Consider the following time series. 1 3 4 Yt 10 10 14 16 (a) Choose the correct time series plot. (i) (ii) 16 16 14 14 12 12 10 10 2 3 4 2 3. 4 (iii) (iv) 16 16 14 14 12 12 10 10 4 2 1. 2 3. 4 1 2 3. Plot (i) What type of pattern exists in the data?
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- 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…Please show me all steps.
- Consider the following time series data. Month 1 2 3 4 5 6 7 Value 25 14 21 13 20 24 16 (a) Construct a time series plot. -A time series plot contains a series of 7 points connected by line segments. The horizontal axis ranges from 0 to 8 and is labeled: Month. The vertical axis ranges from 0 to 30 and is labeled: Time Series Value. The points are plotted from left to right at regular increments of 1 month starting at month 1. The points appear to vary randomly between 8 to 20 on the vertical axis. The plot reaches its maximum time series value at month 1. -A time series plot contains a series of 7 points connected by line segments. The horizontal axis ranges from 0 to 8 and is labeled: Month. The vertical axis ranges from 0 to 30 and is labeled: Time Series Value. The points are plotted from left to right at regular increments of 1 month starting at month 1. The points appear to vary randomly between 8 to 20 on the vertical axis. The plot reaches its maximum time…The following time-series diagram tracks the performance of two stocks during the month of October. Describe the overall trend of the two stocks. By what percentage did the value of each stock increase or decrease during the month of October? Stock 2 $200 Stock 1 T$150 Stock 2 -$100 Stock 1 T$ 50 1 5 11 16 21 26 31 October a. Stock 2 increased by 200%. Stock 1 decreased by 50%. b. Stock 2 increased by 100%. Stock 1 decreased by 50% c. Stock 2 increased by 200%. Stock 1 decreased by 33% d. Stock 2 increased by 100%. Stock 1 decreased by 33%.2 3 The following data shows the quarterly sales of the LukeHydro tents at a Aubrey Sporting Goods Store. 4 The store owner wants to forecast the quarterly sales for the next year. 5 6 (a) Construct a time series plot. What type of pattern exists in the data? 7 8 (b) Use dummy variables and multiple regression to find a multiple regression equation that accounts for seasonal effects in the data. 9 10 (c) Based on this model, estimate the quarterly sales for the fourth year. 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Year 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 Quarter 1 2 3 4 1 2 3 4 1 2 3 4 1 2 34 Q1 Q2 Q3 Sales 74 53 61 82 71 45 65 87 67 57 58 78