MGT 314 Final Project on Lafarge Surma Cement

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    TABLE OF CONTENTS

    INTRODUCTION ............................................................................................................................................................. 2

    VISION ............................................................................................................................................................................ 3

    COMMITMENTS ............................................................................................................................................................. 3

    ORGANIZATIONAL HIERARCHY ...................................................................................................................................... 4

    COMPETITOR ANALYSIS ................................................................................................................................................. 5

    MARKETING STRATEGY .................................................................................................................................................. 5

    PRODUCT ................................................................................................................................................................... 5

    PRICE .......................................................................................................................................................................... 6

    PLACE ......................................................................................................................................................................... 6

    PROMOTION .............................................................................................................................................................. 6

    COLLECTION OF DATA ................................................................................................................................................... 7

    FORECASTING TECHNIQUES AND CALCULATIONS......................................................................................................... 9

    Moving Average (MA) ................................................................................................................................................ 9

    A. 3-period moving average ............................................................................................................................. 9

    B. Sixth-Period Moving Average .......................................................................................................................... 10

    C. Ninth-Period Moving Average ......................................................................................................................... 12

    Weighted Moving Average ...................................................................................................................................... 14

    Three-period Weighted Moving Average ............................................................................................................ 14

    B. Four-period Weighted Moving Average .......................................................................................................... 15

    Exponential Smoothing ................................................................................................................................................ 18

    Linear Regression Analysis ........................................................................................................................................... 20

    Mean Absolute Deviation (MAD) ................................................................................................................................. 24

    Mean Squared Error (MSE) .......................................................................................................................................... 25

    Mean Absolute Percentage Error (MAPE) ................................................................................................................... 27

    Conclusion ................................................................................................................................................................... 29

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    INTRODUCTION

    Lafarge Surma Cement Ltd. is a sister concern of Lafarge and Cementos Mollins. It was

    incorporated on 11 November 1997 as a private limited company in Bangladesh under the

    Companies Act 1994 having its registered office in Dhaka. On 20 January 2003 Lafarge Surma

    Cement Ltd. was made into a public limited company. The Company is listed in Dhaka and

    Chittagong Stock Exchange. Today, Lafarge Surma Cement Ltd. has more than 20,000

    shareholders.

    In November 2000, the two Governments of India and Bangladesh signed a historic agreement

    through exchange of letters in order to support this unique cross border commercial venture and

    till date it is the only cross border industrial venture between the two countries. Since

    Bangladesh does not have any commercial deposit of limestone, the agreement provides for

    uninterrupted supply of limestone to the cement plant at Chhatak in Bangladesh by a 17 km long

    belt conveyor from the quarry located in the state of Meghalaya. The company in Bangladesh,

    Lafarge Surma Cement Ltd. wholly owns a subsidiary company Lafarge Umiam Mining Private

    Ltd. (LUMPL) being registered in India, which operates its quarry at Nongtrai in Meghalaya.

    This commercial venture with an investment of USD 280 million, which is one of the largest

    foreign investments in Bangladesh, has been financed by Lafarge of France, world leader in

    building materials, Cementos Molins of Spain, leading Bangladeshi business houses together

    with International Finance Corporation (IFCThe World Bank Group), the Asian Development

    Bank (ADB), German Development Bank (DEG), European Investment Bank (EIB), and the

    Netherlands Development Finance Company (FMO).

    Lafarge Group, with 176 years of experience, holds worlds top-ranking position in Cement,Aggregates, Concrete and Gypsum. It operates in 64 countries with around 68,000 employees.

    Lafarge is named as one of the 100 Most Sustainable Companies in the World.

    Now, after three years of production operations, they are producing world class clinker and

    cement which is a demonstration of the sophisticated and state-of-the-art machineries and

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    processes of our plant at Chhatak. The Company is already meeting about 8% of the total market

    need for cement and 10% of total clinker requirements of Bangladesh market whereas we

    continue to enjoy strong growth rates. By supplying clinker to other cement producers in the

    market, we contribute some USD 50~60 million per annum worth of foreign currency savings

    for the country. We contribute around BDT 1 (one) billion per annum as government revenue to

    the national exchequer of Bangladesh. About 5,000 people depend on our business directly or

    indirectly for their livelihood.

    They believe that cement is an essential material that addresses vital needs of the construction

    sector. They are optimistic to meet the growing needs for housing and infrastructure in the

    construction sector of Bangladesh.

    VISION

    To be the undisputed leader in building materials in Bangladesh through

    Excellence in all areas of operations in world class standards

    Harnessing our strength as the only cement producer in Bangladesh

    Sustainable growth that respects the environment and the community

    COMMITMENTS

    Offering highest quality of product and services that exceeds our customers

    expectations.

    Giving our people an enabling environment that nurtures their talent and opportunities to

    give the best for the organization.

    Contributing to build a better world for our communities.

    Delivering the value creation that our shareholders expect.

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    ORGANIZATIONAL HIERARCHY

    Mr. Tarek Samir

    Ahmed Elba

    CEO

    Board of

    Directors

    Mr. Masud Khan

    Finance Director

    Ms. Sayeda Tahya

    Hossain

    Hr & CorporateAffairs Director

    Mr. Kazi Khalid

    Mahmood

    Commercial

    Director

    Mr. Asim

    Chottopadyay

    Senior Vice

    President Operation

    Mr. Mohammed

    Arif Bhuiyan

    Suppy Chain

    Director

    Mr. Narayan

    Prasad Sharma

    Vice President

    and Director,LUMPL

    Mr. Kazi Mizanur

    Rahman

    Comapany Secretary

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    COMPETITOR ANALYSIS

    There is only one type of competitor and that is Direct Competitors. There are no indirect

    competitors because there are no substitutes for cement. There are many competitors of Lafarge

    Surma Cement Ltd. and some them are the established local brands and also some multinational

    brands. The companies which are the competitors of Lafarge Surma Cement Ltd are mainly the

    multinational companies which are on the radical rating scale of Lafarge Surma Cement Ltd like

    Heidelberg Cement Bangladesh Ltd, Cemex, Holcim, etc. be it in terms of brand image, product

    quality and sales, each of the companies have their own unique features for which they are sited

    in the higher ranks. However, Lafarge Surma Cement Ltd sees each of these companies as their

    competitors and they are continuously fighting with these companies to reach their preferred

    position in the market. Moreover, the cement companies which are ranked below the company

    such as Shah Cement and Crown Cement are also viewed as competitors and they keep a look

    out for these companies activities. Hence, Lafarge Surma Cement Bangladesh Ltd faces intense

    competition in the market place.

    MARKETING STRATEGY

    PRODUCT

    The products of Lafarge Surma Cement Ltd are Gray Cement and Clinker Cement. They are the

    most preferred brands for long lasting constructions. They have the following features:

    Consistent proven quality.

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    Long age strength ensuring continuous strength gain.

    Higher durability- sustainable from generation to generation.

    Higher workability.

    Low heat of hydration.

    Better resistance to sulphate and other chemical attack.

    PRICE

    The price of the products of Lafarge Surma Cement Ltd is a little higher than the other cements

    in the market. This is due to their high quality of cement. However, commissions are given to

    their customers especially the retailers based on the volume taken.

    PLACE

    Lafarge Surma Cement Ltd has only one factory of their own which is located at Chattak under

    Sunamgonj district. Lafarge Surma Cement Ltd. will extract and procss the basic raw materials

    like limestone and shale from its from its own quarry in Meghalaya, India. A 17 km crossborder

    belt conveyor will be installed to link the quarry with the cement plant for transportation of raw

    materials.

    PROMOTION

    Lafarge Surma Cement Ltd uses a combination of promotional activities to advertise their

    products. The most widely used instrument is Newspapers. They keep on updating about their

    products to the local customers through both English and Bangla newspapers like Daily Star,

    Financial Express, Amader Shomoy, Prothom Alo, Bangladesh Protidin etc. Moreover, they also

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    go for Billboard advertisement to attract the customers. They also use brochures and posters to

    inform their customers.

    COLLECTION OF DATA

    We have collected 20 months sales data from Lafarge Surma Cement Ltd. We have collected the

    data to make the forecast and the compare between the forecast and the actual data by using

    different forecasting and comparing techniques. Our purpose was to use these data for

    forecasting and to compare between the forecast and the actual data of the sales of from Lafarge

    Surma Cement Ltd. by using following forecasting and comparing techniques:

    1.

    We used the data to find out the 3-period moving average to forecast the production forthe 4

    thperiod21

    stperiods.

    2. We used the data to find out the 6-period moving average to forecast the production for

    the 4th

    period21stperiods.

    3. We used the data to find out the 9-period moving average to forecast the production for

    the 4th

    period21stperiods.

    4.

    We used the data to find out the 3 and 4- period weighted average to forecast the

    production for the 4th

    period21stperiods.

    5. We used the data to find out Exponential Smoothing with =.05, =.1 and = 0.4 to

    forecast the sales for the 4th

    period21stperiods.

    6. We used the data to plot the data to see whether the data follow a trend. Determine the

    linear trend line for production. Use the trend equation to predict the production for the

    5th

    period30th

    periods. Use Excel to do this experiment.

    7. We used the data to compare the performance of the five methods by using the mean

    absolute deviation (MAD) as the performance criterion.

    8.

    We used the data compare the performance of the five methods by using the Mean

    Squared Error (MSE) as the performance criterion.

    9. We used the data to compare the performance of the five methods by using the mean

    absolute percentage error (MAPE) as the performance criterion.

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    Here is the raw data for the analysis that is collected from the Lafarge Surma Cement Ltd. at

    Gulshan on Cement sells figure in BDT for 20 months.

    **Sales in BDT (Crore).

    Sales

    (Taka Crore)

    2010 JAN 72.6

    FEB 72.1

    MAR 73

    APR 64

    MAY 65.4

    JUN 27

    JUL 29

    AUG 26

    SEP 26

    OCT 37

    NOV 39

    DEC 34.4

    2011 JAN 39

    FEB 41

    MAR 36.1

    APR 79

    MAY 80

    JUN 76.5

    JUL 42

    AUG 45

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    FORECASTING TECHNIQUES AND CALCULATIONS

    MOVING AVERAGE (MA)

    A. 3-PERIOD MOVING AVERAGE

    Technique that averages a number of recent actual data values, updated as new values become

    available is known as moving average forecast. The moving average forecast can be computedusing the following formula.

    Formula

    n

    A

    MAF

    n

    i

    it

    nt

    1

    Where,

    tF

    = Forecast for time period t

    i = an index that corresponds to time period

    n = No. of period in the moving average

    iA = Actual value in period t-i

    MA= Moving average

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    Working Procedure of 3-Period Moving Average:

    STEP 1: Get actual data for Period 1 to 3 from the month of January.

    Period 1 to Period 3 shows the actual data.

    STEP 2: Calculate the sum of last three months data (actual or forecast whatever we have).

    We could find out the sum of last three months by using the formula-

    =SUM (Period1:Period3) or

    = (Period 1+Period 2+Period3)

    STEP 3: Calculate the average by dividing the sum of last three months actual data by the no.

    of correspondent time period.

    To find out the average of last three periods by using the Formula-

    SUM (Period1:Period3)/3"or, =(Period 1+ Period 2+ Period 3)/3

    STEP 4: To find out the next months forecasted data we have to simply calculate last three

    months data (actual or forecasted whatever we have) and divide that by the no of correspondent

    time period.

    B. SIXTH-PERIOD MOVING AVERAGE

    Technique that averages a number of recent actual data values, updated as new values become

    available is known as moving average forecast. The moving average forecast can be computed

    using the following formula.

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    Formula

    n

    A

    MAF

    n

    i

    it

    nt

    1

    Where,

    tF

    = Forecast for time period t

    i = an index that corresponds to time period

    n = No. of period in the moving average

    iA = Actual value in period t-i

    MA= Moving average

    Working Procedure of Six-Period Moving Average:

    STEP 1: Get actual data for Period 1 to 6.

    Period 1 to Period 6 shows the actual data.

    STEP 2: Calculate the sum of last six months data (actual or forecast whatever we have).

    We could find out the sum of last six months by using the formula

    =SUM (Period1:Period6).

    STEP 3: Calculate the average by dividing the sum of last six months actual data by the no of

    correspondent time period.

    To find out the average of last six periods by using the formula-

    =SUM (Period1:Period6)/6"

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    STEP 4: To find out the next months forecasted data we have to simply calculate last six

    months data (actual or forecasted whatever we have) and divide that by the no of

    correspondent time period.

    C. NINTH-PERIOD MOVING AVERAGE

    Technique that averages a number of recent actual data values, updated as new values become

    available is known as moving average forecast. The moving average forecast can be computed

    using the following formula.

    Formula

    n

    A

    MAF

    n

    i

    it

    nt

    1

    Where,

    tF= Forecast for time period t

    i = an index that corresponds to time period

    n = No. of period in the moving average

    iA = Actual value in period t-i

    MA= Moving average

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    Working Procedure of Ninth-Period Moving Average:

    STEP 1: Get actual data for Period 1 to 9.

    Period 1 to Period 9 shows the actual data.

    STEP 2: Calculate the sum of last nine months data (actual or forecast whatever we have).

    We could find out the sum of last nine months by using the formula

    =SUM (Period1:Period9).

    STEP 3: Calculate the average by dividing the sum of last nine months actual data by the no

    of correspondent time period.

    To find out the average of last nine periods by using the formula-

    =SUM (Period1:Period9)/9"

    STEP 4: To find out the next months forecasted data we have to simply calculate last nine

    months data (actual or forecasted whatever we have) and divide that by the no of

    correspondent time period.

    Sales(Taka Crore) 3-Month

    MA

    6-Month

    MA

    9-Month

    MA

    2010 JAN 72.6FEB 72.1

    MAR 73

    APR 64 72.6

    MAY 65.4 69.7

    JUN 27 67.5

    JUL 29 52.1 62.4

    AUG 26 40.5 55.1

    SEP 26 27.3 47.4

    OCT 37 27 39.6 50.6

    NOV 39 29.7 35.1 46.6

    DEC 34.4 34 30.7 42.92011 JAN 39 36.8 31.9 38.6

    FEB 41 37.5 33.6 35.9

    MAR 36.1 38.1 36.1 33.2

    APR 79 38.7 37.8 34.2

    MAY 80 52 44.8 39.7

    JUN 76.5 65 51.6 45.7

    JUL 42 78.5 58.6 51.3

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    WEIGHTED MOVING AVERAGE

    THREE-PERIOD WEIGHTED MOVING AVERAGE

    Weighted moving average is similar to the moving average, except that it assigns more weight tothe most recent values in a time series. For example, the most recent value might be assigned a

    value of 0.4, the next most recent value weight of 0.3, the next after that a weight of 0.2, the next

    after that a weight of 0.1 where the total sum of the weights is 1. The weighted moving average

    can be computed by the following formula.

    Formula

    1122)2(2)1(1 ...... ttntnntnntnt AwAwAwAwAwF

    Where,

    tF= Forecast for time period t

    n = No. of period in the moving average

    nw

    = Weight of the Actual Value

    tA = Actual value in period t

    AUG 45 66.2 59.1 51.9

    SEP 54.5 59.8 52.6

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    Working Procedure of Weighted Moving Average:

    STEP 1: Get actual data for Period 1 to 3.

    Period 1 to Period 3 shows the actual data.

    STEP 2: Select the weight, what we are going to assign for the weighted moving average.

    We have selected weight as 0.5, 0.3, 0.2, where-

    0.5 represents the most recent periods weight.

    0.3 represents the next recent periods weight.

    0.2 represents the next recent periods weight.

    STEP 3: Multiply the data with their correspondent weight.

    (Most recent periods * 0.5)

    (Next recent periods * 0.3)

    (Next recent periods * 0.2)

    STEP 4: Calculate the sum of multiplied the data.

    (Most recent periods * 0.5) + (next recent periods * 0.3) + (next recent periods * 0.2)

    STEP 5: Step 4s calculated data will be the forecasted value for the next period. To find out

    the next forecasted data we have to simply calculate last three periods data (actual or

    forecasted whatever we have) and assign correspondent weights.

    B. FOUR-PERIOD WEIGHTED MOVING AVERAGE

    Weighted moving average is similar to the moving average, except that it assigns more weight

    to the most recent values in a time series. The most recent value might be assigned a value of

    0.4, the next most recent value weight of 0.3, the next after that a weight of 0.2, the next after

    that a weight of 0.1 where the total sum of the weights is 1. The weighted moving average can

    be computed by the following formula.

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    Formula

    1122)2(2)1(1 ...... ttntnntnntnt AwAwAwAwAwF

    Where,

    tF= Forecast for time period t

    n = No. of period in the moving average

    nw = Weight of the Actual Value

    tA = Actual value in period t

    Working Procedure of Weighted Moving Average:

    STEP 1 : Get actual data for Period 1 to 4.

    Period 1 to Period 4 shows the actual data.

    STEP 2: Select the weight, what we are going to assign for the weighted moving average.

    We have selected weight as 0.4, 0.3, 0.2, 0.1, where-

    0.4 represents the most recent periods weight.

    0.3 represents the next recent periods weight.

    0.2 represents the next recent periods weight.

    0.1 represents the next recent periods weight.

    STEP 3: Multiply the data with their correspondent weight.

    (Most recent periods * 0.4)

    (Next recent periods * 0.3)

    (Next recent periods * 0.2)

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    (Next recent periods * 0.1)

    STEP 4: Calculate the sum of multiplied the data.

    (Most recent periods * 0.4) + (next recent periods * 0.3) + (next recent periods * 0.2) +(next recent periods * 0.1)

    STEP 5: Step 4s calculated data will be the forecasted value for the next period. To find out

    the next forecasted data we have to simply calculate last four periods data (actual or

    forecasted whatever we have) and assign correspondent weights.

    Sales(Taka Crore) 3-Month WMA 4-Month WMA

    2010 JAN 72.6

    FEB 72.1

    MAR 73

    APR 64 72.7

    MAY 65.4 68.3 69.2

    JUN 27 66.5 67.2

    JUL 29 45.9 50.5

    AUG 26 35.7 39.2

    SEP 26 27.1 31

    OCT 37 26.6 26.7

    NOV 39 31.5 30.7

    DEC 34.4 35.8 34.5

    2011 JAN 39 36.3 35.5

    FEB 41 37.6 37.4

    MAR 36.1 39.1 38.9

    APR 79 38.2 38

    MAY 80 58.5 54.5

    JUN 76.5 70.9 67

    JUL 42 78.1 74AUG 45 60 63.7

    SEP 50.4 53.9

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    EXPONENTIAL SMOOTHING

    Weighted averaging method based on previous forecast plus a percentage of the forecast error. It

    is sophisticated weighted average method that is still relatively easy to use and understand.

    Formula

    Next forecast = Previous forecast + (actualprevious forecast)

    111

    tttt FAFF

    Where,

    1tF = Forecast for the previous time period

    = The smoothing constant = % of the error

    1tA

    = Actual value in the previous period

    tF

    = Forecast for time period t

    The value of commonly usedranges from 0.05 to 0.5. Low values are used when the average

    tends to be stable. Higher values of are used when the average is not stable.

    Working Procedure of Exponential Smoothing:

    For = 0.05, 0.1 and 0.4

    STEP 1: Get actual data.

    Period 1 to Period 20 shows the actual data.

    STEP 2: Find out the difference between actual and forecasted data. For the 2nd

    period, as we

    dont have the forecasted value so we are going to take the period 1st actual value as

    period 2nd

    forecasted value.

    STEP 3: Multiply the difference between actual and forecasted period with the error

    constants.

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    STEP 4: Add forecasted data and error constant considered difference of actual and

    forecasted data.

    STEP 5: Step4s calculated data will be the forecasted value for the next period. To find out

    the next years forecasted data we have to simply use this formula for all the next period

    [Forecasted+ (smoothing constant*(actual-forecasted)]

    Sales(Taka Crore) =.05 =.1 =.4

    2010 JAN 72.6

    FEB 72.1 72.6 72.6 72.6

    MAR 73 72.6 72.6 72.4

    APR 64 72.62 72.6 72.6

    MAY 65.4 72.2 71.7 69.2

    JUN 27 71.9 71.1 67.7

    JUL 29 69.8 66.7 51.4

    AUG 26 67.8 62.9 42.4

    SEP 26 65.7 59.2 35.8

    OCT 37 63.7 55.9 31.9

    NOV 39 62.4 54 33.9DEC 34.4 61.2 52.5 35.9

    2011 JAN 39 59.9 50.7 35.3

    FEB 41 58.9 49.5 36.8

    MAR 36.1 58 48.7 38.5

    APR 79 56.9 47.4 37.5

    MAY 80 58 50.6 54.1

    JUN 76.5 59.1 53.5 64.5

    JUL 42 60 55.8 69.3

    AUG 45 59.1 54.4 58.4

    SEP 58.4 53.5 53

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    a t

    LINEAR REGRESSION ANALYSIS

    Analysis of linear regression involves developing an equation that will suitably describe the

    trend. It may be linear or may not be. Linear trends are fairly common.

    Formula:

    A linear trend equation has the formtbaFt

    Where,

    tF

    = Forecast for time period t

    t= Specified no. of time periods from t= 0

    a = Value of tF

    at t= 0

    b = Slope of the line

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    The coefficients of the line a and b can be computed from the historical data using the

    formulas:

    22

    ttn

    yttynb

    &

    tby

    n

    tbya

    Where,

    t is the period, n is the number of periods and y is the actual demand.

    Working Procedure of Trend Equation:

    STEP 1: Get all the actual data and plot the data in the graph and find out n.

    Period 1 to Period 20 shows the actual data where n is 17.

    STEP 2: Define, t and y and calculate the sum of t and the sum of y.

    Here, period is expressed as t and volume nosas y. and

    STEP 3: Multiply t and y and calculate the sum of ty.

    STEP 4: Find out t2and calculate the sum of t

    2.

    STEP 5: Calculate the square of sum of t

    STEP 6: Calculate b by using formula, 22

    ttn

    yttynb

    STEP 7: Calculate a by using formula, tbyn

    tbya

    STEP 8: Find out the trend line by using this formula tbaF and plot that in the graph.

    STEP 9: Calculate each years forecasted data by using the same

    Formula

    tbaF Where t is the time for each and every period.

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    Here, b= 1.19, and a= 35.5

    The regression equation is

    C2 = 35.5 + 1.19 C1

    Predictor Coef SE Coef T P

    Constant 35.527 9.444 3.76 0.002

    C1 1.1924 0.9216 1.29 0.215

    S = 18.6153 R-Sq = 10.0% R-Sq(adj) = 4.0%

    Month t y(At) t Ty

    Apr 1 64 1 64

    May 2 65.4 4 130.8

    Jun 3 27 9 81

    Jul 4 29 16 116

    Aug 5 26 25 130

    Sep 6 26 36 156

    Oct 7 37 49 259

    Nov 8 39 64 312

    Dec 9 34.4 81 309.6

    Jan 10 39 100 390

    Feb 11 41 121 451

    Mar 12 36.1 144 433.2

    Apr 13 79 169 1027

    May 14 80 196 1120

    Jun 15 76.5 225 1147.5

    Jul 16 42 256 672

    Aug 17 45 289 765

    153 786.4 1785 7564.1

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    From the above equation we can see the R (coefficient of determination) is only 10%. This

    means that only 10% variation in sales is explained by the changes in the number of periods.

    181614121086420

    80

    70

    60

    50

    40

    30

    20

    C1

    C2

    Scatterplot of C2 vs C1

    Trend Analysis

    161412108642

    80

    70

    60

    50

    40

    30

    20

    Index

    C2

    MAPE 34.910

    MAD 15.718

    MSD 305.761

    Accuracy Measures

    Actual

    Fits

    Variable

    Trend Analysis Plot for C2Linear Trend Model

    Yt = 35.53 + 1.19*t

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    MEAN ABSOLUTE DEVIATION (MAD)

    It is a significant factor when deciding among forecasting alternatives. Accuracy is based on the

    historical error performance of a forecast. It is very important to find the historical errorperformance of different techniques. So, we can easily find which the best method is. There are

    different methods of measuring historical errors. Mean absolute deviation (MAD) is the first one.

    Formula

    Mean absolute deviation (MAD): Average absolute error.

    MAD = n

    FA tt

    Where,

    tF= Forecast for time period t

    n = No. of period

    tA

    = Actual value in period t

    Here, we have to take absolute value of the error.

    Working Procedure of Mean Absolute Deviation (MAD):

    STEP 1: Get actual data and all the forecasted data for every techniques

    Here we have four techniques of- 30 days moving average, linear forecasting method, weighted

    moving average and Exponential smoothing.

    STEP 2: Calculate the difference between actual data and forecasted data for every

    techniques by using formula, ( tt FA

    ).

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    STEP 3: Take the absolute value of the differences of actual and forecasted data for every

    techniques by using formula, tt FA

    .

    STEP 4: Calculate the sum of absolute value of the differences of actual and forecasted data

    for every techniques. tt FA

    STEP 5: Divide the sum of absolute value of the differences of actual and forecasted data by

    the no of the period, n for every six technique Using formula, n

    FA tt

    .

    STEP 6: Follow STEP 1 to STEP 5 for every techniques and find out the MAD.

    Results

    MAD of 3-period moving average 15.13

    MAD of 6-period moving average 17.19

    MAD of 9-period moving average 15.47

    MAD of 3-period weighted period moving average 13.31

    MAD of 4-period weighted period moving average 14.94

    MAD of Exponential Smoothing = .05, 21.82

    = .1, 18.93

    = .4, 12.89

    MAD of Linear Regression Analysis 15.72

    Recommendation

    We recommend MAD of exponential smoothing where = 0.4because the value of it is lowest,

    12.89 compare to others.

    MEAN SQUARED ERROR (MSE)

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    Mean Squared Error is the second methods of measuring error or accuracy of the forecasted data.

    Formula

    Mean squared error (MSE): Average of squared errors.

    MSE =

    1

    2

    n

    FA tt

    Where,

    tF= Forecast for time period t

    n = No. of period

    tA

    = Actual value in period t

    Working Procedure of Mean Squared Error (MSE):

    STEP 1: Get actual data and all the forecasted data for every techniques

    Here we have five techniques of- 30 days moving average, linear forecasting method, weightedmoving average and Exponential smoothing.

    STEP 2: Calculate the difference between actual data and forecasted data for every

    techniques by using formula, ( tt FA

    ).

    STEP 3: Do squares of the differences of actual and forecasted value for every techniques by

    using formula,

    2)(

    tt FA

    .

    STEP 4: Calculate the sum of the squares of the differences of actual and forecasted data for

    every techniques,

    2

    tt FA .

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    STEP 5: Divide the sum of squares of the differences of actual and forecasted data by the n-

    1, no of the period for every technique using formula,

    1

    2

    n

    FA tt

    .

    STEP 6: Follow STEP 1 to STEP 5 for every techniques and find out the MSE.

    Result

    MSE of 3-period moving average

    438

    MSE of 6-period moving average

    507

    MSE of 9-period moving average

    506

    MSE of 3-period weighted period moving average

    369

    MSE of 4-period weighted period moving average

    420

    MSE of Exponential Smoothing

    = .05, 674.4

    = .1, 549.6 = .4, 342.5

    MSE of Linear Regression Analysis

    305.76

    Recommendation

    We recommend MAD of exponential smoothing where = 0.4because the value of it is lowest,

    342.5 compare to others.

    MEAN ABSOLUTE PERCENTAGE ERROR (MAPE)

    Mean Absolute Percentage Error is the third most common methods of measuring error or the

    accuracy of the forecasted data.

    Formula

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    Mean absolute percent error (MAPE): Average absolute percent error.

    MAPE = nA

    FA

    t

    tt100

    Where,

    tF= Forecast for time period t

    n = No. of period

    tA

    = Actual value in period t

    Working Procedure of Mean Absolute Percentage Error (MAPE):

    STEP 1: Get actual data and all the forecasted data for every techniques

    STEP 2: Calculate the difference between actual data and forecasted data for every

    techniques by using formula, ( tt FA

    ).

    STEP 3: Take the absolute value of the differences of actual and forecasted data for every

    techniques by using formula, tt FA

    STEP 4: Divide the absolute value of the differences of actual and forecasted data by the

    actual value for every techniques. t

    tt

    A

    FA

    STEP 5: Multiply, the division of the absolute value of the differences of actual and

    forecasted data by the actual value for every techniques.

    100

    t

    tt

    A

    FA

    STEP 6: Divide the division of the sum of absolute value of the differences of actual and

    forecasted data by the no of the period, n for every five technique using formula,

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    n

    A

    FA

    t

    tt100

    .

    STEP 7: Follow STEP 1 to STEP 6 for every techniques and find out the MAPE.

    Results

    MAPE of 3-period moving average

    36.3

    MAPE of 6-period moving average

    40.9

    MAPE of 9-period moving average

    26.1

    MAPE of 3-period weighted period movingaverage

    32.0

    MAPE of 4-period weighted period movingaverage

    36.7

    MAPE of Exponential Smoothing

    = .05, 61.4

    = .1, 51.3 = .4, 31.7

    MAPE of Linear Regression Analysis

    34.91

    Recommendation

    We recommend MAPE of 9-period moving average because the value is lowest, 26.1 compare to

    others.

    CONCLUSION

    Forecasting is a useful method for predicting future demand in all sectors. It helps managers plan

    the system and help them plan the use of the system. Forecasts play an important role in the

    planning process because they enable a manager to anticipate the future so he/she can plan

    accordingly. A wide variety of forecasting techniques are in use. In many respects, they are quite

    different from each other. In our analysis we have used some techniques of forecasting and they

    are moving average, weighted average, exponential smoothing and linear trend method. Each

    one of them has a unique advantage, easy to understand, provide good forecast and are reliable.

    We have also used MAD, MSE and MAPE to analyze the accuracy of the forecasts. At the end

    we would like conclude that we have tried our best to give the best results of forecasting and

    hope that it will help the organization in the future.