What pattern does the time series shown in the plot below demonstrate? 500 450 400 350 300 250 200 150 100 50 0 A Trend and seasonality Seasonality 5 A horizontal pattern Trend Revenue 10 15 20 25
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- The elevation of a lake surface (feet above sea level) varies according to the annual flow of a river that feeds it. A geological survey provided the following data from equally spaced intervals of time over a 15 year period. Time Period Elevation 1 4817 2 4819 3 4824 4 4822 5 4826 6 4831 7 4836 8 4837 9 4839 10 4837 11 4832 12 4827 13 4823 14 4818 15 4817 Make a time-series graph displaying the data.The time-series component that exhibits fluctuations over many years above and below the trend is _______. Multiple Choice irregular cycles seasonality autocorrelationcorporate triple-a bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. construct a time series plot. What type of pattern exists in the data?b. develop three-month and four-month moving averages for this time series. does thethree-month or four-month moving average provide more accurate forecasts basedon MSe? explain.
- The table below contains the average price paid for a new home in a certain area from 2000 to 2010. a. Construct a time-series plot of new home prices. b. What pattern, if any, is present in the data? Year Average_Price_($_thousands)2000 351.12001 330.52002 310.52003 296.72004 229.72005 182.32006 154.52007 156.32008 154.72009 154.52010 154.5Time series plots – Analyze each of these cycle time data separately: C3, C12, C13. That means three different analysis and conclusions. C3 19.98211 20.01223 20.02408 19.94534 19.86814 20.18784 19.92074 20.0778 19.88045 20.08633 19.99881 20.04184 19.7936 19.93159 20.19998 20.18833 20.12368 19.91343 20.1602 20.09396 20.11419 19.9063 20.12964 20.05677 20.19697 19.99937 19.90751 19.96483 20.18774 20.0918 19.9792 20.07172 19.9186 20.08611 20.09117 19.93258 19.99907 19.91208 20.03714 20.12984 20.00285 19.93255 19.9854 19.83015 19.95231 19.91526 20.05989 20.07966 19.97102 19.96757 20.19034 20.4674 20.58558 20.55566 20.42956 20.57294 20.51652 20.51833 20.28469 20.48759 20.54724 20.47618 20.53128 20.31026 20.45437 20.57081 20.53627 20.47538 20.40743 20.61406 20.401 20.44944 20.65229 20.59822 20.36483 20.67807 20.5292 20.57181…corporate triple-a bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. construct a time series plot. What type of pattern exists in the data?b. develop three-month and four-month moving averages for this time series. does thethree-month or four-month moving average provide more accurate forecasts basedon MSe? explain.c. What is the moving average forecast for the next month?
- A time series is a collection of data that _______. Multiple Choice records past performance records future performance is limited to yearly data is limited to quarterly data#4) Commuter ridership in Athens, Greece, during the summer months is believed to be heavily tied to the number of tourists visiting the city. During the past 12 years, the data are given in the following table. Year Number of Tourists (millions) Ridership (hundreds of thousands) 1 6 11 2 11 16 3 8 16 4 10 14 5 19 28 6 18 26 7 16 21 8 20 25 9 24 45 10 18 28 11 11 18 12 19 35 a) Create a time series plot for the ridership. b) Using linear regression to see if using the year is a good predictor for the ridership. What is the regression equation? How accurate is the model? c) Using linear regression to see if using the number of tourists is a good predictor for the ridership. What is the regression equation? How accurate is the model? d) Which linear regression equation is better? What is the expected ridership if 10 million tourists visit the city next year? e) Excel File16. Recurrent upward and downward movements in a time series are called_________________. a. Secular Trend b. Irregular Variations c. Seasonal Variations d. Cyclical Variations
- A statistical program is recommended. The number of users of a certain website (in millions) from 2004 through 2011 follows. Year Period Users (Millions) 2004 1 1 2005 2 7 2006 3 11 2007 4 57 2008 5 146 2009 6 359 2010 7 609 2011 8 845 (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 doesn't appear to become more or 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.…Describe the following time-series patterns: a. Horizontal Pattern b. Trend Pattern c. Seasonal Pattern d. Cyclical PatternThe Seneca Children’s Fund (SCC) is a local charity that runs a summer camp for disadvantagedchildren. The fund’s board of directors has been working very hard over recentyears to decrease the amount of overhead expenses, a major factor in how charities arerated by independent agencies. The following data show the percentage of the money SCChas raised that was spent on administrative and fund-raising expenses over the last sevenyears. a. Construct a time series plot. What type of pattern exists in the data?b. Use simple linear regression analysis to find the parameters for the line that minimizesMSE for this time series.c. Forecast the percentage of administrative expenses for year 8.d. If SCC can maintain its current trend in reducing administrative expenses, how longwill it take SCC to achieve a level of 5 percent or less?