practice problem 2_ forecasting ordroid devices

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  • 8/16/2019 Practice Problem 2_ Forecasting Ordroid Devices

    1/7

    3/15/2016 Practice Problem 2: Forecasting Ordroid Devices | Week 2 Practice Problems | CTL.SC1x Courseware | edX

    https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/

    Bookmarks

    Week 2: Forecasting I - Introduction > Week 2 Practice Problems > Practice Problem 2:

    Forecasting Ordroid Demand

      Bookmark

    PRACTICE PROBLEM 2: FORECASTING ORDROID DEVICES

    You have just been hired by a company that manufactures mid-range

    communication devices that use the Ordroid open source operating

    system. The company is focused on innovating its products and has not

    put much thought on its inventory or forecasting capabilities. Your boss

    thinks there might be a problem in the forecasting of the Ordroid Devices

    and wants you to figure it out. The Ordroid, far from being new to the

    market, has been out for two years.

    Knowing this, you have asked for data on both years of historical sales as

    well as any forecasts, promotions, pricing changes, or competitive

    analyses made during this time. Your boss laughs and provides you with

    all the data they have: the last six months of sales. You ask to meet with

    the current demand planner for the Ordroid Devices and she tells you that

    they use a forecasting algorithm of her own design and there is no

    documentation.

    Download the spreadsheets with the data here:

    In Excel format (link to Ordroid_Data.xlsx)

    In LibreOffice format (link Ordroid_Data.ods)

    Part 1A

    As a first step, you want to calculate some different performance metrics

    for the small data sample. Recall that the definition of the error term is the

    Actual demand minus the Forecasted demand.

    What is the mean deviation of the forecasts in this data sample?

    Course

    Overview &Logistics

    Entrance

    Survey

    Week 1:

    Overview of 

    Supply Chain

    Management &

    Logistics

    Week 2:

    Forecasting I -

    Introduction

    Welcome to Week

    2

    Lesson 1: Demand

    Forecasting

    Lesson 2: Time

    Series Analysis

    Week 2 Practice

    Problems

    Supplemental

    Materials for

    MicroMasters

    Week 2 Graded

    Assignment

    Homework due Mar

    02, 2016 at 15:00 UTC

    Week 3:

    Forecasting II -

    MITx: CTL.SC1x Supply Chain Fundamentals

    https://d37djvu3ytnwxt.cloudfront.net/asset-v1:MITx+CTL.SC1x_2+1T2016+type@asset+block/Ordroid_Data.odshttps://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/41862172d4ca493996126432b89395ff/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b12ad659313d4f769a575fdc15a43442/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b12ad659313d4f769a575fdc15a43442/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/fc4eda5f7a9b48a4b77428ea851f328f/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/70b1e7abe6cb427fbbea8d16db89ca85/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/d4764459b39c40a6b13557e119d73cc2/https://www.edx.org/https://www.edx.org/https://www.edx.org/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/41862172d4ca493996126432b89395ff/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b12ad659313d4f769a575fdc15a43442/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/fc4eda5f7a9b48a4b77428ea851f328f/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/70b1e7abe6cb427fbbea8d16db89ca85/https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/d4764459b39c40a6b13557e119d73cc2/https://d37djvu3ytnwxt.cloudfront.net/asset-v1:MITx+CTL.SC1x_2+1T2016+type@asset+block/Ordroid_Data.odshttps://d37djvu3ytnwxt.cloudfront.net/asset-v1:MITx+CTL.SC1x_2+1T2016+type@asset+block/Ordroid_Data.xlsx

  • 8/16/2019 Practice Problem 2_ Forecasting Ordroid Devices

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    3/15/2016 Practice Problem 2: Forecasting Ordroid Devices | Week 2 Practice Problems | CTL.SC1x Courseware | edX

    https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/

        Answer: 112.5

     

    You have used 3 of 3 submissions

    Part 1B

    What is the mean absolute deviation (MAD) of the forecasts in this data

    sample?

        Answer: 509.5

     

    You have used 3 of 3 submissions

    Part 1C

    What is the root mean square error (RMSE) of the forecasts in this data

    sample?

        Answer: 540.6

     

    Exponential

    Smoothing

    Week 4:

    Forecasting III -

    Special Cases &

    Extensions

    Week 5:

    Inventory

    Management I

    - Deterministic

    Demand

    EXPLANATION

    To find this, you just needed to find the error terms for each

    observation. The average of the deviations (or error terms) is the

    Mean Deviation.

    EXPLANATION

    To find this, you just needed to average the absolute values of the

    error terms for each observation.

  • 8/16/2019 Practice Problem 2_ Forecasting Ordroid Devices

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    3/15/2016 Practice Problem 2: Forecasting Ordroid Devices | Week 2 Practice Problems | CTL.SC1x Courseware | edX

    https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/

    You have used 3 of 3 submissions

    Part 1D

    What is the mean percent error (MPE) of the forecasts in this data sample?

     Just enter the number and not the percentage sign, e.g., for 19.7% enter

    19.7.

        Answer: 4.1

     

    You have used 3 of 3 submissions

    Part 1E

    What is the mean absolute percent error (MAPE) of the forecasts in this

    data sample? Just enter the number and not the percentage sign, e.g., for

    19.7% enter 19.7.

        Answer: 26.9

     

    EXPLANATION

    To find this, you just needed to find average of the squared error

    terms for each observation. The RMSE is simply the square root of the

    average of the squared deviations (or error terms). We will use this

    value extensively when we discuss inventory models.

    EXPLANATION

    To find this, you just needed to divide the error terms for each

    observation by the actual demand for that period. The average of 

    these values is the MPE or mean percent error.

  • 8/16/2019 Practice Problem 2_ Forecasting Ordroid Devices

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    3/15/2016 Practice Problem 2: Forecasting Ordroid Devices | Week 2 Practice Problems | CTL.SC1x Courseware | edX

    https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/

     There appears to be seasonality with lower demand in the

    summer

     There appears to be no seasonality

     There is not enough data to evaluate for seasonality

    You have used 3 of 3 submissions

    Part 2A

    Based on your analysis, answer the following questions.

    What can you say about the presence seasonality of demand?

    You have used 3 of 3 submissions

    EXPLANATION

    To find this, you just needed to divide the absolute value of the error

    terms for each observation by the actual demand for that period. The

    average of these values is the MAPE or mean absolute percent error.

    You can download the solution to this problem here:

    • In Excel format (link Ordroid_Solution.xlsx here)

    • In LibreOffice format (link Ordroid_Solution.ods here)

    EXPLANATION

    There is not even one full year of data, so it would be very premature

    to evaluate for seasonality! You need at least two full cycles to

    determine seasonality.

    https://d37djvu3ytnwxt.cloudfront.net/asset-v1:MITx+CTL.SC1x_2+1T2016+type@asset+block/Ordroid_Solution.odshttps://d37djvu3ytnwxt.cloudfront.net/asset-v1:MITx+CTL.SC1x_2+1T2016+type@asset+block/Ordroid_Solution.xlsx

  • 8/16/2019 Practice Problem 2_ Forecasting Ordroid Devices

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    3/15/2016 Practice Problem 2: Forecasting Ordroid Devices | Week 2 Practice Problems | CTL.SC1x Courseware | edX

    https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/

     There appears to be a positive trend in demand

     There appears to be a negative trend in demand

     There does not appear to be any trend in demand

     There is not enough data to evaluate for a trend

     The forecast appears to be positively biased

     The forecast appears to be negatively biased

     The forecast appears to not be biased

     There is not enough data to evaluate for bias

    Part 2B

    What can you say about the presence of a trend in the demand?

    You have used 3 of 3 submissions

    Part 2C

    What can you say about the bias of the forecast?

    EXPLANATION

    As opposed to seasonality, we do have enough data to suspect a

    positive trend. In fact, if we compare with for the data, we see

    that on average, the demand increases by about 176 units per month!

    This averages to about 10% increase per month. So, yes, I would

    suspect a positive trend here.

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    3/15/2016 Practice Problem 2: Forecasting Ordroid Devices | Week 2 Practice Problems | CTL.SC1x Courseware | edX

    https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/

    © All Rights Reserved

     This appears to be a highly accurate forecast

     This does not appear to be a highly accurate forecast

     There is not enough data to evaluate for accuracy

    You have used 3 of 3 submissions

    Part 2D

    What can you say about the accuracy of the forecast?

    You have used 3 of 3 submissions

    EXPLANATION

    A bias is a persistent tendency to over or under predict. These

    forecasts are not persistent in either. In fact, of the six periods, half 

    are over forecast and half are under forecast. So, there does notappear to be any bias in the forecast.

    EXPLANATION

    This is not a very good forecast. The MAPE is almost 27% - pretty high.

    But even worse, you can see that there is a pretty strong trend going

    on and the forecasts totally ignore this.

    However, since this is a relatively subjective question, we are giving

    full points to all answers.

  • 8/16/2019 Practice Problem 2_ Forecasting Ordroid Devices

    7/7

    3/15/2016 Practice Problem 2: Forecasting Ordroid Devices | Week 2 Practice Problems | CTL.SC1x Courseware | edX

    https://courses.edx.org/courses/course-v1:MITx+CTL.SC1x_2+1T2016/courseware/aeafb16ac1e64da2a16d98d6cdfa423b/b4a85bbcabc94dc6bf30fe713fb727a1/

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