Consider the following time series data. Week 1 2 3 4 5 6 Value 19 14 17 12 18 15 (a) Construct a time series plot. A time series plot contains a series of 6 points connected by line segments. The...


Consider the following time series data.






















Week123456
Value191417121815


(a)


Construct a time series plot.




A time series plot contains a series of 6 points connected by line segments. The horizontal axis ranges from 0 to 7 and is labeled: Week. The vertical axis ranges from 0 to 20 and is labeled: Time Series Value. The points are plotted from left to right in regular increments of 1 week starting at week 1. The points appear to vary randomly between 10 to 17 on the vertical axis. The plot reaches its maximum time series value at week 6.



A time series plot contains a series of 6 points connected by line segments. The horizontal axis ranges from 0 to 7 and is labeled: Week. The vertical axis ranges from 0 to 20 and is labeled: Time Series Value. The points are plotted from left to right in regular increments of 1 week starting at week 1. The points appear to vary randomly between 12 to 19 on the vertical axis. The plot reaches its maximum time series value at week 1.



A time series plot contains a series of 6 points connected by line segments. The horizontal axis ranges from 0 to 7 and is labeled: Week. The vertical axis ranges from 0 to 20 and is labeled: Time Series Value. The points are plotted from left to right in regular increments of 1 week starting at week 1. The points appear to vary randomly between 10 to 17 on the vertical axis. The plot reaches its maximum time series value at week 1.



A time series plot contains a series of 6 points connected by line segments. The horizontal axis ranges from 0 to 7 and is labeled: Week. The vertical axis ranges from 0 to 20 and is labeled: Time Series Value. The points are plotted from left to right in regular increments of 1 week starting at week 1. The points appear to vary randomly between 12 to 19 on the vertical axis. The plot reaches its maximum time series value at week 6.








(b)


Develop the three-week moving average forecasts for this time series. (Round your answers to two decimal places.)








































WeekTime Series
Value
Forecast
119
214
317
412
518
615


Compute MSE. (Round your answer to two decimal places.)

MSE =

What is the forecast for week 7?





(c)


Use ? = 0.2 to compute the exponential smoothing forecasts for the time series.








































WeekTime Series
Value
Forecast
119
214
317
412
518
615


Compute MSE. (Round your answer to two decimal places.)

MSE =

What is the forecast for week 7? (Round your answer to two decimal places.)






(d)


Use a smoothing constant of ? = 0.4 to compute the exponential smoothing forecasts.








































WeekTime Series
Value
Forecast
119
214
317
412
518
615








Jun 09, 2022
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