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unit_5_success_guide.pdf

 

 

UNIT 5 SUCCESS GUIDE

 

Dr. Altinoz 

GB 513 SUPPORT  MATERIALS 

UNIT 5 SUCCESS GUIDE RESOURCES

1. As always, start by reading the chapters and studying the solved examples. 2. Watch my lecture video on forecasting in document sharing. It is a comprehensive video

explaining just about everything in the assignment-moving averages, calculating the errors, forecasting using graphs.

3. Watch the sample problem solutions in document sharing. 4. If you want to see more videos on how to fit trendlines in scatter graphs (for problem #3)

watch this: http://www.youtube.com/watch?v=6rOlGbLeQxI. 5. If you want more on moving averages then:

http://www.youtube.com/watch?v=FQE6BdDRtnk 6. If you want more on calculating the errors: http://www.youtube.com/watch?v=iRoEOU-

YYaU

COMMON MISTAKES IN THE ASSIGNMENT Avoid these mistakes!

 Problem 3 should be done using a scatter graph and fitted trend-lines. Some students try to do multiple regression, which is a more complex and unnecessary way.

SAMPLE PROBLEMS AND SOLUTIONS The questions below are very similar to what you need to solve in the assignment. Some, but not all, of these solutions were demonstrated on video and recorded for the live binder by the math tutors.

S AM P L E PR O B L E M 1 F O R AS S I G N M E N T P R O B L E M 1 Using the following data, determine the values of MAD and MSE. Which of these measurements 

of error seems to yield the best information about the forecasts? Why? 

Period   Value   Forecast 

1  19.4  16.6 

2  23.6  19.1 

3  24.0  22.0 

4  26.8  24.8 

5  29.2  25.9 

6  35.5  28.6 

Solution 

      Period   Value    F        e         e          e2        

 

         1       19.4   16.6    2.8       2.8      7.84    

          2       23.6   19.1    4.5       4.5    20.25    

          3       24.0   22.0    2.0       2.0      4.00      

         4       26.8   24.8    2.0       2.0      4.00      

          5       29.2   25.9    3.3       3.3    10.89    

         6       35.5   28.6    6.9       6.9    47.61    

          Total        21.5     21.5    94.59                    

 

      MAD  =  21.5/6 = 3.583 

 

      MSE  =  94.59/6  =  15.765 

S AM P L E P R O B L E M 1 F O R AS S I G N M E N T P R O B L E M 2 Please note that my lecture video covers this problem step by step. 

Use the following time‐series data to answer the given questions. 

Time Period     Value  Time Period   Value 

1  27  6  66 

2  31  7  71 

3  58  8  86 

4  63  9  101 

5  59  10  97 

a. Develop forecasts for periods 5 through 10 using 4‐month moving averages. 

b. Develop forecasts for periods 5 through 10 using 4‐month weighted moving averages. Weight 

the most recent month by a factor of 4, the previous month by 2, and the other months by 1. 

S O L U T I O N

a.)           4‐mo. mov. avg.      error 

                          44.75           14.25 

                          52.75          13.25 

                          61.50              9.50 

                          64.75           21.25 

                          70.50           30.50 

                          81.00           16.00 

 

           b.)         4‐mo. wt. mov. avg.    error 

                          53.25              5.75 

                          56.375             9.625 

                          62.875            8.125 

                          67.25          18.75 

                          76.375          24.625 

                          89.125             7.875 

           c.)                  difference in errors 

                14.25 ‐ 5.75 = 8.5           

                                           3.626 

                                 1.375 

                                 2.5 

                                 5.875 

                                 8.125 

 

In each time period, the four‐month moving average produces greater errors of forecast 

than the four‐month weighted moving average. 

S AM P L E PR O B L E M 1 F O R AS S I G N M E N T P R O B L E M 3 The forecasting video demonstrates how to fit trendlines to scatter graphs.