Illustration 23. State by using the method of First Differences if the straight line model is suitable to find the trend values for the following time series : 1998 170 1997 Year : Sales : 1995 107 1996 129 1991 1992 1993 1994 30 50 72 90 147
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- Table 4 gives the population of a town (in thousand) from 2000 to 2008. What was the average rate of change of population (a) between 2002 and 2004, and (b) between 2002 and 2006?The US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year period. Year 1997 1998 1999 2000 2001 Jobs 630 680 715 745 770 What is the average rate of change in the number of living wage jobs from 1997 to 1999?--------- Jobs/YearWhat is the average rate of change in the number of living wage jobs from 1999 to 2001?---------- Jobs/Year
- For the hawkins company, the monthly percentages of all shipments received on timeover the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83.a. construct a time series plot. What type of pattern exists in the data?John Kittle, an independent insurance agent, uses a five-year moving average to forecast the number of claims made in a single year for one of the large insurance companies he sells for. He has just discovered that a clerk in his employ incorrectly entered the number of claims made four years ago as 1,400 when it should have been 1,200.a. What adjustment should Mr. Kittle make in next year’s forecast to take into account the corrected value of the number of claims four years ago?b. Suppose that Mr. Kittle used simple exponential smoothing with a = .2instead of moving averages to determine his forecast. What adjustment is now required in next year’s forecast? (Note that you do not need to know the value of the forecast for next year in order to solve this problem.)The following graph shows a rough approximation of historical and projected median home prices for a country for the period 2000-2024. (Fill in blanks)
- The following ratio-to-moving averages for the seasonally adjusted series were found by the decomposition method applied on a time series representing quarterly sales for January 2018 to December 2020 period: a. Calculate the Seasonal Index for every quarter. b. If the trend is described by the trend line T^ = 1,000 + 30 t, what is the forecast for the fourth quarter of 2021?If we assume the linear trend existed before 1950 and continues after 2000, the states median house values will be (or were) equal in what year?Suppose the following table shows the approximate price of a certain stock in December of each year from 2005 through 2014, as well as the 4-year moving averages for 2005 through 2007.† Complete the table by computing the remaining 4-year moving averages. (Note the peak in 2007 and the drop in subsequent years.) Round each average to the nearest dollar. (Chart in picture)
- Suppose the following table shows the approximate price of a certain stock in December of each year from 2005 through 2014, as well as the 4-year moving averages for 2005 through 2007.† Complete the table by computing the remaining 4-year moving averages. (Note the peak in 2007 and the drop in subsequent years.) Round each average to the nearest dollar.Please answer the following questions using the images provided for data in the images. 1. Which of the following time periods will have the largest annual average increase in the percentage of jobs that could be fully automated (based on the provided images attached)? A) 2020-2028 B) 2028-2030 C) 2030-2035 D) 2035-2040 E) 2040-2050 2. What is the ratio of the total jobs at risk in Transportation and Storage to those at riks in Retail? A) 4.68:7.79 B) 7.79:4.68 C) 52:41 D) 9:19 E) 30:27 3. Salaries in Finance and Insurance are twice as much as the average salary. What is the total amount spent on Finance and Insurance salaries in Switzerland per year (based only on the provided information and images)? 4. What timescale is the title of the grapth (image attached) most likely to be referring to when it says the future? A) 2080 B) 2050 C) 2030 D) 2028 E) 2020 5. Which of the following is the largest number of jobs that could theoretically be within the software industry at…Use the most accurate method to forecast the revenues of licenses, permits, and fees in Years 9, 10, and 11. Use the Year 8 actual figure instead of the forecast figure (Year 8 was $23,210,218). Also, consider three incremental changes in forecasting.