              4               3           3         2                        2
            2              4               5           5         5                        5
            2              1               1           3         3                        1
            2              3               1           1         1                        1
            2              1               1           1         1                        1
            2              5               6           5         6                        4
            2              2               1           1         2                        2
            2              2               1           1         2                        2
            2              1               7           7         3                        1
            2              3               2           1         1                        2
            2              3               1           1         1                        2
            2              4               1           1         2                        3
           2           5                     1           2         1                        1
           2           3                     2           1         1                        2
           2           2                     2           1         1                        2
           2           1                     2           2         3                        2
           2           1                     2           2         3                        2
           2           5                     1           2         1                        1
           2           1                     1           1         1                        3
           2           3                     2           3         1                        3
           2           3                     2           1         1                        2
           2           1                     1           1         1                        1
           2           4                     5           3         5                        6
           2           3                     2           2         2                        2
           2           3                     3           2         1                        1
           2           2                     2           2         1                        1
           2           1                     3           1         1                        1
Brand_Name Price_On_Road Interior_Exterior     Technology Safety       AfterSales_Service
          3            2                     3           2         1                        4
          3            2                     2           2         1                        1
          3            1                     2           1         1                        1
          3            7                     7           6         7                        6
          3            5                     6           5         5                        5
          3            2                     4           1         1                        1
          3            1                     3           2         2                        2
          3            1                     1           1         1                        1
          3            2                     2           1         1                        3
          3            6                     6           7         7                        6
          3            2                     2           3         2                        2
          3            6                     4           3         7                        6
          3            2                     1           2         1                        1
          3            2                     1           2         1                        1
          3            2                     1           2         1                        1
          3            7                     7           7         7                        6
          3            5                     2           2         1                        1
          3            1                     2           1         2                        2
          3            6                     7           7         7                        7
          3            3                     2           2         1                        1
          3            4                     4           4         2                        3
          3            4                     4           4         2                        3
          3            2                     1           2         2                        1
Driving_Pleasure Trust_on_Brand Advertising_and_Marketing Fuel_Efficiency Social_Status
                3              2                         2               5            5
                2              2                         1               5            1
                1              1                         3               1            1
                1              1                         3               1            1
                1              1                         4               2            2
                1              2                         3               4            2
                7              6                         7               6            7
                2              4                         2               3            1
                1              1                         5               2            2
                1              2                         2               1            1
                6              7                         4               6            7
                1              2                         3               2            1
                3              1                         2               2            3
                6              5                         3               7            5
                7              7                         2               4            6
                1              2                         3               4            4
                1              1                         3               2            1
                1              1                         1               1            1
                1              1                         1               1            1
                1              3                         2               1            1
                1              1                         1               1            1
                2              3                         3               2            2
                1              1                         2               2            3
                1              2                         4               1            2
                1              2                         4               1            2
                1              1                         1               1            3
                4              4                         3               5            1
                1              1                         3               5            1
                1              1                         3               1            3
                2              4                         3               2            3
                1              1                         3               2            2
Driving_Pleasure Trust_on_Brand Advertising_and_Marketing Fuel_Efficiency Social_Status
                1              2                         3               2            1
                2              1                         3               2            1
                2              3                         3               3            3
                2              3                         3               3            3
                5              5                         5               5            5
                1              3                         3               2            2
                2              2                         2               4            3
                1              3                         5               3            5
                5              3                         5               3            5
                2              1                         2               3            2
                2              1                         2               3            2
                4              1                         6               4            5
                1              1                         3               2            4
                1              1                         3               1            1
                3              2                         3               2            2
               1               1                         3               1            4
               2               1                         2               2            3
               1               1                         1               2            1
               2               2                         2               2            2
               2               2                         2               2            2
               1               1                         3               1            4
               1               3                         1               1            3
               3               3                         4               3            3
               2               2                         3               2            2
               1               1                         1               2            1
               5               4                         5               4            3
               3               3                         4               2            3
               1               1                         2               1            4
               1               2                         3               2            2
               3               1                         3               1            4
Driving_Pleasure Trust_on_Brand Advertising_and_Marketing Fuel_Efficiency Social_Status
                2              1                         2               3            4
                2              1                         3               1            2
                1              2                         3               1            2
                6              6                         3               6            4
                6              6                         6               6            6
                1              2                         3               3            5
                2              4                         3               3            3
                1              1                         5               3            6
                2              1                         2               1            3
                5              6                         5               6            5
                3              3                         4               2            3
                7              6                         4               7            5
                2              1                         3               2            3
                2              1                         3               2            3
                2              1                         3               2            3
                7              7                         5               5            5
                2              2                         4               5            4
                2              4                         3               1            5
                7              7                         6               7            7
                2              3                         6               2            4
                3              3                         4               3            4
                3              3                         4               3            4
                1              3                         5               3            3
Quality   Running_and_Maintenance _Cost
        2                             3   What are the average ratings by brand for the various
        2                             2   parameters?
        1                             3
        1                             3   What is the relationship between the ratings for the
        2                             2   brands individually?
        1                             4
        7                             7   What comments can you make on the average ratings
        2                             3   and relationship between the parameters for Brand 1
                                          and Brand 2 respectively?
        1                             1
        2                             1
        6                             7
        2                             3
        2                             3
        7                             6
        7                             4
        3                             3
        1                             2
        2                             1
        2                             3
        1                             1
        1                             1
        1                             2
        2                             2
        1                             1
        1                             1
        2                             2
        1                             1
        1                             3
        1                             1
        2                             3
        1                             1
Quality Running_and_Maintenance _Cost
        1                             2
        1                             3
        3                             3
        3                             3
        7                             5
        2                             1
        3                             4
        1                             3
        3                             2
        1                             2
        1                             2
        1                             2
        2                             1
        1                             1
        1                             1
       1                            1
       3                            2
       1                            2
       2                            2
       2                            2
       1                            1
       3                            1
       2                            2
       3                            3
       1                            1
       3                            5
       2                            3
       2                            2
       2                            2
       1                            1
Quality Running_and_Maintenance _Cost
        2                           1
        1                           2
        1                           1
        7                           7
        6                           6
        1                           1
        2                           1
        1                           3
        1                           1
        6                           6
        2                           2
        6                           5
        1                           0
        1                           2
        1                           2
        6                           6
        2                           4
        1                           2
        7                           7
        2                           2
        3                           3
        3                           3
        2                           3
 for the various
 average ratings
ers for Brand 1
                                 Price_On_Road Interior_Exterior Technology         Safety
Price_On_Road                                    0.7538091205381 0.7053074423 0.8467679221
Interior_Exterior               0.753809120538                    0.8257273202 0.9285693271
Technology                      0.705307442335 0.8257273202085                  0.7967857882
Safety                          0.846767922113 0.9285693270782 0.7967857882
AfterSales_Service              0.677956314618 0.762658639595 0.6504481712 0.7451423503
Driving_Pleasure                0.838966760684 0.9490733728014 0.8255265576 0.9477807146
Trust_on_Brand                  0.761796722357 0.8524232383409 0.7701573808 0.8382914282
Advertising_and_Marketing       0.460619780659 0.3499599901682 0.4481411724 0.3244874806
Fuel_Efficiency                 0.763807528286 0.7001236287175 0.5521638786 0.7445727629
Social_Status                   0.662769858075 0.6918090443634 0.7098984428 0.7086896834
Quality                          0.75587794702 0.826823939519 0.8396686606 0.8625915796
Running_and_Maintenance _Cost   0.733497146709 0.6703616377303 0.7552546087 0.6731260884
Average Rating                  3.064516129032 2.1612903225807 2.1935483871 2.0967741935
Rank                                           1               10             8             11
Average Correlation             0.723743322127 0.7555762962782 0.7162799476 0.7651641023
Adjusted Rating                 11.09300290087 8.8423924916911 7.7313829899 8.9286783419
Adjusted Rank                            Err:522          Err:522       Err:522        Err:522
AfterSales_Service   Driving_Pleasure   Trust_on_Brand Advertising_and_Marketing Fuel_Efficiency
0.677956314618005    0.8389667606844    0.761796722357         0.460619780659162 0.76380752829
0.762658639595029    0.9490733728014    0.852423238341         0.349959990168203 0.70012362872
0.650448171221304     0.825526557584    0.770157380847         0.448141172379046 0.55216387856
0.745142350293811    0.9477807146136    0.838291428245         0.324487480640462 0.74457276294
                     0.8119433496795    0.817993502071         0.260918184741863 0.66650639816
0.811943349679518                       0.882963386969         0.321197305846883 0.73742875815
0.817993502070637    0.8829633869693                           0.321286731013511 0.63960757306
0.260918184741863    0.3211973058469    0.321286731014                             0.29104403619
0.666506398158696     0.737428758149    0.639607573061         0.291044036189531
0.743553383828672    0.8013707461932    0.694582645364         0.401241293082361 0.60778302676
0.657704182716405    0.8896870068669    0.803228910518           0.26889342765645 0.65447611343
0.600775774188986    0.7461898191968    0.677131284808         0.374506675046958 0.71016195044
 2.38709677419355    2.0645161290323    2.354838709677            2.7741935483871 2.67741935484
                 6                 12                  7                         2              3
0.672327295555721    0.7956479798713             Err:522       0.347481461584039 0.64251596861
 7.28500342511585    10.102743920674             Err:522         4.25151683065077 7.48961945075
           Err:522            Err:522            Err:522                   Err:522        Err:522
Social_Status    Quality    Running_and_Maintenance _Cost
0.6627698581 0.755877947                0.733497146708774
0.6918090444 0.8268239395               0.670361637730308
0.7098984428 0.8396686606               0.755254608717086
0.7086896834 0.8625915796               0.673126088354005
0.7435533838 0.6577041827               0.600775774188986
0.8013707462 0.8896870069               0.746189819196785
0.6945826454 0.8032289105               0.677131284808309
0.4012412931 0.2688934277               0.374506675046958
0.6077830268 0.6544761134               0.710161950441883
               0.834335131              0.732774217446391
 0.834335131                            0.806881672773669
0.7327742174 0.8068816728
2.4516129032 2.1935483871                2.58064516129032
             5            8                               4
0.6898915884 0.7454698702               0.680060079583014
7.9056639918 8.6180303621                  8.0660305157509
       Err:522      Err:522                         Err:522
Cost Of Transportation =
                                               The current company from P M N with
                                               warehouse 1 2 3 with one worehouse
          PUNE          Mumbai Nasik           supply to only one city.
W1                500       420      400
W2                150       190      200       The company has apointed a manager
                                               A, who allocated W1 to pune, W2-
W3               1300       280      250       Nasik, W3 to mum,
                                               The company also given cost of
                                               transportation per ton.
                                               The weighted cost of transportation b/w
Scenario 1 Mngr A                              Warehouse and market currently is
                                               Rs980 per TON
          PUNE          Mumbai Nasik
                                               The company appoints a Analytics firm
W1                  1         0        0   1   to examine whether this allocation is
W2                  0         0        1   1   the best allocation i.e. is this allocation
W3                  0         1        0   1   done at the lowest cost of distribution
                    1         1        1       b/w the warehouses to the markets
          Rs/T
TC               980
Scenario 2 Company
          Rs/T
TC               820
any from P M N with
with one worehouse
e city.
 apointed a manager
W1 to pune, W2-
m,
  given cost of
 r ton.
   of transportation b/w
  arket currently is
              x
                a          b        c      d          e           f
Buyers        Pizza   Ice cream   Pasta   Garlic   Ice Tea   Cold drinks
          1     1                   1                 1           1
          2     1                           1                     1
          3     1        1                  1
          4     1                           1        1           1
          5     1                           1        1           1
          6                        1        1        1           1
          7    1                   1        1        1           1
          8    1                            1        1           1
          9              1                  1        1
         10    1                            1        1
         11    1                                                 1
         12    1                            1                    1
         13    1                                                 1
         14    1                            1                    1
         15                        1        1        1
         16    1         1                  1        1           1
         17    1                            1        1           1
         18    1                            1        1           1
         19    1                   1                             1
         20                        1        1        1
         21    1                   1        1        1
         22    1         1                                       1
         23    1         1                                       1
         24              1                  1        1
         25    1         1
         26    1                            1                    1
         27    1                   1                 1           1
         28    1                   1        1        1           1
         29    1                            1
         30                        1                 1           1
         31    1                            1
         32    1         1         1        1        1
         33    1                            1                    1
         34    1                            1                    1
         35    1                                                 1
         36    1                            1                    1
         37    1                            1        1
         38    1                            1        1           1
         39    1         1         1                             1
         40    1                            1                    1
         41                                 1        1
         42                        1
         43
         44    1                            1                    1
45           1       1
46   1           1       1
47   1           1   1   1
48   1           1       1
49   1           1       1
50   1   1
51   1       1       1   1
52   1   1               1
53   1   1       1       1
54   1                   1
55   1                   1
56   1   1       1
57   1                   1
58               1   1
59   1           1   1   1
60   1           1   1   1
61           1   1   1
62   1           1       1
63   1   1               1
64           1   1   1
65   1                   1
66   1                   1
67   1           1   1
68   1   1               1
69           1       1
70   1   1   1           1
71   1           1       1
72   1       1   1       1
73   1       1           1
74   1       1   1       1
75   1   1               1
76           1   1       1
77   1                   1
78   1                   1
79   1                   1
80               1       1
81   1   1               1
82
83           1   1   1   1
84   1   1   1
85   1   1               1
86   1       1   1       1
87   1   1
88   1           1       1
89   1           1       1
90   1   1       1       1
91   1           1       1
92   1               1
93   1                   1
 94   1           1       1
 95   1           1       1
 96   1       1   1       1
 97   1   1       1
 98   1                   1
 99   1           1   1
100       1   1       1
101   1       1   1   1   1
102   1           1       1
103       1       1   1
104   1                   1
105   1                   1
106   1           1       1
107           1   1   1
Buyers        Pizza       Ice cream   Pasta       Garlic       Ice Tea Cold drinks
          1           1           0           1            0          1         1
          2           1           0           0            1          0         1
          3           1           1           0            1          0         0
          4           1           0           0            1          1         1
          5           1           0           0            1          1         1
          6           0           0           1            1          1         1
          7           1           0           1            1          1         1
          8           1           0           0            1          1         1
          9           0           1           0            1          1         0
         10           1           0           0            1          1         0
         11           1           0           0            0          0         1
                                                                                     The following
         12           1           0           0            1          0         1    to a pizza sto
         13           1           0           0            0          0         1    items that the
         14           1           0           0            1          0         1    visit.
         15           0           0           1            1          1         0
         16           1           1           0            1          1         1    Tasks
         17           1           0           0            1          1         1
         18           1           0           0            1          1         1    Convert the d
                                                                                     Which Statis
         19           1           0           1            0          0         1
                                                                                     to interpret th
         20           0           0           1            1          1         0    What are you
         21           1           0           1            1          1         0    recommenda
         22           1           1           0            0          0         1    Company?
         23           1           1           0            0          0         1
         24           0           1           0            1          1         0
         25           1           1           0            0          0         0
         26           1           0           0            1          0         1
         27           1           0           1            0          1         1
         28           1           0           1            1          1         1
         29           1           0           0            1          0         0
         30           0           0           1            0          1         1
         31           1           0           0            1          0         0
         32           1           1           1            1          1         0
         33           1           0           0            1          0         1
         34           1           0           0            1          0         1
         35           1           0           0            0          0         1
         36           1           0           0            1          0         1
         37           1           0           0            1          1         0
         38           1           0           0            1          1         1
         39           1           1           1            0          0         1
         40           1           0           0            1          0         1
         41           0           0           0            1          1         0
         42           0           0           1            0          0         0
         43           0           0           0            0          0         0
         44           1           0           0            1          0         1
45   0   0   1   0   1   0
46   1   0   0   1   0   1
47   1   0   0   1   1   1
48   1   0   0   1   0   1
49   1   0   0   1   0   1
50   1   1   0   0   0   0
51   1   0   1   0   1   1
52   1   1   0   0   0   1
53   1   1   0   1   0   1
54   1   0   0   0   0   1
55   1   0   0   0   0   1
56   1   1   0   1   0   0
57   1   0   0   0   0   1
58   0   0   0   1   1   0
59   1   0   0   1   1   1
60   1   0   0   1   1   1
61   0   0   1   1   1   0
62   1   0   0   1   0   1
63   1   1   0   0   0   1
64   0   0   1   1   1   0
65   1   0   0   0   0   1
66   1   0   0   0   0   1
67   1   0   0   1   1   0
68   1   1   0   0   0   1
69   0   0   1   0   1   0
70   1   1   1   0   0   1
71   1   0   0   1   0   1
72   1   0   1   1   0   1
73   1   0   1   0   0   1
74   1   0   1   1   0   1
75   1   1   0   0   0   1
76   0   0   1   1   0   1
77   1   0   0   0   0   1
78   1   0   0   0   0   1
79   1   0   0   0   0   1
80   0   0   0   1   0   1
81   1   1   0   0   0   1
82   0   0   0   0   0   0
83   0   0   1   1   1   1
84   1   1   1   0   0   0
85   1   1   0   0   0   1
86   1   0   1   1   0   1
87   1   1   0   0   0   0
88   1   0   0   1   0   1
89   1   0   0   1   0   1
90   1   1   0   1   0   1
91   1   0   0   1   0   1
92   1   0   0   0   1   0
93   1   0   0   0   0   1
 94   1   0   0   1   0   1
 95   1   0   0   1   0   1
 96   1   0   1   1   0   1
 97   1   1   0   1   0   0
 98   1   0   0   0   0   1
 99   1   0   0   1   1   0
100   0   1   1   0   1   0
101   1   0   1   1   1   1
102   1   0   0   1   0   1
103   0   1   0   1   1   0
104   1   0   0   0   0   1
105   1   0   0   0   0   1
106   1   0   0   1   0   1
107   0   0   1   1   1   0
               Pizza     Ice cream Pasta       Garlic   Ice Tea Cold drinks
 Pizza                   0.050412 -0.37258 -0.0599 -0.40804 0.499538
 Ice cream 0.050412                  -0.0988 -0.2346 -0.14282 -0.2182
 Pasta        -0.37258     -0.0988            -0.05217 0.348673 -0.1376
 Garlic        -0.0599     -0.2346 -0.05217            0.290629 -0.06524
 Ice Tea      -0.40804    -0.14282 0.348673 0.290629             -0.35357
 Cold drinks 0.4995384   -0.218204 -0.137605 -0.065242 -0.353568
Tasks
 Beijing Shanghai     Tianjin     Cairo    Bombay      Calcutta      Delhi      Jakarta     Osaka      Tokyo
0.724682 0.5145      0.258868   0.007823     -0.6094       -0.16   -0.58253    -0.67546    0.290154   0.155377
-0.08776 -0.31092    0.465036   0.230553   0.461778    0.367494    0.742657    0.780666    -0.61867   -0.74541
0.163053 -0.22553    -0.39568   0.089997   -0.82076    -0.71904    -0.40323      -0.3821   0.650522   0.195444
0.171969 0.302091    -0.03212   -0.14379   -0.24647    -0.34298    -0.55613    -0.49248    0.042069   0.582434
          0.544235   0.590622   -0.00871   -0.20646     0.00671    -0.33556    -0.33623    -0.25253   -0.28148
0.544235             0.543437   0.271266   0.188977    0.098498    -0.55392    -0.26215    -0.30463   0.144559
0.590622 0.543437                 0.4442    0.32662    0.367705    -0.03943    0.130901    -0.53348   -0.58421
-0.00871 0.271266      0.4442              0.045591    -0.32274    -0.18838     0.36979    0.104965   -0.41796
-0.20646 0.188977     0.32662   0.045591               0.570957    0.386548    0.570163    -0.73077   -0.30969
 0.00671 0.098498    0.367705   -0.32274   0.570957                0.558714    0.205639    -0.64393   -0.27437
-0.33556 -0.55392    -0.03943   -0.18838   0.386548    0.558714                0.751127    -0.48991   -0.54175
-0.33623 -0.26215    0.130901    0.36979   0.570163    0.205639    0.751127                -0.51658   -0.65523
-0.25253 -0.30463    -0.53348   0.104965   -0.73077    -0.64393    -0.48991    -0.51658                0.42743
-0.28148 0.144559    -0.58421   -0.41796   -0.30969    -0.27437    -0.54175    -0.65523     0.42743
-0.39274 -0.24508    -0.33718   0.584774   -0.30452    -0.77677      -0.3681   0.035939    0.730663   0.085688
-0.03772 0.582254    -0.20602   0.112844   -0.20042    -0.14996    -0.61289    -0.46883    0.276318   0.658482
-0.18806 -0.28643    0.195995   -0.27086   0.749063    0.773717    0.835076    0.631925    -0.70711      -0.536
-0.02536 -0.33466    0.264239   0.049027   0.534953    0.403874    0.846095    0.854879    -0.66062   -0.79551
  -0.2975 -0.18025   0.118324   0.539961    0.51654    -0.15179    0.359965    0.818346    -0.23875   -0.55458
 0.21228 -0.39415    -0.46016   -0.27827     -0.8136   -0.53256      -0.3057   -0.54763    0.685972   0.208074
-0.14864 0.055472    -0.48111   -0.17069   -0.57239    -0.49346    -0.66301    -0.72963     0.77526   0.780752
  Seoul Mexico City Lagos       Karachi  Manila Los AngelesNew York
-0.10143 0.34193 -0.58734      -0.49953 -0.54341 0.367969 0.4564
  -0.2394 -0.74398 0.682422    0.858899 0.560348 -0.47909 -0.78209
 0.46293 0.246219 -0.70869     -0.43957 -0.30934 0.86147 0.30842
-0.07839 0.392223 -0.52984       -0.5718-0.50081 0.203738 0.24263
-0.39274 -0.03772 -0.18806     -0.02536   -0.2975 0.21228 -0.14864
-0.24508 0.582254 -0.28643     -0.33466 -0.18025 -0.39415 0.055472
-0.33718 -0.20602 0.195995     0.264239 0.118324 -0.46016 -0.48111
0.584774 0.112844 -0.27086     0.049027 0.539961 -0.27827 -0.17069
-0.30452 -0.20042 0.749063     0.534953  0.51654 -0.8136 -0.57239
-0.77677 -0.14996 0.773717     0.403874 -0.15179 -0.53256 -0.49346
  -0.3681 -0.61289 0.835076    0.846095 0.359965 -0.3057 -0.66301
0.035939 -0.46883 0.631925     0.854879 0.818346 -0.54763 -0.72963
0.730663 0.276318 -0.70711     -0.66062 -0.23875 0.685972 0.77526
0.085688 0.658482     -0.536   -0.79551 -0.55458 0.208074 0.780752
           0.11943 -0.53402    -0.28802 0.422938 0.277952 0.418044
 0.11943             -0.5849   -0.74877   -0.4397 0.007275 0.459261
-0.53402 -0.5849               0.819138 0.365735 -0.52339 -0.71167
-0.28802 -0.74877 0.819138              0.651788 -0.40878 -0.81077
0.422938 -0.4397 0.365735      0.651788           -0.47129 -0.4014
0.277952 0.007275 -0.52339     -0.40878 -0.47129             0.3996
0.418044 0.459261 -0.71167     -0.81077 -0.4014 0.3996
Retailer
Sales in        Statistical
(000)           measures        Values
           24   Skew            0.25901404                   0
           35   Max                      58                 10
           17   Min                      12                 20
           21   Range                    46                 30
           24   Mean                   32.4                 40
           37   Std. D- (S)     12.6715595                  50
           26   x                        40
           46
           58
           30
           32
           13                                 Approx.
           12   Stergis rule(K) 5.29339899              5
           38
           41   Rice rule (K)   5.42883523              5
           43
           44                   8.69006854
           27                   8.47327245
           53
           27
                                                                   8
                                                                   7
     Class   Frequency
                                                                   6
10   0-10                0
                                                                   5
20   10-20               3   Solution
30   20-30               7   P(x)       0.725669676
                                                      Axis Title
40   30-40               4   1-P(x)     0.274330324                4
50   40-50               4
60   50-60               2                                         3
                                                                        0
                                                                   0
                                                                       0-10
                                Retailers
             8
                                 7
             7
             5
Axis Title
                                                      4       4
             4
                         3
             3
                                                                      2
             2
                  0
             0
                 0-10   10-20   20-30                30-40   40-50   50-60
                                        Axis Title
Max     58
Min     12   Rice      2*N^(1/3)
Range   46   Stergis   1+3.3log(n)
N       20   Rice k     5.428835
             Stergis    5.293399
Sales in a region                                          skew       0.416
 12      32     22    22     55      28      7   18         K          6.84        X
 35      14     20    31     12      30     17   22        max           55        P(X)
 10      20     35    34     10      15     12   20        min            2        1-P(x)
  5      35     35    28     34      2       2   5         sd         12.95            40
 19      18     15    2      32      46     28   47        mean       22.15
                                                                                             Chart T
                                                      14                       13
12
                                                      10
                                                                  8
                                                      8                                      7
                                                      0
                                                              0-10            10-20         20-30
                Discount
           33
        0.799       0.05 31.96
        0.201       0.08 8.04
                            40
          Chart Title
 13
                                    2
                                            1
istributed?
statistics
ge of class width)
istributed?
statistics
ge of class width)
12
10
                                   8              7
                                   6
                                                                         4
                                   4                        3
                                   2                                            1         1
                                   0
              0-100           15        0-100   100-200   200-300   300-400   400-500   500-600
              100-200          7
              200-300          3
              300-400          4
              400-500          1
              500-600          1
  1
500-600
Respondents willingness to pay is recorded as under
            WTP               max                  35
             35               min                  10   Willingness to pay for the Hide n Seek bisc
                                                        collected from a sample of 107 online and
             30               avg            16.70093
             30               n                   107   Tasks:
             30               skew           1.385209
             28               sd             4.895573   Create a price schedule and calculate the
             27                                         histogram (Consider difference of Rs. 5 as
             27
             27                                         What single price would you recommend t
             26                                         producing the biscuit was Rs. 18? (Best st
                                                        - TC = Profits)
             25
             25                                         Consider upper (Max) price point to be Rs
             25
             24
             22
                                                        Steps
             20
             20                                         Sort the Data from Lowest to Highest
             20                                         Prepare the histogram
             19                                         Calculate the market share on a reverse cu
             19                                         Calculate Revenue on basis of actual custo
             19                                         the mid point formula
             19
             19
             19
             19
             19
             18
             18
             18
             18
             18
             18
             17
             17
             17
             17
             17
             17
             17
             17
             17
             17
             17
             17
             17
             17
             17
16
16
16
16
16
16
16
16
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
14
14
14
14
14
14
14
14
14
14
14
13
13
13
13
13
13
13
13
12
12
12
12
12
12
12
11
10
10
10
10
10
10
10
10
 pay for the Hide n Seek biscuit pack of 200 gms, was                               0           5
 a sample of 107 online and offline users)
                                                                                    5          10
                                                                                   10          15
                                                                                   15          20
schedule and calculate the WTP by price point using the                            20          25
nsider difference of Rs. 5 as class interval)                                      25          30
                                                                                   30          35
rice would you recommend the brand in case the marginal cost
 biscuit was Rs. 18? (Best strategy is to maximize revenue (TR
Cum.
    49%     6%
    65%    13%
    71%    19%                  Pareto Index
    76%    25%   3.04   1   4.04 1.256088726
    81%    31%   2.60   1   3.60 1.340258694
    85%    38%
    90%    44%
    92%    50%
    94%    56%
    95%    63%
    96%    69%
    98%    75%
    98%    81%
    99%    88%
    99%    94%
   100%   100%
                                                                            Retailer Sales
  1800                                                                                                                            98%       99%        100%
                                                                                                     94%        95%     97%
               1578                                                              91%       93%                                                         90%
  1600                                                                88%
                                              83%       85%
  1400                        79%                                                                                                                      80%
                           1260
                                                                                                                                                       70%
  1200
                                                                                                                                                       60%
  1000
                                                                                                                                                       50%
   800              44%
                                                                                                                                                       40%
   600
                                                                                                                                                       30%
   400                                                                                                                                                 20%
   200                                150           95            93         91        89        43         43         43        42        42     39   10%
       0                                                                                                                                               0%
                1           2             3         4             5          6         7         8          9          10        11        12     13
Area A Cum.
                                                                             Area B              Cum.
Original Data
Customer        Profit %
Customer 1            9026
Customer 2            8700
Customer 3            8300
Customer 5            5000
Customer 6            1800
Customer 8            1500
Customer 11             500
Customer 10             900
Customer 9            1200
Customer 12             200
Customer 4            7900
Customer 13             100
Customer 18          -2300
Customer 17            -700
Customer 19          -3100
Customer 20          -5400
Customer 7            1700
Customer 14              60
Customer 15              50
Customer 16              10
  Original Data
                                                  %customer Profit% Level
   Customer       Profit      Cum Profit                  0%    0.00%   100%
 1 Customer 1           9026       9026                   5% 25.46%     100%
 2 Customer 2           8700      17726                  10% 50.01%     100%
 3 Customer 3           8300      26026                  15% 73.42%     100%
 4 Customer 4           7900      33926                  20% 95.71%     100%
 5 Customer 5           5000      38926                  25% 109.82%    100%
 6 Customer 6           1800      40726                  30% 114.90%    100%
 7 Customer 7           1700      42426                  35% 119.69%    100%
 8 Customer 8           1500      43926                  40% 123.92%    100%
 9 Customer 9           1200      45126                  45% 127.31%    100%
10 Customer 10            900     46026                  50% 129.85%    100%
11 Customer 11            500     46526                  55% 131.26%    100%
12 Customer 12            200     46726                  60% 131.82%    100%
13 Customer 13            100     46826                  65% 132.11%    100%
14 Customer 14             60     46886                  70% 132.27%    100%
15 Customer 15             50     46936                  75% 132.42%    100%
16 Customer 16             10     46946                  80% 132.44%    100%
17 Customer 17           -700     46246                  85% 130.47%    100%
18 Customer 18         -2300      43946                  90% 123.98%    100%
19 Customer 19         -3100      40846                  95% 115.23%    100%
20 Customer 20         -5400      35446                 100% 100.00%    100%
                                           Chart Title
    140%
120%
100%
80%
60%
40%
20%
      0%
           0% 5% 10% 15% 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80% 85% 90% 95% 100
                                                                                          %
0% 95% 100
        %
Customer ID   Profit        Customer ID   Profit   cum Profit
    64          82      1       14         95              95
    84         -85      2        9         94            189
     9          94      3       57         92            281
    12          65      4       54         91            372
     2          48      5       59         91            463
    90         -14      6       44         89            552
     3          82      7        4         87            639
    89         -58      8       29         87            726
    20          69      9       15         87            813
    68          60     10       65         86            899
    43          54     11       47         84            983
    52          77     12       28         84           1067
    51          54     13       46         83           1150
    13          68     14       64         82           1232
    18          81     15        3         82           1314
    96         -55     16       18         81           1395
    85          -7     17       38         81           1476
    48          72     18        5         78           1554
     7          68     19       52         77           1631
    40          52     20       45         75           1706
    74         -56     21       63         74           1780
    24          48     22       30         74           1854
     4          87     23       48         72           1926
     6          59     24       58         72           1998
    34          62     25       60         71           2069
    37          63     26       67         70           2139
    88         -10     27       11         70           2209
    72         -66     28       20         69           2278
     5          78     29       27         69           2347
    33          50     30       31         69           2416
    27          69     31       17         69           2485
    16          63     32       32         69           2554
    31          69     33       50         69           2623
    67          70     34        1         69           2692
    47          84     35       13         68           2760
    49          55     36        7         68           2828
    69          60     37       55         67           2895
    61          58     38       12         65           2960
    23          48     39       36         65           3025
    14          95     40       35         65           3090
    76         -72     41       70         64           3154
    11          70     42       37         63           3217
    17          69     43       16         63           3280
    28          84     44       22         63           3343
    36          65     45       34         62           3405
    54          91     46       19         62           3467
 83   -25   47    68    60   3527
 86   -87   48    69    60   3587
 92   -42   49    6     59   3646
 63    74   50    41    59   3705
 94   -65   51    61    58   3763
 42    54   52    25    56   3819
 70    64   53    49    55   3874
 10    50   54    53    55   3929
 35    65   55    43    54   3983
 19    62   56    51    54   4037
 38    81   57    42    54   4091
 79   -57   58    40    52   4143
 57    92   59    8     52   4195
 29    87   60    26    52   4247
 60    71   61    33    50   4297
 56    46   62    10    50   4347
 77   -10   63    66    49   4396
 15    87   64    2     48   4444
 80   -77   65    24    48   4492
 59    91   66    23    48   4540
 32    69   67    39    48   4588
 22    63   68    21    47   4635
 30    74   69    56    46   4681
 45    75   70    62    46   4727
 66    49   71    81    -2   4725
 8     52   72    85    -7   4718
 73   -74   73    88   -10   4708
 39    48   74    77   -10   4698
 25    56   75    90   -14   4684
 81    -2   76    78   -15   4669
 98   -19   77    97   -17   4652
 55    67   78    98   -19   4633
 75   -71   79    99   -22   4611
 50    69   80    83   -25   4586
 41    59   81    93   -35   4551
 82   -63   82   100   -39   4512
 65    86   83    91   -40   4472
 99   -22   84    92   -42   4430
 95   -49   85    95   -49   4381
 53    55   86    96   -55   4326
 1     69   87    74   -56   4270
 21    47   88    79   -57   4213
100   -39   89    89   -58   4155
 26    52   90    87   -58   4097
 71   -91   91    82   -63   4034
 78   -15   92    94   -65   3969
 93   -35   93    72   -66   3903
 91   -40   94    75   -71   3832
 62    46   95    76   -72   3760
87   -58    96   73   -74   3686
58    72    97   80   -77   3609
97   -17    98   84   -85   3524
44    89    99   86   -87   3437
46    83   100   71   -91   3346
Customer Profit % Level
      0%        0%   100%
      1%   3%        100%
      2%   6%        100%
      3%   8%        100%
      4% 11%         100%
      5% 14%         100%
      6% 16%         100%
      7% 19%         100%
      8% 22%         100%
      9% 24%         100%
     10% 27%         100%
     11% 29%         100%
     12% 32%         100%
     13% 34%         100%
     14% 37%         100%
     15% 39%         100%
     16% 42%         100%
     17% 44%         100%
     18% 46%         100%
     19% 49%         100%
     20% 51%         100%
     21% 53%         100%
     22% 55%         100%
     23% 58%         100%
     24% 60%         100%
     25% 62%         100%
     26% 64%         100%
     27% 66%         100%
     28% 68%         100%
     29% 70%         100%
     30% 72%         100%
     31% 74%         100%
     32% 76%         100%
     33% 78%         100%
     34% 80%         100%
     35% 82%         100%
     36% 85%         100%
     37% 87%         100%
     38% 88%         100%
     39% 90%         100%
     40% 92%         100%
     41% 94%         100%
     42% 96%         100%
     43% 98%         100%
     44% 100%        100%
     45% 102%        100%
     46% 104%        100%
47%   105%   100%
48%   107%   100%
49%   109%   100%
50%   111%   100%
51%   112%   100%
52%   114%   100%
53%   116%   100%
54%   117%   100%
55%   119%   100%
56%   121%   100%
57%   122%   100%
58%   124%   100%
59%   125%   100%
60%   127%   100%
61%   128%   100%
62%   130%   100%
63%   131%   100%
64%   133%   100%
65%   134%   100%
66%   136%   100%
67%   137%   100%
68%   139%   100%
69%   140%   100%
70%   141%   100%
71%   141%   100%
72%   141%   100%
73%   141%   100%
74%   140%   100%
75%   140%   100%
76%   140%   100%
77%   139%   100%
78%   138%   100%
79%   138%   100%
80%   137%   100%
81%   136%   100%
82%   135%   100%
83%   134%   100%
84%   132%   100%
85%   131%   100%                                   Chart Title
86%   129%   100%   160%
87%   128%   100%   140%
88%   126%   100%   120%
89%   124%   100%   100%
90%   122%   100%
                    80%
91%   121%   100%
                    60%
92%   119%   100%
93%   117%   100%   40%
94%   115%   100%   20%
95%   112%   100%    0%
                           1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65
                                              Customer       Profit %
                     60%
                     40%
                     20%
                     0%
                           1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65
 96%   110%   100%
 97%   108%   100%
 98%   105%   100%                            Customer       Profit %
 99%   103%   100%
100%   100%   100%
  Chart Title
3 37 41 45 49 53 57 61 65 69 73 77 81 85 89 93 97 101
Column Labels
East                  North         South         West
                12%            9%            5%          11%
                 9%           20%           18%          16%
                20%           12%           23%          15%
                28%           17%           12%          14%
                17%           22%           26%          26%
                15%           20%           16%          18%
Product      2011 2012 2013 2014 2015 2016   Year       East North South West
Product 1     542 300 356 167      22 194           2011 851 1111 1023 704
Product 2     931 318 356 388 310 343               2012 556 945 353 454
Product 3     823 180 666 490 325 417               2013 746 697 926 553
Product 4     494 503 476 372 282 920               2014 691 498 543 1053
Product 5     683 551 677 922 355 637               2015 616 267 705 454
Product 6     216 456 391 446 748 617               2016 792 1352 490 494
                                         Delhi              Mumbai
        Awareness Aware                              438                 333
                   Qualify Needs                      51                  65
         Discovery Initial Meeting                    45                  22
                   Define needs                       22                  15
        Evaluation Make Offer                         22                  14
        Intent     Final Proposal sent                10                   5
        Purchase Sales                                 5                   4
        Loyalty    Repeat Sales                        2                   2
                                         Delhi              Mumbai
        Awareness Aware                             100%                100%
                   Qualify Needs                     12%                 20%
         Discovery Initial Meeting                   88%                 34%
                   Define needs                      49%                 68%
        Evaluation Make Offer                       100%                 93%
        Intent     Final Proposal sent               45%                 36%
        Purchase Sales                               50%                 80%
        Loyalty    Repeat Sales                      40%                 50%
                                         Delhi              Mumbai
        Awareness Aware                              1533                 666
                   Qualify Needs                  178.500             130.000
         Discovery Initial Meeting                157.500              44.000
                   Define needs                    77.000              30.000
        Evaluation Make Offer                      77.000              28.000
        Intent     Final Proposal sent             35.000              10.000
        Purchase Sales                             17.500               8.000
        Loyalty    Repeat Sales                     7.000               4.000
                                                        7                   4
                                                 0.00E+00            0.00E+00
Chennai
              296        Q- How many potential customers have to be aware in case the
               95        repeat purchase target is set to be ?
                         Delhi 7
               45
                         Mumbai 4
               29        Chennai 11
               28
               16
               11
                7
Chennai
             100%
              32%
              47%
              64%
              97%
              57%
              69%
              64%
Chennai
               465 CV
           149.240
            70.693
            45.557
            43.986
            25.135
            17.280
            10.997
                11 ESS
          1.14E-05               0.00 Minimize
                      Delhi         Mumbai Chennai
Aware                         438       333     296    355.6667            485.00
Qualify Needs                  51        65      95    70.33333   20%   95.90909
Initial Meeting                45        22      45    37.33333   53%   50.90909
Define needs                   22        15      29          22   59%          30
Make Offer                     22        14      28    21.33333   97%   29.09091
Final Proposal sent            10         5      16    10.33333   48%   14.09091
Sales                           5         4      11    6.666667   65%   9.090909
Repeat Sales                    2         2        7   3.666667   55%           5 Goal
                                          Chart Title
           45%
           40%
           35%
           30%
           25%
           20%
           15%
           10%
            5%
            0%
              0%        10%         20%        30%        40%        50%        60%
highly correlated
         Revenue           4-Firm  HHI         Units           HHI
Sunfeast      300    51%            0.258546            5   22% 0.047259
Britania      200    34%        85% 0.11491             5   22% 0.047259
Good day       50     8%            0.007182            5   22% 0.047259
Parle G        25     4%            0.001795            4   17% 0.030246
Tiger          10     2%            0.000287            3   13% 0.017013
Oreo             5    1%           7.182E-05            1    4% 0.00189
Sum           590                   0.382792           23       0.190926
Firms       Sales Firms       Sales         MKT Shr   Share
        1       20        2            40       40%
        2       40        1            20       20%      59%
        3       15        3            15       15%
        4        8        6            10       10%
        5        2        4             8        8%
        6       10        7             6        6%
        7        6        5             2        2%
                   Sum                101
4Firms     HHI
         0.156847
0.285714 0.039212
         0.022057
         0.009803
         0.006274
         0.003529
         0.000392
         0.238114
 Surgeon purchase our scissor   1500
 Surgeon purchase our brand      650
        Total Surgeon           2000
42% 0.172633
0.303914
    26%             0.066593
    10%             0.010781
                    0.283257
                     FAST FOOD
                     Pizza               Fries               Burgers         Population
                           55                    170             90              315
Papa J                     21
P Hut                      29
Dominos                    5
KFC                                               55             22
Mac                                               60             55
Burger King                                       55             13
                          55                     170             90
                     0.38181818182
ence of brand
                500
                      79
                 18%
Stores   Potential Company Sales
A           12000           4550   38%                          7
B          110000                                               5
C           19400           1365    7%   NR                   71%
D          247000           2200    1%   WNR                   4%
E          250000           7020    3%
F          105000          24050   23%
G          244000
           987400         39185    4%
                                         Loss opportunity   354000
Overall
Present
Present in large no of otlets
But Market extraction is less
                                        41%      11%
                                        26%      18%
                                                                                 Chart Title
                                                                     60%
50%
40%
                                                                     30%
                                   , [Y VALUE]                                      , [Y VALUE]
                                                                     20%
                                                                            , [Y VALUE]
                            5%    10%            15%   20%   , [Y VALUE]
                                                                      25%                 30%
                                                                      , [Y VALUE]
                                      20%
                                             , [Y VALUE]
5%   10%   15%    20%     , [Y VALUE]
                                   25%                     30%
                                        , [Y VALUE]
                               , [Y VALUE]
                                       10%
                                           , [Y VALUE]
                 , [Y VALUE]      , [Y VALUE]
                                                                 ,
                                        0%
           Chart Title
60%
, [Y VALUE] , [Y VALUE]
50%
40%
30%
              , [Y VALUE]
20%
      , [Y VALUE]
E]
25%                 30%     35%            40%   45%            50%   55%
, [Y VALUE]
20%
      , [Y VALUE]
E]
25%                 30%         35%        40%              45%      50%        55%
 , [Y VALUE]
UE]                                               , [Y VALUE]
10%
                                        , [Y VALUE]
                                                    , [Y VALUE]
                                              , [Y VALUE]
    , [Y VALUE]
VALUE]
                                                                  , [Y VALUE]
                          , [Y VALUE]
 0%
            Cust 1      Cust 2      Cust 3
Brnd A            250         550         300   1100
Brnd B            250         550         900   1700
brnd C            500         300         200   1000
Total            1000        1400        1400   3800
Cust Pop.         150         350         400    900
BDI
            Cust 1   Cust 2    Cust 3
Brnd A       1.363636 1.285714 0.613636
Brnd B       0.882353 0.831933 1.191176
brnd C              3 0.771429       0.45
m(slope)     22.71429
c(intercept)       93
                      Forecast
                      (manually)    Forecast
April               7           252       252
May                 8 274.7142857         289
      Linear Regression For single Variable(Cal.using For
           X               Y         y=mx+c
         Temp        Million Cases   Model     ESS(Error sum of Square)
Oct       15              130         114.7376        232.941797929876
Nov       22              135         138.5221        12.4051846009753
Dec       29              150         162.3066        151.453138258591
Jan       39              180         196.2845        265.185930594914
Feb       41              190         203.0801        171.089291192643
Mar       46              250         220.0691        895.861121511397
Apr             47                    223.4669          1728.9364640884
May             50                    233.6602
m     3.3977900558
c     63.770718232
                                     Apr             223.466850853823
                                     May             233.660221021169
(Cal.using Forecast and Solver)
SUMMARY OUTPUT
                                              Regression Statistics
                                  Multiple R
                                  R Square
                                  Adjusted R Square
                                  Standard Error
                                  Observations
ANOVA
                                  Regression
                                  Residual
                                  Total
                                  Intercept
                                  Temp
                                                      47
                                                      50
Regression Statistics
            0.9102780073406
           0.82860605064799
               0.78575756331
           20.7902408841769
                           6
                  df              SS            MS
                          1 8358.5635359116     8358.5635359116
                          4 1728.9364640884    432.234116022099
                          5          10087.5
3-month 4-month
        Shipments               Ess
Jan            22                                  Jan                22
Feb            19                                  Feb                19
Mar            32                                  Mar                32
Apr            40    24.33333   245.4444           Apr                40
May            40    30.33333   93.44444           May                40       28.25
Jun            22    37.33333   235.1111           Jun                22       32.75
Jul            32          34          4           Jul                32        33.5
Aug            20    31.33333   128.4444           Aug                20        33.5
Sep            25    24.66667   0.111111           Sep                25        28.5
Oct            29    25.66667   11.11111           Oct                29       24.75
Nov            24    24.66667   0.444444           Nov                24        26.5
Dec            26          26          0           Dec                26        24.5
                                718.1111
                                                   W3            0.667127
                                                   W2             0.25626
                                                   W1            0.076613
        Shipment Model    ESS                                    1.000001         1
Jan            22
Feb            19
Mar            32
Apr            40 27.90251 146.3492
May            40 36.34108 13.38773
Jun            22 39.38713 302.3124
Jul            32 27.99175 16.06608
Aug            20 30.05034 101.0093
Sep          25   23.22837   3.138673
Oct          29   24.25502   22.51485
Nov          24   27.28547   10.79429
Dec          26   25.35794   0.412243
                             615.9847
                                        W4   0.927886
                                        W3   0.072115
                                        W2          0
      Shipment Model                    W1          0
Jan          22                              1.000001
Feb          19
Mar          32
Apr          40
May          40 39.42312     0.332792
Jun          22 21.88462     0.013312
Jul          32 40.00004     64.00064
Aug          20       22     4.000088
Sep          25 20.00002      24.9998
Oct          29        0          841
Nov          24        0          576
Dec          26        0          676
                             2186.347
                                               Shipments
      45
      40
      35
      30
      25
      20
      15
      10
       5
       0
           1        2        3        4    5     6          7       8       9   10   11       12
                                          W3                    3
                                          W2                    2
                                          W1                    1
ESS                                                             6
                            Jan                 22
                            Feb                 19
                            Mar                 32
                            Apr                 40         26            196
138.0625                    May                 40   33.83333       38.02778
115.5625                    Jun                 22   38.66667       277.7778
    2.25                    Jul                 32         31              1
  182.25                    Aug                 20         30            100
   12.25                    Sep                 25   24.33333       0.444444
 18.0625                    Oct                 29       24.5          20.25
    6.25                    Nov                 24   26.16667       4.694444
    2.25                    Dec                 26   25.83333       0.027778
476.9375                                                            638.2222
                                                         Chart Title
               45
               40
               35
               30
               25
               20
               15
               10
               5
               0
                        1         2        3         4          5       6        7        8        9
    30
    25
    20
    15
    10
    5
    0
         1   2   3   4          5      6       7   8   9
Column C Column D
1
                       Sales
                   Gallons(mio)
           Years        yi
             1          56
             2          58
             3          45
             4          50
             5          52
             6          55
             7          57
             8          53
             9          54
            10          48
            11          51
            12          54
            13          50
            14          48
            15          53
            16          54
            17          52
            18          55
            19          53
            20          49
                                              W3   0.270674
                                              W2   0.068737
        Gallons(mio)                          W1     0.6618
Years        yi                                     1.00121           Gallons(mio)
  1          56                                               Years
  2          58                                                 1
  3          45                                                 2
  4          50       48.9254541   1.154649                     3
  5          52      51.88222233   0.013872                     4
  6          55      50.03074679   24.69348                     5
  7          57      53.50698851   12.20113                     6
  8          53      55.57814594   6.646836                     7
  9          54      53.88044172   0.014294                     8
 10          48       54.8086419    46.3576                     9
 11          51      49.82388498   1.383247                    10
 12          54      51.66753737   5.440382                    11
 13          50      52.23510442   4.995692                    12
 14          48      50.60613699    6.79195                    13
 15          53      49.81961162   10.11487                    14
16        54   51.90844184   4.374616   15
17        52   52.37257799   0.138814   16
18        55   52.47108407   6.395416   17
19        53   54.58968359   2.527094   18
20        49   52.93094685   15.45234   19
     21        50.95829551   148.6963   20
                                   W4   0.686679
                                   W3          0
Gallons(mio)                       W2   0.177633
     yi                            W1   0.134803
     56                                 0.999115
     58
     45
     50
     52      52.18565   0.034467
     55      51.51939   12.11467
     57      52.71515   18.35998
     53      55.11779   4.485018
     54      53.17358   0.682976
     48      54.61993    43.8235
     51      50.05893   0.885608
     54      51.75739   5.029304
     50      52.88643   8.331479
     48      49.86379   3.473728
53   49.42775      12.761
54   52.55502   2.087974
52   52.34722    0.12056
55   51.59242   11.61161
53    54.5041   2.262331
49   52.91028   15.29032
     50.42686   141.3545
Demand   Advertising   Sales Promotion Trucks available Estimate the constant and predict
   7          1                5              3           the sales if,
  44          2                2              3
                                                          Advt =30, Sales promotion =39 and
  54          1                2              1           Trucks available are 55
  95          4                2              3
  125        21               17             16
  39         22               19             20
  194        16               17             16
  213        20               21             21
  241        18               16             17
  250        16               17             17              MS           F
  286        21               18             19           176182.3 30.1099
  252        21               15             15           5851.309
  260        22               19             20
  290        21               22             19
  300        20               22             19            t Stat      P-value
  320        19               22             21         -0.493115 0.627893
  424        32               32             36         -0.141756 0.888847
  462        35               36             33           0.717514 0.482265
  512        33               30             36           1.094613 0.288118
  516        32               31             32
  552        36               35             33
  567        36               34             36
             30               39             55         C
                                                          h
                                                          a
                                                          r
                                                          t
                                                          T
                                                        C
                                                          i
                                                        ot
                                                        l
                                                        ul
                                                        me
                                                        n
                                                        C
                                                          y=Adv(x1)+Sp(x2)+TA(x3)
Demand   Advertising   Sales Promotion Trucks available     Model      ESS
   7          1                5              3            56.11958 2412.733
  44          2                2              3            38.12751 34.48611
  54          1                2              1            19.50927 1189.61
  95          4                2              3            35.05113 3593.867
  125        21               17             16            222.1881 9445.519
  39         22               19             20             271.932 54257.31
  194        16               17             16             229.879 1287.303
  213        20               21             21            296.0558 6898.269
  241        18               16             17            231.3962 92.23259
  250        16               17             17            239.9572 100.8573
  286        21               18             19            257.9073 789.1982
  252        21               15             15            201.1406 2586.679
  260        22               19             20             271.932 142.3721
  290        21               22             19            279.8458 103.1072
  300        20               22             19             281.384 346.5548
  320        19               22             21            303.0786 286.3326
  424        32               32             36            489.1016 4238.222
  462        35               36             33            476.1909 201.382
  512        33               30             36            476.5942 1253.571
  516        32               31             32            443.3041 5284.687
  552        36               35             33            469.1681 6861.124
  567        36               34             36            493.9181 5340.962
             30               39             55            722.0565 106746.4
  the constant and predict
s if,
          Significance F
            3.137E-07
                                                    Advertising    -1.53819
                                                  Sales Promotion 5.484625
                                                  Trucks available 10.07821
+Sp(x2)+TA(x3)   SUMMARY OUTPUT
                 Regression Statistics
                 Multiple R 0.913149
                 R Square 0.833841
                 Adjusted R 0.806147
                 Standard E 76.49385
                 Observatio         22
                 ANOVA
                               df        SS
                 Regression          3 528547
                 Residual           18 105323.6
                 Total              21 633870.6
                           Coefficients
                                     Standard Error
                 Intercept -17.6135 35.71886
                 Advertising-1.092742 7.708623
                 Sales Prom 6.342343 8.839326
                 Trucks avai 9.469177 8.650709
  MS           F Significance F
176182.3     30.1099 3.137E-07
5851.309
     Regression Statistics
Multiple R              0.52862
R Square              0.279439
Adjusted R Square     0.189368
Standard Error        9.407122
Observations                 10
ANOVA
                         df        SS      MS        F Significance F
Regression                    1 274.5485 274.5485 3.102455 0.116203
Residual                      8 707.9515 88.49394
Total                         9     982.5
                    Coefficients
                              Standard Error t Stat P-value Lower 95%Upper 95%Lower 95.0%
                                                                                        Upper 95.0%
Intercept            203.4667 6.426288 31.66162 1.078E-09 188.6476 218.2857 188.6476 218.2857
X Variable 1         1.824242 1.03569 1.761379 0.116203 -0.564063 4.212548 -0.564063 4.212548
Upper 95.0%
                            Prepare a forecast using exponential smoothing
Months         Despatches   method for the adjoining data for shipments made
  1      Jan      37.0      from a warehouse
  2      Feb      40.0      1) Estimate the initial Forecast value
  3      Mar      41.0      2) Derive the weights for a forecast
  4      Apr      37.0      3) Predict the shipments for the next month
  5      May      45.0      4) Exponential Smoothing
  6      Jun      50.0
  7      Jul      43.0
  8      Aug      47.0
  9      Sep      56.0
 10      Oct      52.0
 11      Nov      55.0
 12      Dec      54.0
                                                       1       Jan        37.0
                                                       2       Feb        40.0
                                                       3       Mar        41.0
                                                       4       Apr        37.0
                                                       5       May        45.0
                                                       6       Jun        50.0
                                                       7       Jul        43.0
                                                       8       Aug        47.0
                                                       9       Sep        56.0
                                                       10      Oct        52.0
                                                       11      Nov        55.0
                                                       12      Dec        54.0
                                                            13 Jan
                                              SUMMARY OUTPUT
                                               Regression Statistics
                                              Multiple R 0.896304
                                              R Square 0.803361
                                              Adjusted 0.783697
                                              Standard E3.224993
                    α     0.685365            Observatio          12
                    1-α   0.314635
                                              ANOVA
                                                             df          SS      MS
Forecast ESS                                  Regressio            1 424.9108 424.9108
35.21212     3.20                             Residual            10 104.0058 10.40058
36.43747   12.69                              Total               11 528.91667
 38.8791     4.50
40.33269   11.11          ESS        264.27              Coefficients
                                                                   Standard Error t Stat
38.04858   48.32                              Intercept 35.21212 1.984846 17.74048
42.81284   51.66                              X Variable 1.7237762 0.2696875 6.3917542
47.73867   22.45
44.49095     6.30
46.21057   95.83
 52.9199     0.85
52.28943     7.35
54.14716     0.02
 54.0463
    F  Significance F
40.85452 7.92E-05
                                         1        Jan       37.0
                                         2        Feb       40.0
                                         3        Mar       41.0
                                         4        Apr       37.0
                                         5        May       45.0
                                         6        Jun       50.0
                                         7        Jul       43.0
                                         8        Aug       47.0
                                         9        Sep       56.0
                                         10       Oct       52.0
                                         11       Nov       55.0
                                         12       Dec       54.0
                                                             Chart Title
                            60.0
50.0
40.0
30.0
20.0
10.0
                             0.0
                                     1        2    3    4      5       6     7        8
                                                            Column I       Column J
10.0
 0.0
       1   2   3   4      5       6     7        8
                       Column I       Column J
ast for the given data and
 of squares
Model ESS
                  37.0            9.0
                  40.0            1.0
                  41.0           16.0        Ess   287.0
                  37.0           64.0
                  45.0           25.0
                  50.0           49.0
                  43.0           16.0
                  47.0           81.0
                  56.0           16.0
                  52.0            9.0
                  55.0            1.0
Chart Title
5 6 7 8 9 10 11
   Column I       Column J
   5       6     7        8   9   10   11
Column I       Column J
Base      37.42844   100   Trend Multiplicative Model
Trend     1.001494     3
Monthly Trend
        1 0.884216
        2 0.828512
        3 1.041523         MonthNumber Month          Month
        4 0.992114                   1       7/1/2009          7
        5 1.032855                   2       8/1/2009          8
        6 1.09847     2              3       9/1/2009          9
        7 1.164267                   4      10/1/2009         10
        8 1.115686                   5      11/1/2009         11
        9 0.936291                   6      12/1/2009         12
       10 1.00191                    7       1/1/2010          1
       11 0.938553                   8       2/1/2010          2
       12 0.965603                   9       3/1/2010          3
                                    10       4/1/2010          4
                1     1             11       5/1/2010          5
                                    12       6/1/2010          6
                                    13       7/1/2010          7
                                    14       8/1/2010          8
                                    15       9/1/2010          9
                                    16      10/1/2010         10
                                    17      11/1/2010         11
                                    18      12/1/2010         12
                                    19       1/1/2011          1
                                    20       2/1/2011          2
                                    21       3/1/2011          3
                                    22       4/1/2011          4
                                    23       5/1/2011          5
                                    24       6/1/2011          6
                                    25       7/1/2011          7
                                    26       8/1/2011          8
                                    27       9/1/2011          9
                                    28      10/1/2011         10
                                    29      11/1/2011         11
                                    30      12/1/2011         12
                                    31       1/1/2012          1
                                    32       2/1/2012          2
                                    33       3/1/2012          3
                                    34       4/1/2012          4
                                                                                         C
                                                      50.00
                                                      45.00
                                                      40.00
                                                      35.00   R² = 0.00028201580259779
                                                      30.00
                                                      25.00
                                                      20.00
                                                      15.00
50.00
45.00
40.00
35.00    R² = 0.00028201580259779
30.00
25.00
20.00
15.00
10.00
 5.00
 0.00
        1 2 3 4 5 6 7 8 9 101112131
                           Column I
                           Linear (Colum
                                                                      Trend estimate (Forecasting)
                                                                      Multiplicative: Constant*TrendMonthNum
                                                                      Additive : Constant+Trend*MonthNu
           AirlineMiles (billions) Model         ESS
                              44.22 43.641826089     0.329            Estimate for both methods
                              42.40 41.883268722     0.264
                              34.68 35.201249934     0.277
                              37.32 37.72455537      0.165
                              34.58 35.391820269     0.665
                              36.46 36.466257457     0.000   Ess   5.598
                              33.49 33.442557766     0.002
                              30.72 31.382533142     0.441
                              39.37 39.509963972     0.020
                              37.76 37.691869698     0.005
                              38.88 39.298320579     0.172
                              41.90 41.857318698     0.002
                              44.02 44.430826088     0.167
                              42.81 42.640475786     0.030
                              36.13 35.837652869     0.086
                              39.18 38.40657711      0.604
                              36.67 36.031668521     0.409
                              37.43 37.125530445     0.091
                              34.33 34.047165327     0.079
                              31.83 31.949897546     0.016
                              40.51 40.22426409      0.080
                              38.51 38.373300515     0.018
                              40.43 40.008794399     0.177
                              42.57 42.614056612     0.002
                              45.07 45.234090408     0.026
                              42.78 43.411372386     0.396
                              36.70 36.485561323     0.046
                              38.70 39.100929112     0.158
                              36.83 36.683084582     0.021
                              37.49 37.796722422     0.092
                              34.31 34.662703581     0.122
                              33.26 32.527519323     0.543
                              40.78 40.951478031     0.029
                              38.81 39.067050909     0.068
                                   Chart Title
50.00
45.00
40.00
35.00   R² = 0.00028201580259779
30.00
25.00
20.00
15.00
50.00
45.00
40.00
35.00    R² = 0.00028201580259779
30.00
25.00
20.00
15.00
10.00
 5.00
 0.00
        1 2 3 4 5 6 7 8 9 10111213141516171819202122232425262728293031323334
                           Column I              Column J
                           Linear (Column J)     Linear (Column J)
mate (Forecasting)
 e: Constant*TrendMonthNumber*MonthTrend
 onstant+Trend*MonthNumber+MonthTrend
 r both methods
Base        37.3788   100   Additive Model
Trend      0.059023     3
Monthly Trend
        1 -4.457438
        2 -6.62377
        3 1.600955
        4 -0.31903
        5 1.28147           MonthNumMonth      Month      AirlineMiles (bi
        6 3.793168      2         1   7/1/2009          7         44.22
        7 6.290368                2   8/1/2009          8         42.40
        8 4.458436                3   9/1/2009          9         34.68
        9 -2.42952                4 10/1/2009          10         37.32
      10 0.078045                 5 11/1/2009          11         34.58
      11 -2.35736                 6 12/1/2009          12         36.46
      12 -1.31532                 7   1/1/2010          1         33.49
                                  8   2/1/2010          2         30.72
         8.333E-08      0         9   3/1/2010          3         39.37
                                 10   4/1/2010          4         37.76
                                 11   5/1/2010          5         38.88
                                 12   6/1/2010          6         41.90
                                 13   7/1/2010          7         44.02
                                 14   8/1/2010          8         42.81
                                 15   9/1/2010          9         36.13
                                 16 10/1/2010          10         39.18
                                 17 11/1/2010          11         36.67
                                 18 12/1/2010          12         37.43
                                 19   1/1/2011          1         34.33
                                 20   2/1/2011          2         31.83
                                 21   3/1/2011          3         40.51
                                 22   4/1/2011          4         38.51
                                 23   5/1/2011          5         40.43
                                 24   6/1/2011          6         42.57
                                 25   7/1/2011          7         45.07
                                 26   8/1/2011          8         42.78
                                 27   9/1/2011          9         36.70
                                 28 10/1/2011          10         38.70
                                 29 11/1/2011          11         36.83
                                 30 12/1/2011          12         37.49
                                 31   1/1/2012          1         34.31
                                 32   2/1/2012          2         33.26
                                 33   3/1/2012          3         40.78
                                 34   4/1/2012          4         38.81
Model     ESS
43.72819     0.237
41.95529     0.195
35.12636     0.203
37.69294     0.141   ESS    4.925
35.31656     0.548
36.41762     0.002
33.33453     0.023
31.22722     0.259
39.51097     0.020
    37.65    0.013
39.30953     0.181
41.88025     0.000
                                                            Chart Title
44.43647     0.172         50.00
42.66356     0.022         45.00
35.83463     0.088         40.00
38.40122     0.612         35.00
36.02483     0.418         30.00
mn K
                                                     1        2
          Diet     Coke    Price     Respondents   Diet    Coke
mean     -0.2375 0.264167 -11.6417        1        -3.8      6.6
Sd     5.527381 4.454547 2.589429         2          1      -1.6
                                          3         4.6      -6
                                          4         5.8       6
                                          5         4.6      -6
                                          6        -5.8      5.8
                                          7         4.4     -4.8
                                          8        -8.4     -2.8
                                          9         6.8     -5.2
                                         10        0.00      1.6
                                         11        -6.8     -3.4
                                         12         7.6     -5.2
                                         13         -1       1.6
                                         14         4.4      4.8
                                         15         8.4      3.4
                                         16         5.8      6.2
                                         17         4.6       6
                                         18         3.8     -6.6
                                         19          1      -1.6
                                         20        -4.4     -5.2
                                         21        -2.5     -1.1
                                         22         6.8     -4.2
                                         23         -2    -2E-16
                                         24         4.6       6
                                         25        -7.2     -4.4
                                         26        -7.6     -4.4
                                         27         5.8       6
                                         28         6.8      4.2
                                         29        -5.8     -5.2
                                         30        -6.8     -3.4
                                         31        -6.8     -4.4
                                         32          2    -4E-16
                                         33        -7.6     -4.4
                                         34         7.6      5.2
                                         35         6.8      4.2
                                         36        -6.8     -3.4
                                         37        -4.8      5.8
                                         38        -5.8     -5.2
                                         39        -6.8     -3.4
                                         40        -6.3     -4.9
                                         41          1       1.6
                                         42         6.8      5.2
                                         43         -1      -1.6
                                         44         4.6       6
                                         45        -4.4      4.2
46   -5.8      5.8
47   -4.6      5.2
48    6.8     -4.2
49   -5.4     -3.4
50   -5.8      5.8
51    -2      -0.8
52   -4.6     -5.2
53    -1      -1.6
54   -5.8      5.8
55   -7.6       5
56    5.8     -6.6
57    -2      -0.8
58   -4.4     -5.2
59   -5.8     -5.2
60     2       0.8
61    -1      -1.6
62   -5.8      5.4
63    -1      -1.6
64    5.8      -6
65   -4.6     -5.2
66    6.6      -4
67   -7.6     -4.4
68   -4.4     -5.2
69    -1      -1.6
70    7.6      5.2
71    4.4     -4.8
72   -1.4     -1.2
73   -7.6      4.4
74    8.4     -3.4
75    4.4      5.2
76    4.6       6
77   -6.8     -4.4
78   -5.8     -5.8
79   -6.8      4.4
80     2    -4E-16
81   -5.2      5.2
82   -6.8      3.4
83    4.4     -5.2
84    6.8      5.2
85    5.8      6.6
86     2      -0.8
87    5.8       6
88   -6.8      4.4
89    -2      -0.8
90     2       0.8
91     2    -4E-16
92   -7.6      4.4
93    -1      -1.6
94    4.9      4.3
95     6.7   -4.1
96    -6.8    3.4
97     7.6   -5.2
98    -5.8    5.2
99     7.6    3.4
100   -5.8    5.2
101   -7.6    4.4
102    4.2    6.2
103     1    -1.6
104   -5.4    3.4
105    5.8    -6
106    3.8    7.2
107     2     0.8
108    4.4    5.8
109   -6.8    3.4
110    6.8    4.2
111    -1    -1.6
112    6.3   -5.5
113    8.4   -3.4
114     2    -0.8
115   -6.2    5.8
116   -6.8    4.4
117    6.8   -4.6
118   -6.6    3.4
119   -7.6    2.8
120    7.2   -5.2
                               BY Eucledian Formula
  3
Price    Z_Diet    Z_Coke      Z_Price Dist_1   Dist_2    Dist_3   Dist_4   Dist_5    Min
 -9.6   -0.64452   1.422329    0.788462 9.363348 0.253562 6.893254 3.058507 10.14844 0.253562
 -16    0.223885   -0.41849    -1.68313 0.196595 9.212797 7.662066 9.033992 5.903539 0.196595
-11.2   0.875188   -1.40624    0.170565 5.775606 10.07659 4.164526 7.518864 0.310884 0.310884
 -10    1.092289   1.287636    0.633988 9.678307 4.436556 10.77967         0 5.748874         0
-11.2   0.875188   -1.40624    0.170565 5.775606 10.07659 4.164526 7.518864 0.310884 0.310884
 -8.8   -1.00635   1.242738    1.097411 10.83444 0.232903 5.992739 4.621079 11.1304 0.232903
-12.8   0.839005   -1.13685    -0.44733 3.28139 9.614163 4.917145 7.111551 0.912381 0.912381
 -9.6   -1.47674   -0.68787    0.788462 7.841585 3.470445 0.390451 10.52641 7.874624 0.390451
 -10    1.273207   -1.22665    0.633988 8.376187 10.64719 5.621527 6.354359 0.071833 0.071833
 -16    0.042968   0.299881    -1.68313 0.459255 7.123218 8.79733 7.44575 7.799598 0.459255
-11.2   -1.18727   -0.82257    0.170565 4.634525 3.974752 0.336334 9.864114 6.180212 0.336334
 -8.8   1.417941   -1.22665    1.097411 11.18893 11.54276 6.54328 6.642437 0.522302 0.522302
 -16    -0.13795   0.299881    -1.68313 0.400339 6.776268 8.417648 7.858163 8.277473 0.400339
-12.8   0.839005   1.018248    -0.44733 4.442505 4.582664 9.658365 1.305975 5.363323 1.305975
 -9.6   1.562675   0.703962    0.788462 10.31862 6.787052 10.56849 0.585799 3.458251 0.585799
 -9.4   1.092289   1.332533    0.865699 10.95296 4.508388 11.0551 0.055706 6.125638 0.055706
-11.2   0.875188   1.287636    0.170565    7.227 3.787214 10.09105 0.261893 5.874562 0.261893
-10.8   0.730454   -1.54093     0.32504 6.387314 10.12904 3.579996 8.227184 0.502128 0.502128
 -16    0.223885   -0.41849    -1.68313 0.196595 9.212797 7.662066 9.033992 5.903539 0.196595
-11.6   -0.75307   -1.22665    0.016091 3.988247 5.896741 0.504492 10.10877 4.273076 0.504492
-15.8   -0.40933   -0.30624    -1.60589 0.046074 7.373691 6.217397 9.812339 7.48099 0.046074
-11.2   1.273207   -1.00216    0.170565 6.090572 9.864114 5.856446 5.490653 0.061753 0.061753
 -16    -0.31887     -0.0593   -1.68313 0.084353 7.204351 7.184213 9.174621 7.949974 0.084353
-11.2   0.875188   1.287636    0.170565    7.227 3.787214 10.09105 0.261893 5.874562 0.261893
 -9.4   -1.25964   -1.04706    0.865699 8.113635 4.762304 0.092801 11.03604 6.63208 0.092801
 -8.8   -1.33201   -1.04706    1.097411 9.505618 4.965271 0.282675 11.54276 7.272357 0.282675
 -10    1.092289   1.287636    0.633988 9.678307 4.436556 10.77967         0 5.748874         0
-11.2   1.273207   0.883554    0.170565 7.106548 5.461552 10.00501 0.410774 3.956328 0.410774
 -10    -1.00635   -1.22665    0.633988 6.80902 5.450791 0.012718 10.72593 5.268229 0.012718
-11.2   -1.18727   -0.82257    0.170565 4.634525 3.974752 0.336334 9.864114 6.180212 0.336334
 -10    -1.18727   -1.04706    0.633988 6.839507 4.677192 0.020782 10.64719 6.109658 0.020782
 -16    0.404803     -0.0593   -1.68313 0.450942 8.723076 8.833863 7.655896 6.169399 0.450942
 -8.8   -1.33201   -1.04706    1.097411 9.505618 4.965271 0.282675 11.54276 7.272357 0.282675
 -8.8   1.417941   1.108044    1.097411 12.44681 6.091965 11.6796 0.353063 5.344155 0.353063
-11.2   1.273207   0.883554    0.170565 7.106548 5.461552 10.00501 0.410774 3.956328 0.410774
-11.2   -1.18727   -0.82257    0.170565 4.634525 3.974752 0.336334 9.864114 6.180212 0.336334
 -9.8   -0.82544   1.242738    0.711225 8.580673 0.056839 5.849406 3.685653 9.950543 0.056839
 -10    -1.00635   -1.22665    0.633988 6.80902 5.450791 0.012718 10.72593 5.268229 0.012718
-11.2   -1.18727   -0.82257    0.170565 4.634525 3.974752 0.336334 9.864114 6.180212 0.336334
 -10    -1.09681     -1.1593   0.633988 6.844806 5.149041        0 10.77967 5.675217          0
 -16    0.223885   0.299881    -1.68313 0.583633 7.535631 9.242473    7.0988 7.387186 0.583633
 -10    1.273207   1.108044    0.633988 9.634062 5.196396 10.75785 0.064984 4.893686 0.064984
 -16    -0.13795   -0.41849    -1.68313   0.0133 8.453435 6.837242 9.793355 6.793826     0.0133
-11.2   0.875188   1.287636    0.170565    7.227 3.787214 10.09105 0.261893 5.874562 0.261893
-12.8   -0.75307   0.883554    -0.44733 3.291303 1.283801 5.460674 4.737882 8.730266 1.283801
 -8.8   -1.00635    1.242738    1.097411   10.83444   0.232903   5.992739   4.621079    11.1304   0.232903
-11.2   -0.78925    1.108044    0.170565   5.835542   0.261893   5.450212   3.787214   9.147426   0.261893
-11.2   1.273207    -1.00216    0.170565   6.090572   9.864114   5.856446   5.490653   0.061753   0.061753
-12.8   -0.93399    -0.82257    -0.44733     2.2948    4.90175   1.309155   9.728004   5.666107   1.309155
 -8.8   -1.00635    1.242738    1.097411   10.83444   0.232903   5.992739   4.621079    11.1304   0.232903
 -16    -0.31887    -0.23889    -1.68313   0.019847   7.655896   6.821365   9.690672   7.611315   0.019847
-11.2   -0.78925    -1.22665    0.170565   4.577667   5.712685   0.313889   10.07659   4.325572   0.313889
 -16    -0.13795    -0.41849    -1.68313     0.0133   8.453435   6.837242   9.793355   6.793826     0.0133
 -8.8   -1.00635    1.242738    1.097411   10.83444   0.232903   5.992739   4.621079    11.1304   0.232903
 -7.6   -1.33201    1.063146    1.560833   13.71866   0.967107   5.853634   6.786642   12.77384   0.967107
 -8.8   1.092289    -1.54093    1.097411    10.8977   11.63615   5.152571   8.215571   0.717525   0.717525
 -16    -0.31887    -0.23889    -1.68313   0.019847   7.655896   6.821365   9.690672   7.611315   0.019847
-11.6   -0.75307    -1.22665    0.016091   3.988247   5.896741   0.504492   10.10877   4.273076   0.504492
 -10    -1.00635    -1.22665    0.633988    6.80902   5.450791   0.012718   10.72593   5.268229   0.012718
 -16    0.404803    0.120289    -1.68313   0.579955   8.336037   9.261218   7.204351   6.572564   0.579955
 -16    -0.13795    -0.41849    -1.68313     0.0133   8.453435   6.837242   9.793355   6.793826     0.0133
 -9.4   -1.00635    1.152942    0.865699   9.325417   0.055706   5.408345   4.476135   10.45072   0.055706
 -16    -0.13795    -0.41849    -1.68313     0.0133   8.453435   6.837242   9.793355   6.793826     0.0133
 -10    1.092289    -1.40624    0.633988   8.226913   10.72593   4.853145   7.256971   0.185197   0.185197
-11.2   -0.78925    -1.22665    0.170565   4.577667   5.712685   0.313889   10.07659   4.325572   0.313889
-11.6   1.237023    -0.95726    0.016091   5.377232   9.680023   5.869406   5.442307   0.168591   0.168591
 -8.8   -1.33201    -1.04706    1.097411   9.505618   4.965271   0.282675   11.54276   7.272357   0.282675
-11.6   -0.75307    -1.22665    0.016091   3.988247   5.896741   0.504492   10.10877   4.273076   0.504492
 -16    -0.13795    -0.41849    -1.68313     0.0133   8.453435   6.837242   9.793355   6.793826     0.0133
 -8.8   1.417941    1.108044    1.097411   12.44681   6.091965    11.6796   0.353063   5.344155   0.353063
-12.8   0.839005    -1.13685    -0.44733    3.28139   9.614163   4.917145   7.111551   0.912381   0.912381
 -16    -0.21032    -0.32869    -1.68313          0   8.066895   6.844806   9.678307   7.132318          0
 -8.8   -1.33201    0.928452    1.097411   10.56997   0.353063   4.628794   6.220977   11.35239   0.353063
 -9.6   1.562675    -0.82257    0.788462    9.49616   10.35103   7.210125   4.698083   0.305501   0.305501
-12.2   0.839005    1.108044    -0.21562   5.318852   4.127182   9.610081   0.818241   5.410324   0.818241
-11.2   0.875188    1.287636    0.170565      7.227   3.787214   10.09105   0.261893   5.874562   0.261893
 -10    -1.18727    -1.04706    0.633988   6.839507   4.677192   0.020782   10.64719   6.109658   0.020782
 -8.8   -1.00635    -1.36134    1.097411   9.431429   6.312632   0.263764   11.63615   5.752177   0.263764
 -10    -1.18727    0.928452    0.633988   7.903862   0.064984   4.366901   5.325409   10.18969   0.064984
 -16    0.404803      -0.0593   -1.68313   0.450942   8.723076   8.833863   7.655896   6.169399   0.450942
-10.6     -0.8978   1.108044    0.402277   6.885745   0.065473   5.234153   4.046412   9.553281   0.065473
-11.2   -1.18727    0.703962    0.170565   5.456981   0.410774   3.694698   5.751831   9.332962   0.410774
-12.2   0.839005    -1.22665    -0.21562   4.060977   9.577974   4.473758   7.107615    0.58847    0.58847
 -10    1.273207    1.108044    0.633988   9.634062   5.196396   10.75785   0.064984   4.893686   0.064984
 -8.8   1.092289    1.422329    1.097411   12.49423   4.717839   11.67175   0.232903    6.83757   0.232903
 -16    0.404803    -0.23889    -1.68313   0.386435   9.174621   8.471014   8.171947   5.830741   0.386435
 -10    1.092289    1.287636    0.633988   9.678307   4.436556   10.77967          0   5.748874          0
 -10    -1.18727    0.928452    0.633988   7.903862   0.064984   4.366901   5.325409   10.18969   0.064984
 -16    -0.31887    -0.23889    -1.68313   0.019847   7.655896   6.821365   9.690672   7.611315   0.019847
 -16    0.404803    0.120289    -1.68313   0.579955   8.336037   9.261218   7.204351   6.572564   0.579955
 -16    0.404803      -0.0593   -1.68313   0.450942   8.723076   8.833863   7.655896   6.169399   0.450942
 -8.8   -1.33201    0.928452    1.097411   10.56997   0.353063   4.628794   6.220977   11.35239   0.353063
 -16    -0.13795    -0.41849    -1.68313     0.0133   8.453435   6.837242   9.793355   6.793826     0.0133
-12.8   0.929464    0.906003    -0.44733   4.350753   4.957461   9.540533   1.341408   4.831831   1.341408
-11.4   1.255115   -0.97971    0.093328   5.727105   9.765272   5.856129   5.459683   0.108375   0.108375
-11.2   -1.18727   0.703962    0.170565   5.456981   0.410774   3.694698   5.751831   9.332962   0.410774
 -8.8   1.417941   -1.22665    1.097411   11.18893   11.54276    6.54328   6.642437   0.522302   0.522302
 -10    -1.00635   1.108044    0.633988   8.066895          0   5.149041   4.436556   10.09008          0
-10.8   1.417941   0.703962     0.32504   7.750321   6.135935   9.891188   0.542173   3.252234   0.542173
 -10    -1.00635   1.108044    0.633988   8.066895          0   5.149041   4.436556   10.09008          0
 -8.8   -1.33201   0.928452    1.097411   10.56997   0.353063   4.628794   6.220977   11.35239   0.353063
 -11    0.802821   1.332533    0.247802   7.514596   3.472649   9.966993   0.234947   6.123271   0.234947
 -16    0.223885   -0.41849    -1.68313   0.196595   9.212797   7.662066   9.033992   5.903539   0.196595
-12.8   -0.93399   0.703962    -0.44733   3.117256   1.337771   4.667519   5.615721   8.818858   1.337771
 -10    1.092289   -1.40624    0.633988   8.226913   10.72593   4.853145   7.256971   0.185197   0.185197
 -9.6   0.730454   1.557023    0.788462   10.54971   3.241947   10.74119   0.227357   7.460807   0.227357
 -16    0.404803   0.120289    -1.68313   0.579955   8.336037   9.261218   7.204351   6.572564   0.579955
-11.6   0.839005   1.242738    0.016091   6.457799   3.805287   9.898981   0.447966   5.788462   0.447966
-11.2   -1.18727   0.703962    0.170565   5.456981   0.410774   3.694698   5.751831   9.332962   0.410774
-11.2   1.273207   0.883554    0.170565   7.106548   5.461552   10.00501   0.410774   3.956328   0.410774
 -16    -0.13795   -0.41849    -1.68313     0.0133   8.453435   6.837242   9.793355   6.793826     0.0133
 -10    1.182748      -1.294   0.633988    8.24146   10.56196   5.214539   6.673005   0.102693   0.102693
 -9.6   1.562675   -0.82257    0.788462    9.49616   10.35103   7.210125   4.698083   0.305501   0.305501
 -16    0.404803   -0.23889    -1.68313   0.386435   9.174621   8.471014   8.171947   5.830741   0.386435
 -8.2   -1.07872   1.242738    1.329122   12.29715   0.506591   6.253334   5.198512    11.8414   0.506591
 -10    -1.18727   0.928452    0.633988   7.903862   0.064984   4.366901   5.325409   10.18969   0.064984
-10.6   1.273207   -1.09196    0.402277   7.132318   10.09008   5.675217   5.748874          0          0
-11.6   -1.15109   0.703962    0.016091   4.838759   0.566026   3.856497   5.755212   9.251663   0.566026
-10.8   -1.33201   0.569268     0.32504   6.097242   0.491777   3.138722   6.488704    9.55276   0.491777
 -9.4   1.345574   -1.22665    0.865699   9.723634   11.03604   6.023476   6.439471    0.23814    0.23814
                                                    Cl
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        5               Z_Diet    Z_Coke      Z_Price
                                                    th
        2         72   -0.21032   -0.32869    -1.68313
                                                    eR
        5        100   -1.00635   1.108044    0.633988
                                                    es
        3         40   -1.09681     -1.1593   0.633988
                                                    po
        5         27   1.092289   1.287636          nd
                                              0.633988
        1        117   1.273207   -1.09196          en
                                              0.402277
        3                                           ts
        5                                           in
                                                    5
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        4   Mini Dist. 37.91902                     ps
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        3
        3
        3
        1
        4
        1
        4
        2
2
2
5
3
2
1
3
1
2
2
5
1
3
3
1
1
2
1
5
3
5
3
3
1
4
5
1
2
5
4
4
3
3
2
1
2
2
5
4
4
1
4
2
1
1
1
2
1
4
5
2
5
2
4
2
2
4
1
2
5
4
1
4
2
4
1
5
5
1
2
2
5
2
2
5
               A                B         C             D          E          F          G             H          I         J       K         L        M            N    O          P         Q          R         S           T
1                                                   Customer Lifetime Value
2
3
4
5                                                                                                Discount             0.1       Managing Customers as Investments
                                                                                                                                                                        There are 100 customers and the company serves
6                                                                                                retention rate       0.8       Gupta and Lehmann
                                                                                                                                                                        them with a discount rate of 10%. The retention of the
7                                                                                                                                                                       customers is 80% over the previous year.
8                                      Years                  Customers Discounted value of earnin Customers          100
9                                               1           0        100         1                                                                                      1) Prepare a discount table for a 50 year period
10                                              2           1         80 0.9090909                                                                                      2) Prepare a retention discount matrix for the data.
11 Managing Customers as Investments            3           2         64 0.8264463
12 Gupta and Lehmann                            4           3       51.2 0.7513148                                                                                      Use the following model for calculating the margin
13                                              5           4      40.96 0.6830135                                                                                      multiple values
14                                              6           5     32.768 0.6209213
                                                                                                                                                                        r/(1-r)+d
15                                              7           6 26.2144 0.5644739
16                                              8           7 20.97152 0.5131581
17                                              9           8 16.777216 0.4665074
18                                             10           9 13.421773 0.4240976
19                                             11          10 10.737418 0.3855433
20                                             12          11 8.5899346 0.3504939
21                                             13          12 6.8719477 0.3186308
22                                             14          13 5.4975581 0.2896644
23                                             15          14 4.3980465 0.2633313
24                                             16          15 3.5184372 0.239392
25                                             17          16 2.8147498 0.2176291
26                                             18          17 2.2517998 0.1978447
27                                             19          18 1.8014399 0.1798588
28                                             20          19 1.4411519 0.163508
29                                             21          20 1.1529215 0.1486436
30                                             22          21 0.9223372 0.1351306
31                                             23          22 0.7378698 0.122846
32                                             24          23 0.5902958 0.1116782
33                                             25          24 0.4722366 0.1015256
34                                             26          25 0.3777893 0.092296
35                                             27          26 0.3022315 0.0839055
36                                             28          27 0.2417852 0.0762777
37                                             29          28 0.1934281 0.0693433
38                                             30          29 0.1547425 0.0630394
39                                             31          30 0.123794 0.0573086
40                                             32          31 0.0990352 0.0520987
41                                             33          32 0.0792282 0.0473624
42                                             34          33 0.0633825 0.0430568
43                                             35          34 0.050706 0.0391425
44                                             36          35 0.0405648 0.0355841
45                                             37          36 0.0324519 0.0323492
46                                             38          37 0.0259615 0.0294083
47                                             39          38 0.0207692 0.0267349
48                                             40          39 0.0166153 0.0243044
49                                             41          40 0.0132923 0.0220949
50                                             42          41 0.0106338 0.0200863
51                                             43          42 0.0085071 0.0182603
52                                             44          43 0.0068056 0.0166002
53                                             45          44 0.0054445 0.0150911
54                                             46          45 0.0043556 0.0137192
55                                             47          46 0.0034845 0.012472
56                                             48          47 0.0027876 0.0113382
57                                             49          48 0.0022301 0.0103074
58                                             50          49 0.0017841 0.0093704
                                      Churn And Retention will be found by a Churn Retention mod
C   Churn             0.25
R   Retention         0.75 1-C
i   Discount          0.12
T* = t/T
   T          N         t       T*
   1          1         1             1
   2                    0             0
   3                    0             0
   4                    0             0
   5           1        5             1
   6           1        6             1
   7                    0             0
   8                    0             0
   9           1        9             1
   10                   0             0
           Prob. of
           he being
           alive       0.6561
and present time
Customers 1 and 2 have been with a company for 12 months. Customer 1
has made four purchases and Customer 2 has made two purchases. Each customer’s
last purchase was at the end of month 8.
Which customer is most likely to still be active? Can you explain this result?
     Customer 1 Customer 2
1        1                         1        0
2                   1              0        2
3        1                         3        0
4                                  0        0
5        1                         5        0
6                                  0        0
7                                  0        0
8        1          1              8        8
9                                  0        0
10                                 0        0
11                                 0        0
12                                 0        0
                               0.197531 0.444444
               So customer 2
               will buy more
               in coming
               time
To find Aggregate Churn
Chances of Quits
                             Support
Total Trans           120
Apple only             55       0.458
oranges only           30       0.250
Grapes only            25       0.208
Apple,oranges          23    0.41818 Oranges
Apple,Grapes           10          0.4 Apple
Grapes,oranges         17        0.68 Oranges
Lift(A,O)        1.672727
A,G              0.872727
O,G                   2.72
0.766667 Apple
0.181818 Grapes   Confidence
0.566667 Grapes
                                   Points
                      Recency       20        if less than      3           months
                                    10        if less than      6           months
                                     6        if less than      9           months
                                     3        if less than      12          months
                                                             Weight        Weight
           Recency                            Frequency                    Points
                      Weight(R Weight(P
Customer                                        (Times                     (frequenc $Spent
                      ecency)   oints)
           (months)                           purchased)                   y)
   A         3               20          60        4                  20           80   1722
   F         20               1          20        5                  20          100    50
   P         6               10          60        7                  20          140   150
   M         9                6          54        1                   5            5   1654
   K         13               1          13        1                   5            5   1202
   O         15               1          15        7                  20          140   190
   B         10               3          30        7                  20          140   1510
   D         6               10          60        5                  20          100   2000
   E         2               20          40        4                  20           80   1567
                                             Data for Customers
                                                                    Frequenc
                                                          Recency
                                                                    y (Times
                                               Customer                      $ spent
                                                                    purchase
                                                           (months)
                                                                        d)
                                                  A           3        4      1722
                                                  F           20       5       50
Value of Purchase                                 P           6        7      150
                                                  M           9        1      1654
                                                  K           13       1      1202
                                                  O           15       7      190
                                                  B           10       7      1510
                                                  D           6        5      2000
                                                  E           2        4      1567
                       Total
                       Weight
         Weight                   Rank
                  20        160          5
                   5        125          7
                  15        215          1
                  20         79          8
                  20         38          9
                  19        174          4
                  20        190          2
                  20        180          3
                  20        140          6
Sales    Price        Ad        P*A         Model    ESS
   22845          8         1           8   24339.34   2233050.93
   20417          9         8          72   20472.77       3109.84
   23761          5         3          15   23893.06      17439.30
   22674          4        12          48   21890.89     613261.05
   22782          7         5          35   22697.73       7100.64
   23807          5         3          15   23893.06       7405.97
   18924         10         9          90   19390.28     217414.77
   21855          9         5          45   22107.22      63615.93
   21749         10         4          40   22417.39     446742.06
   22683          4        12          48   21890.89     627438.03
   20968          6        11          66   20814.94      23427.60
   22202         10         2          20   23628.23   2034136.82
   23241          6         5          30      22993      61508.45
   19004         10         9          90   19390.28     149210.36
   23978          4         1           4   24550.71     327998.44
   20497          8         9          72   20465.62        984.89
   22322          9         3          27   23196.86     765378.84
   22628          8         4          32   22886.69      66922.41
   21051         10         6          60   21206.54      24193.82
   24515          3         3           9   24241.16      74989.85
   22126         10         2          20   23628.23   2256700.04
   22141          5        11          55   21473.82     445134.95
   21151          9         7          63   21017.58      17799.66
   22558          5        10          50   21776.22     611178.49
   21734          7         8          56    21426.9      94311.18
   22137          6         9          54      21541     355267.86
   23368          5         7          35   22683.44     468626.77
   24572          3         7          21   23516.36   1114369.73
   23732          5         4          20   23590.65      19979.07
   24717          3         6          18   23697.56   1039254.91
   21618          8         7          56      21434      33838.45
   24346          3         9          27      23154   1420945.79
   24041          3        11          33   22791.57   1561079.06
   18068         10        10         100   18784.86     513881.89
   22820          8         1           8   24339.34   2308392.91
   22842          8         3          24   23370.91     279744.71
   23166          6         6          36      22630     287314.87
   20979          9         7          63   21017.58       1488.77
   22499          9         2          18   23741.68   1544248.60
   21026          9         7          63   21017.58         70.82
   24599          3         6          18   23697.56     812591.41
   23676          5         1           5   24497.87     675467.86
   22855          6         7          42      22267     345774.86
   21756         10         4          40   22417.39     437433.63
   20976         10         6          60   21206.54      53150.36
22111   10    2    20   23628.23   2301991.99
21038    6   11    66   20814.94     49756.11
23050    6    6    36      22630    176414.79
24054    4    7    28    23099.9    910307.11
22184    7    7    49   21850.51    111215.10
24024    4    2     8   24308.91     81173.45
24255    3    1     3   24603.55    121490.20
23635    5    1     5   24497.87    744542.08
20533   10    7    70   20601.12      4640.55
24313    3    1     3   24603.55     84421.89
24347    3    2     6   24422.36      5678.50
24102    3   11    33   22791.57   1717230.71
24482    3    2     6   24422.36      3557.42
15799   10   12   120      17574   3150665.90
21597    6   10    60   21177.95    175604.69
22450    9    3    27   23196.86    557798.85
18978    8   11    88   19497.19    269554.50
20687    7   10    70   20579.67     11518.70
20773    7   10    70   20579.67     37374.64
23681    5    5    25   23288.25    154254.63
22191   10    2    20   23628.23   2065634.92
24244    4    4    16   23825.31    175304.95
22617    8    4    32   22886.69     72734.67
23139    6    6    36      22630    259098.92
22154    5   11    55   21473.82    462650.74
23364    4   10    40   22374.49    979122.08
22942    7    4    28   23121.35     32165.22
21639    6   10    60   21177.95    212569.07
22633    7    6    42   22274.12    128792.92
23145    5    8    40      22381    583647.85
23384    4   10    40   22374.49   1019102.32
22232   10    2    20   23628.23   1949462.92
22820    5    9    45   22078.63    549635.07
18850   10    9    90   19390.28    291899.85
24627    3    8    24   23335.16   1668839.51
23091    7    1     7   24392.18   1693076.14
24034    4    2     8   24308.91     75575.26
23002    7    4    28   23121.35     14243.62
19346    7   12    84   19732.45    149344.24
23127    7    1     7   24392.18   1600686.99
24508    3    8    24   23335.16   1375543.61
23864    5    3    15   23893.06       844.36
19054    8   11    88   19497.19    196414.17
22178   10    2    20   23628.23   2103171.94
23862    5    4    20   23590.65     73629.38
22339    8    5    40   22402.48      4029.50
21580    9    6    54    21562.4       309.64
23114    7    3    21      23545    185725.35
21066    6   11    66   20814.94     63031.51
23126    7    1     7   24392.18   1603218.36
21993    5   11    55   21473.82    269552.38
22952    5    9    45   22078.63    762781.74
24233    4    6    24    23341.7    794412.51
20346    9    8    72   20472.77     16069.61
24658    3    6    18   23697.56    922442.16
21884    7    8    56    21426.9    208941.56
22610    7    6    42   22274.12    112813.56
22232   10    2    20   23628.23   1949462.92
18847    9   10    90   19383.13    287433.91
20109    7   11    77   20156.06      2214.91
20331    6   12    72   20451.93     14624.21
23713    5    5    25   23288.25    180414.79
21883    9    5    45   22107.22     50275.50
23460    4   10    40   22374.49   1178323.23
21093    8    8    64   20949.83     20496.97
22595    5   10    50   21776.22    670399.14
23652    4    9    36    22616.3   1072682.86
19690   10    8    80    19995.7     93452.24
23815    5    5    25   23288.25    277468.33
21002    6   11    66   20814.94     34991.73
21661    8    7    56      21434     51507.35
21572    9    6    54    21562.4        92.10
22366    9    3    27   23196.86    690327.22
21630    5   12    60   21171.41    210304.45
22106    6    9    54      21541    319274.16
22643    8    4    32   22886.69     59386.60
23951    4    1     4   24550.71    359653.86
23403    6    3    18      23719     99861.24
24059    4    2     8   24308.91     62454.78
23387    6    2    12      24082    483048.52
22033    6    9    54      21541    242106.81
20002    7   11    77   20156.06     23735.35
21516    5   12    60   21171.41    118742.01
22572    8    4    32   22886.69     99032.10
22552    8    4    32   22886.69    112019.84
22927    7    5    35   22697.73     52562.59
23223    6    5    30      22993     52904.13
24287    3    1     3   24603.55    100206.72
24600    3    3     9   24241.16    128768.11
21517    5   12    60   21171.41    119432.19
23672    5    6    30   22985.84    470812.68
22034    6    9    54      21541    243091.90
20464    9    8    72   20472.77        76.84
22007   10    3    30   23022.81   1031869.29
16957    9   12   108   18293.49   1786208.97
22740    8    2    16   23855.12   1243502.22
22576    5   10    50   21776.22    639646.54
24257    3   10    30   22972.77   1649254.15
16825    9   12   108   18293.49   2156466.67
20463    6   12    72   20451.93       122.53
21541    6   10    60   21177.95    131806.85
21884    9    5    45   22107.22     49828.05
22047    9    5    45   22107.22      3626.69
24270    4    5    20    23583.5    471277.14
24248    4    5    20    23583.5    441555.30
22737    8    3    24   23370.91    401840.60
23271    6    5    30      22993     77288.99
22653    8    4    32   22886.69     54612.73
24576    3    7    21   23516.36   1122830.83
18095    8   12    96      19013    842670.87
23815    5    2    10   24195.46    144752.27
22886    7    5    35   22697.73     35443.83
23843    5    5    25   23288.25    307750.48
21046   10    6    60   21206.54     25774.25
20544    8    9    72   20465.62      6143.89
20384    6   12    72   20451.93      4614.57
21130    6   11    66   20814.94     99263.29
23495    5    7    35   22683.44    658634.83
18869   10    9    90   19390.28    271730.31
23943    4    7    28    23099.9    710817.88
24761.47
7.760383 P                   A company is currently using a sales model of
0.611444 A
-60.6033 P*A                 Sales = c0+c1P+c2A+c3(P*A)
                             What is the predicted value in case the company was to Pri
SUM            82110063.44   product at 12 and spend 8 in advertising?
*A)
e the company was to Price the
rtising?
3(P*A)+ c4 P2 + c5A2
sales? Why?
Chapter 8
Problem 1
             Cart             Price
 Week       Notice? Coupon? Reduction?   Sales
  1          Yes      Yes       0         36
  2          Yes      Yes       1         38
  3          Yes      Yes       2         40
  4          Yes      No        0         40
  5          Yes      No        1         42
  6          Yes      No        2         44
  7           No      Yes       0         12
  8           No      Yes       1         20
  9           No      Yes       2         30
  10          No      No        0          8
  11          No      No        1         16
  12          No      No        2         33
Sum
             Cart             Price
 Week       Notice? Coupon? Reduction?   Sales   Model   ESS
  1           1        1        0         36     35.99537 2.14E-05
  2           1        1        1         38     38.00132 1.74E-06
  3           1        1        2         40     40.00726 5.28E-05
  4           1        0        0         40      39.9934 4.35E-05
  5           1        0        1         42     41.99935 4.24E-07
  6           1        0        2         44     44.00529 2.8E-05
  7           0        1        0         12     11.99911 8.01E-07
  8           0        1        1         20      19.9975 6.25E-06
  9           0        1        2         30     29.99338 4.38E-05
  10          0        0        0          8       8.0072 5.18E-05
  11          0        0        1         16      16.0056 3.13E-05
  12          0        0        2         33     32.99267 5.38E-05
                   For 12 straight weeks, you have observed the sales (in number
                   of cases) of canned tomatoes at Mr. D's Supermarket . (See
                   the file Gr o ce r y . xl s x.) Each week, you keep track of the
                   following:
                   Was a promotional notice for canned tomatoes placed in all
                   shopping carts?
                   Was a coupon for canned tomatoes given to each customer?
                   Was a price reduction (none, 1, or 2 cents off) given?
Constant 0.017266
  Cart
 Notice? 0.026467
Coupon? -0.00306
 Price
Reductio
  n?     0.008462
 Sales 0.998742
0.000336 Minimise
                                           Chart Title
         100
         90
         80
         70
         60
         50
         40
         30
         20
         10
          0
               1     2     3     4     5      6     7       8      9   10   11   12
Column G Column H