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Following table provides the number of bottles of Shimmer Shampoo sold at a grocery store over the previous 30 weeks. Week 1 2 3 4 5 6 7 8 9 10 Sales Week 339 11 319 12 352 13 330 14 378 392 390 395 386 383 15 16 17 18 19 20 Sales Week Sales 396 21 450 396 22 444 412 23 456 387 24 449 382 25 428 26 444 27 389 28 447 29 395 30 417 423 386 420 417 474

Following table provides the number of bottles of Shimmer Shampoo sold at a grocery store over the previous 30 weeks. Week 1 2 3 4 5 6 7 8 9 10 Sales Week 339 11 319 12 352 13 330 14 378 392 390 395 386 383 15 16 17 18 19 20 Sales Week Sales 396 21 450 396 22 444 412 23 456 387 24 449 382 25 428 26 444 27 389 28 447 29 395 30 417 423 386 420 417 474

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 88CR
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Following table provides the number of bottles of Shimmer Shampoo sold at a grocery store over the previous 30 weeks. Week 1 2 3 4 5 6 7 8 9 10 Sales Week Sales 11 396 12 396 13 412 14 387 15 382 16 423 17 18 19 20 339 319 352 330 378 392 390 395 386 383 386 420 417 474 Week Sales 21 450 22 444 23 456 24 449 428 444 25 26 27 28 29 30 389 447 395 417 Use any software of your choice (a) Plot the time series of the original data. Give your opinion on whether this TS is stationary or not (b) Find the first order differences, plot it and give your opinion on whether to choose the original Shimmer Shampoo sales values yt, or the first differences zt, for the stationary times series. (c) Assuming that the original time series y, is stationary, identify a tentative model for the time series yt, including the decision about whether to include a constant term. (d) Assuming that the original data, Shimmer Shampoo sales yɩ are not stationary and the first differences zą are stationary, identify a tentative model for the first differences Zt including the decision about whether to include a constant term.
Transcribed Image Text:Following table provides the number of bottles of Shimmer Shampoo sold at a grocery store over the previous 30 weeks. Week 1 2 3 4 5 6 7 8 9 10 Sales Week Sales 11 396 12 396 13 412 14 387 15 382 16 423 17 18 19 20 339 319 352 330 378 392 390 395 386 383 386 420 417 474 Week Sales 21 450 22 444 23 456 24 449 428 444 25 26 27 28 29 30 389 447 395 417 Use any software of your choice (a) Plot the time series of the original data. Give your opinion on whether this TS is stationary or not (b) Find the first order differences, plot it and give your opinion on whether to choose the original Shimmer Shampoo sales values yt, or the first differences zt, for the stationary times series. (c) Assuming that the original time series y, is stationary, identify a tentative model for the time series yt, including the decision about whether to include a constant term. (d) Assuming that the original data, Shimmer Shampoo sales yɩ are not stationary and the first differences zą are stationary, identify a tentative model for the first differences Zt including the decision about whether to include a constant term.
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