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- 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?Table 3 gives the annual sales (in millions of dollars) of a product from 1998 to 20006. What was the average rate of change of annual sales (a) between 2001 and 2002, and (b) between 2001 and 2004?Table 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?
- 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?Cable TV The following table shows the number C. in millions, of basic subscribers to cable TV in the indicated year These data are from the Statistical Abstract of the United States. Year 1975 1980 1985 1990 1995 2000 C 9.8 17.5 35.4 50.5 60.6 60.6 a. Use regression to find a logistic model for these data. b. By what annual percentage would you expect the number of cable subscribers to grow in the absence of limiting factors? c. The estimated number of subscribers in 2005 was 65.3million. What light does this shed on the model you found in part a?The U.S. Census tracks the percentage of persons 25 years or older who are college graduates. That data forseveral years is given in Table 4[14]. Determine whether the trend appears linear. If so, and assuming the trendcontinues. in what year will the percentage exceed 35%?
- DVD Player Sales The table shows the number of DVD players sold in a small electronics store in the years 2003-2013. Year DVD players sold 2003 495 2004 513 2005 410 2006 402 2007 520 2008 580 2009 631 2010 719 2011 624 2012 582 2013 635 aWhat was the average rate of change of sales between 2003 and 2013? bWhat was the average rate of change of sales between 2003 and 2004? cWhat was the average rate of change of sales between 2004 and 2005? dBetween which two successive years did DVD player sales increase most quickly? Decrease most quickly?Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?The table shows the sales revenue from the past 8 quarters. What is the 4-period moving average forecast of the next quarter? Year 1 Year 2 Year 3 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 11 10 9 12 10 7 7 11 ?
- hudson Marine has been an authorized dealer for c&d marine radios for the past sevenyears. the following table reports the number of radios sold each year.Year 1 2 3 4 5 6 7Number Sold 35 50 75 90 105 110 130a. construct a time series plot. does a linear trend appear to be present?b. Using Minitab or excel, develop a linear trend equation for this time series.c. Use the linear trend equation developed in part (b) to develop a forecast for annualsales in year 8.Consider the given data for the percent of participation of the 18-24-year-old group, y, as a function of years after 1964, x as below: year x y 1964 0 51.0 1968 4 50.0 1972 8 49.0 1976 12 42.0 1980 16 40.0 1984 20 42.0 1988 24 36.0 1992 28 44.0 1996 32 32.0 2000 36 32.0 2004 40 43.0 2008 44 45.0 2012 48 38.0 Create a linear model of the trend for the percent of participation of the 18-24-year-old group, y, as a function of years after 1964, x, using Desmos.The following table shows the average monthly production of coal in tonnes for the year 2010-2019. Year Production (in tonnes) Year Production (in tonnes) 2010 50.0 2015 38.1 2011 36.5 2016 32.6 2012 43.0 2017 41.7 2013 44.5 2018 41.1 2014 38.9 2019 33.8 Compute the price indices from 2010 to 2019 by taking 2019 as the base year. Compare the price of 2014 and 2017. What is the percentage (%) change in the production from 2016 to 2019?
