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- A statistical program is recommended. Suppose the following data shows a company's annual revenue from 2008 (period 1) to 2017 (period 10) in billions of dollars. ● Year Period 2008 2009 2010 T₂= 2011 2012 2013 2014 2015 2016 2017 120 100 80- 60 40 20 1 0 2 3 3 4 (a) Construct a time-series plot. 5 6 7 9 10 Annual Revenue ($ billions) $22.80 $24.65 $28.32 $37.91 $50.18 $54.50 $66.00 $73.99 $90.27 $110.86 01 1 2 3 4 5 6 7 8 9 10 11 Period What type of pattern exists? O The time series plot shows a horizontal pattern. O The time series plot indicates a linear pattern. O The time series plot shows a cyclical pattern. The time series plot indicates curvature in the data. 0 120 100 80+ 60 40 20- 0 0 1 2 3 5 6 7 8 9 10 11 Period 45 (b) Develop a quadratic trend equation. (Round your numerical values to four decimal places.) 120T 100 80 60 40 20+ 0 01 1 2 3 4 5 6 7 8 9 10 11 Period ✔ 120 100 80 60 40- 20+ 0 0 1 2 3 4 5 6 7 8 9 10 11 Period 0Hudson Marine provides boats sales, service, and maintenance. Boat trailers are one of its top sales items. Suppose the quarterly sales values for the seven years of historical data are as follows. Do not round intermediate calculations. a. Compute the centered moving average values (first find Four-Quarter Moving Average) for this time series (to 3 decimals). Centered Moving Average t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Sales 5 17 8 6 9 16 16 7 14 24 22 12 18 26 26 20 24 33 28 23 22 36 29 18 28 42 33 28 9.625 Year 1 2 3 4 5 6 7 Quarter 1 5 9 14 18 24 22 28 Quarter 2 17 16 24 26 33 36 42 Quarter 3 B 16 22 26 28 29 33 Quarter 4 6 7 12 20 23 18 28 Total Yearly Sales 36 48 72 90 108 105 131Respond to each of the items using the following time series data. Period Demand 1 104 2 132 3 117 4 120 5 104 6 141 7 120 8 136 9 109 10 143 11 142 12 109 13 113 14 124 15 113 16 107
- (b) Using statistical software, develop a linear trend equation for this time series to forecast revenue (in $ billions). (Round your numerical values to four decimal places.) T₂ = 2.8450+ - 0.0124 X (c) Use the trend equation developed in part (b) to forecast retail store revenue (in $ billions) for 2018. (Round your answer to one decimal place.) $34.1 billionQUESTION 8 Series A 300 250 200 150 100 50 1 2 3 4 5 6 7 8 9 10 11 12 13 Which forecasting method would be most appropriate for time series A? a. Winter's b. Holt's c. SARIMAConsider the following time series data: Month 1 2 3 4 5 6 7 Value 24 12 20 11 19 24 16 (a) Compute MSE using the most recent value as the forecast for the next period. If required, round your answer to one decimal place. What is the forecast for month 8? If required, round your answer to one decimal place. Do not round intermediate calculation. (b) Compute MSE using the average of all the data available as the forecast for the next period. If required, round your answer to one decimal place. Do not round intermediate calculation. What is the forecast for month 8? If required, round your answer to one decimal place. (c) Which method appears to provide the better forecast? All Data average or Naiive
- A statistical program is recommended. Annual retail store revenue for a technology company from 2007 to 2017 are shown below. Year Period 2007 Retail Store Revenue ($ billions) 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 35 30 25 20 15 10 35 30 25 20 15 10 5- 0- 1 (a) Construct a time series plot. + 2 3 4 0 1 2 5 6 7 8 9 10 11 Retail Store Revenue ($ billions) 30 25 20 WML 15 10 0 1 2 3 4 5 6 7 8 9 10 11 12 Period 3.915 3 4 6.110 6.777 9.280 14.327 19.028 20.428 21.662 28.309 26.998 30.703 5 6 Period 7 8 9 10 11 12 What type of pattern exists in the data? The time series plot shows a cyclical pattern. The time series plot shows a horizontal pattern. O The time series plot shows a downward trend. The time series plot shows an upward trend. o Retail Store Revenue ($ billions) 35 35 30 25 20 15 10 0 1 2 3 4 5 6 7 8 9 10 11 12 Period VV 5- 0- 0 1 2 3 4 5 6 7 8 9 10 11 12 Period A (b) Using statistical software, develop a linear trend equation for this time series to forecast revenue…The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014. Year Period (t) Revenue ($ billions) 2009 23.6 2010 29.3 2011 37.9 2012 4 50.2 2013 59.9 2014 6 66.7 (a) Construct a time series plot. 80- 80 80 80 70 70 70 70 60 60 60 60 50 50 50 50 40 40 40 40 30 30- 30 30 20- 20 20 20 10 10 10- 10 1 2 3 4 5 6 7 0- 1 2 3 4 5 7 1 3 4 5 6 7 1 3 4 5 6 7 Period Period Period Period What type of pattern exists in the data? O The time series plot shows a downward linear trend. O The time series plot shows an upward linear trend. O The time series plot shows an upward curvilinear trend. O The time series plot shows a downward curvilinear trend. (b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.) T. = -18323.211 +9.131lt (c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three…Consider the following time series data: Month 1 2 3 4 5 6 7 Value 25 13 19 11 19 23 16 (a) Compute MSE using the most recent value as the forecast for the next period. If required, round your answer to one decimal place. (b) Compute MSE using the average of all the data available as the forecast for the next period. If required, round your answer to one decimal place. Do not round intermediate calculation. What is the forecast for month 8? If required, round your answer to one decimal place.
- The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014. Year Period (t) Revenue ($ billions) 2009 23.8 2010 2 29.3 2011 3 38.0 2012 4 50.2 2013 59.8 2014 66.8 (a) Construct a time series plot. 80 T 80- 80- 80 T 70 70 70 70 60 60 60- 60 50 50- 50 0- 50- 40 40- 40 40 30 30 30 30 20 20 20 20 10 10 10 10- 0- 0- 1 3 4 5 6. 7. 1 2 3 4 5 6 7 0 1 2 3 4 6. 7 0 1 3 4 7 Period Period Period Perjod What type of pattern exists in the data? The time series plot shows a downward curvilinear trend. O The time series plot shows a downward linear trend. O The time series plot shows an upward curvilinear trend. O The time series plot shows an upward linear trend. (b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.) T: = (c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three…The number of users of a certain website (in millions) from 2004 through 2011 follows. Year Period Users (Millions) 2004 1 1 2005 2 5 2006 3 11 2007 4 59 2008 5 146 2009 6 360 2010 7 608 2011 8 846 (a) Construct a time series plot. -A time series plot contains a series of 8 points connected by line segments. The horizontal axis ranges from 0 to 10 and is labeled: Period. The vertical axis ranges from 0 to 900 and is labeled: Millions of Users. The first point is at approximately (1, 850). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction that becomes less steep as period increases. The last point is at approximately (8, 0). -A time series plot contains a series of 8 points connected by line segments. The horizontal axis ranges from 0 to 10 and is labeled: Period. The vertical axis ranges from 0 to 900 and is labeled: Millions of Users. The first point is at approximately (1, 0). The rest are…Consider the accompanying time series. a. Forecast the demand for each quarter in Year 4 using multiplicative decomposition. b. Interpret the meaning of the seasonal components. c. Calculate the MAD for this forecast. Click the icon to view the time series data table. Time Series Data Table Year 1 Quarter 1234 Demand 33 19 255 26 15 Quarter 1 2 3 A W 4 Year 2 Print Demand 26 18 25 8 Done Quarter 1 234 Year 3 2 Demand 28 15 23 5 n X