Nicole Miller’s daughter decided not to follow into the family apparel business. She was interested in her grandmother’s ice cream business. She found from her Uncle that they kept record while grandma lived in Chicago. The data is show at right. Time series data (monthly sales in dollars, $1,000 omitted)
Do a 3-month moving average, what is July 2013 forecast?
Do a 6-month moving average, what is the October 2013 forecast?
Do a 12-month moving average, what is April 2014 forecast?
What is the long-term prospect of this business?
Year | Month | Period | Sales | MA-3 | MA-6 | MA-12 |
2013 | Apr | 1 | 327 | |||
May | 2 | 288 | ||||
Jun | 3 | 269 | ||||
Jul | 4 | 256 | 294.7 | |||
Aug | 5 | 286 | 271.0 | |||
Sep | 6 | 298 | 270.3 | |||
Oct | 7 | 318 | 280.0 | 287.3 | ||
Nov | 8 | 329 | 300.7 | 285.8 | ||
Dec | 9 | 381 | 315.0 | 292.7 | ||
2014 | Jan | 10 | 470 | 342.7 | 311.3 | |
Feb | 11 | 443 | 393.3 | 347.0 | ||
Mar | 12 | 386 | 431.3 | 373.2 | ||
Apr | 13 | 342 | 433.0 | 387.8 | 337.6 | |
May | 14 | 319 | 390.3 | 391.8 | 338.8 | |
Jun | 15 | 307 | 349.0 | 390.2 | 341.4 | |
Jul | 16 | 284 | 322.7 | 377.8 | 344.6 | |
Aug | 17 | 309 | 303.3 | 346.8 | 346.9 | |
Sep | 18 | 326 | 300.0 | 324.5 | 348.8 | |
Oct | 19 | 359 | 306.3 | 314.5 | 351.2 | |
Nov | 20 | 376 | 331.3 | 317.3 | 354.6 | |
Dec | 21 | 416 | 353.7 | 326.8 | 358.5 | |
2015 | Jan | 22 | 548 | 383.7 | 345.0 | 361.4 |
Feb | 23 | 506 | 446.7 | 389.0 | 367.9 | |
Mar | 24 | 444 | 490.0 | 421.8 | 373.2 | |
Apr | 25 | 448 | 499.3 | 441.5 | 378.0 | |
May | 26 | 408 | 466.0 | 456.3 | 386.8 | |
Jun | 27 | 387 | 433.3 | 461.7 | 394.3 | |
Jul | 28 | 373 | 414.3 | 456.8 | 400.9 | |
Aug | 29 | 408 | 389.3 | 427.7 | 408.3 | |
Sep | 30 | 420 | 389.3 | 411.3 | 416.6 | |
Oct | 31 | 429 | 400.3 | 407.3 | 424.4 | |
Nov | 32 | 442 | 419.0 | 404.2 | 430.3 | |
Dec | 33 | 499 | 430.3 | 409.8 | 435.8 | |
2016 | Jan | 34 | 589 | 456.7 | 428.5 | 442.7 |
Feb | 35 | 561 | 510.0 | 464.5 | 446.1 | |
Mar | 36 | 493 | 549.7 | 490.0 | 450.7 | |
Apr | 37 | 461 | 547.7 | 502.2 | 454.8 | |
May | 38 | 430 | 505.0 | 507.5 | 455.8 | |
Jun | 39 | 434 | 461.3 | 505.5 | 457.7 | |
Jul | 40 | 406 | 441.7 | 494.7 | 461.6 | |
Aug | 41 | 428 | 423.3 | 464.2 | 464.3 | |
Sep | 42 | 450 | 422.7 | 442.0 | 466.0 | |
Oct | 43 | 481 | 428.0 | 434.8 | 468.5 | |
Nov | 44 | 485 | 453.0 | 438.2 | 472.8 | |
Dec | 45 | 536 | 472.0 | 447.3 | 476.4 | |
2017 | Jan | 46 | 556 | 500.7 | 464.3 | 479.5 |
Feb | 47 | 658 | 525.7 | 489.3 | 476.8 | |
Mar | 48 | 557 | 583.3 | 527.7 | 484.8 |
Calculations:
The time-series plot clearly shows that there is an increasing trend in sales over the period. So, the long-term prospect of the business seems good given the economy is stable.
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