Question: Consider the following data on full-service restaurant sales. Calculate both the three-month and five-month moving averages for these data, and compare the forecasts by calculating
- Consider the following data on full-service restaurant sales. Calculate both the three-month and five-month moving averages for these data, and compare the forecasts by calculating the mean absolute percentage errors and MAPEs. The data are in millions of dollars.
Date | Sales (000,000) | Date | Sales (000,000) | Date | Sales (000,000) | Date | Sales (000,000) |
Jan-02 | 6910 | Aug-05 | 9035 | Feb-09 | 9515 | Sep-12 | 11743 |
Feb-02 | 6959 | Sep-05 | 8271 | Mar-09 | 10385 | Oct-12 | 12129 |
Mar-02 | 7268 | Oct-05 | 8328 | Apr-09 | 10571 | Nov-12 | 12003 |
Apr-02 | 7023 | Nov-05 | 7987 | May-09 | 10792 | Dec-12 | 12794 |
May-02 | 7555 | Dec-05 | 8383 | Jun-09 | 10553 | Jan-13 | 11811 |
Jun-02 | 7021 | Jan-06 | 7532 | Jul-09 | 11083 | Feb-13 | 11523 |
Jul-02 | 7297 | Feb-06 | 7943 | Aug-09 | 10939 | Mar-13 | 12957 |
Aug-02 | 7558 | Mar-06 | 8685 | Sep-09 | 10297 | Apr-13 | 12423 |
Sep-02 | 6945 | Apr-06 | 8502 | Oct-09 | 11056 | May-13 | 13741 |
Oct-02 | 7464 | May-06 | 8977 | Nov-09 | 10229 | Jun-13 | 13250 |
Nov-02 | 7138 | Jun-06 | 8716 | Dec-09 | 10703 | Jul-13 | 13673 |
Dec-02 | 7355 | Jul-06 | 8978 | Jan-10 | 10092 | Aug-13 | 14329 |
Jan-03 | 6854 | Aug-06 | 9548 | Feb-10 | 10532 | Sep-13 | 12465 |
Feb-03 | 6699 | Sep-06 | 8675 | Mar-10 | 11464 | Oct-13 | 13026 |
Mar-03 | 7324 | Oct-06 | 9032 | Apr-10 | 11240 | Nov-13 | 12606 |
Apr-03 | 7514 | Nov-06 | 9005 | May-10 | 11393 | Dec-13 | 13281 |
May-03 | 7898 | Dec-06 | 8921 | Jun-10 | 11332 | Jan-14 | 12953 |
Jun-03 | 7814 | Jan-07 | 8688 | Jul-10 | 11752 | Feb-14 | 12926 |
Jul-03 | 8049 | Feb-07 | 8640 | Aug-10 | 11581 | Mar-14 | 13709 |
Aug-03 | 8322 | Mar-07 | 9592 | Sep-10 | 11257 | Apr-14 | 13324 |
Sep-03 | 7730 | Apr-07 | 9332 | Oct-10 | 11447 | May-14 | 14042 |
Oct-03 | 8049 | May-07 | 9976 | Nov-10 | 10742 | Jun-14 | 13669 |
Nov-03 | 7449 | Jun-07 | 9460 | Dec-10 | 11372 | Jul-14 | 14572 |
Dec-03 | 7774 | Jul-07 | 10071 | Jan-11 | 10726 | Aug-14 | 14149 |
Jan-04 | 6998 | Aug-07 | 10517 | Feb-11 | 10691 | Sep-14 | 13268 |
Feb-04 | 7275 | Sep-07 | 9539 | Mar-11 | 11919 | Oct-14 | 13918 |
Mar-04 | 8177 | Oct-07 | 9850 | Apr-11 | 11312 | Nov-14 | 12992 |
Apr-04 | 8143 | Nov-07 | 9227 | May-11 | 12002 | Dec-14 | 14312 |
May-04 | 8364 | Dec-07 | 9699 | Jun-11 | 12191 | Jan-15 | 13202 |
Jun-04 | 8292 | Jan-08 | 9147 | Jul-11 | 12374 | Feb-15 | 13260 |
Jul-04 | 8689 | Feb-08 | 9114 | Aug-11 | 12797 | Mar-15 | 14359 |
Aug-04 | 8661 | Mar-08 | 9972 | Sep-11 | 11292 | Apr-15 | 14368 |
Sep-04 | 8080 | Apr-08 | 9825 | Oct-11 | 11523 | May-15 | 14687 |
Oct-04 | 8264 | May-08 | 10423 | Nov-11 | 11259 | Jun-15 | 14445 |
Nov-04 | 7822 | Jun-08 | 10203 | Dec-11 | 12596 | Jul-15 | 15142 |
Dec-04 | 8352 | Jul-08 | 10458 | Jan-12 | 11520 | Aug-15 | 14905 |
Jan-05 | 7507 | Aug-08 | 10541 | Feb-12 | 11414 | Sep-15 | 13982 |
Feb-05 | 7341 | Sep-08 | 9844 | Mar-12 | 12696 | Oct-15 | 14575 |
Mar-05 | 8243 | Oct-08 | 10455 | Apr-12 | 12140 | Nov-15 | 13838 |
Apr-05 | 8269 | Nov-08 | 9715 | May-12 | 12857 | Dec-15 | 15478 |
May-05 | 8615 | Dec-08 | 10338 | Jun-12 | 12685 |
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Jun-05 | 8549 | Jan-09 | 9583 | Jul-12 | 12873 |
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Jul-05 | 8902 |
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| Aug-12 | 13357 |
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Step by Step Solution
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The first year and the last year are shown below for the three period moving average Date Sales 000000 MA3 MA3 Forecast Error Absolute Error Absolute ... View full answer
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