For the
Linear,
Quadratic,
Quadratic
Polynomial, neither quadratic nor linear
Exponential,
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- Sam Jones has 2 years of historical sales data for his company. He is applyingfor a business loan and must supply his projections of sales by month for thenext 2 years to the bank. a. Using the data from Table 6–12, provide a regression forecast for timeperiods 25 through 48.b. Does Sam’s sales data show a seasonal pattern?arrow_forwardNational Debt The size of the total debt owed by the UnitedStates federal government continues to grow. In fact,according to the Department of the Treasury, the debt perperson living in the United States is approximately $53,000(or over $140,000 per U.S. household). The following datarepresent the U.S. debt for the years 2001–2014. Since thedebt D depends on the year y, and each input correspondsto exactly one output, the debt is a function of the year. SoD1y2 represents the debt for each year y. Source: www.treasurydirect.govDebt (billions Debt (billionsYear of dollars) Year of dollars)2001 5807 2008 10,0252002 6228 2009 11,9102003 6783 2010 13,5622004 7379 2011 14,7902005 7933 2012 16,0662006 8507 2013 16,7382007 9008 2014 17,824 (a) Plot the points 12001, 58072, 12002, 62282, and so on ina Cartesian plane.(b) Draw a line segment from the point 12001, 58072 to12006, 85072. What does the slope of this line segmentrepresent?(c) Find the average rate of change of the debt from 2002…arrow_forwardYou are part of a government task force evaluating whether new models of cars will meet fuel efficiency standards set out by the newly signed climate bill. You have run an ANCOVA model that predicts fuel efficiency (in miles per gallon) as a function of vehicle weight (measured in thousands of lbs, where a value of 2.5 would correspond to 2,500 lbs), horsepower, and number of cylinders in the car (cylinders is a factor in this model with 3 levels: 4 cylinders, 6 cylinders, and 8 cylinders). Your analysis tells you the following; The mean miles per gallon of all cars analyzed is 20.09 The mean weight of all cars analyzed is 3.217 thousand lbs The mean horsepower of all cars analyzed is 146.7 The regression coefficient for weight is -3.18 miles per gallon per additional thousand lbs The regression coefficient for horsepower is -0.023 miles per gallon per additional unit of horsepower Cars with 4 cylinders get 2.13 more miles per gallon, on average, than the average car Toyota is…arrow_forward
- #4 (2)arrow_forward21–23. Language enrollments. The line graph in Figure 2.28 shows total course enrollments in languages other than English in U.S. institutions of higher education from 1960 to 2009. (Enrollments in ancient Greek and Latin are not included.) Exercises 21 through 23 refer to this figure. 1,800,000 1,629,326 1.522.770 1,600,000 - 1,400,000 - 1347.036 1,200,000- 1,073,097 1,067,217 1,000.000 - 975.7m 963,930 883.222 1.06.603 922,439 960.588 B00,000 - 97.077 877.91 600,000 - 608,749 400.000 - 200,000 - 1960 1965 1968 | 1972 1977 1980 1983 1986 1990 1995 199 2002 2006 2009 1970 1974 Figure 2.28 Crauder, et al., Quantitative Literacy, 3e, © 2019 W. H. Freeman and Company FIGURE 2.28 Enrollments in languages other than English in U.S. institutions of higher education (2009). 21. During which time periods did the enrollments decrease? 22. Calculate the average growth rate per year in enrollments over the two periods 1960–1965 and 2006– 2009. Note that the time periods are not of the same…arrow_forwardEXAMPLE 6.56 If λ = 2 per hour and u = 4 per hour in a 2-capacity single- server queueing system, find the effective arrival rate.arrow_forward
- Consider the following table where g (x), h(x), and m(x) arearrow_forwardThe file P02_26.xlsx lists sales (in millions of dollars) of Dell Computer during the period 1987–1997 (where year 1 corresponds to 1987). Year Sales 1 69 2 159 3 258 4 389 5 546 6 890 7 2014 8 2873 9 3475 10 5296 11 7759 a. Fit a power and an exponential trend curve to these data. Which fits the data better? b. Use your part a answer to predict 1999 sales for Dell. c. Use your part a answer to describe how the sales of Dell have grown from year to year.arrow_forward2. Which model-linear, quadratic, or exponential-seems most appropriate for this scatter plot? Xarrow_forward
- Listed below are the numbers of deaths resulting from motor vehicle crashes. Let x represent the year, with 1975 coded as x = 1, 1980 coded as x = 6, 1985 coded as x = 11, and so on. Construct a scatterplot and identify the mathematical model that best fits the given data. Use the best model to find the projected number of deaths for the year 2028. x (year) 1975 1980 1985 1990 1995 2000 2005 2010 D y (deaths) 44,533 51,122 43,809 44,590 41,798 41,960 43,436 32,697 (...) Choose the correct graph below. O A. O B. O C. D. 52000- 52000- 52000- 52000- DDDD 00 X X X X 32000+ 32000 32000+ 32000+ 0 40 0 40 0 40 0 40 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) O A. y= X B. y = + In x O C. y = + O D. X y=² O E. y = x² + X + Use the best model to find the projected number of such deaths for the year 2028. The projected…arrow_forwardThe following table gives the quantity demanded of ice cream (Qic) in kgs per year in Sardinia (Italy), its price (Pic) in $ per kg, consumers’ income (I) in $, the temperature (T) in Celsius, and the price of cappuccino (Pc) in $ per kg: Year Qic Pic ($/kg) I ($) T Pc ($/kg) 2000 72000 11 2000 20 14 2001 81000 10 2100 24 15 2002 90000 9 2200 25 15 2003 99000 7 2305 26 16 2004 108000 6 2407 30 17 2005 126000 4 2500 32 18 2006 117000 7 2610 26 16 2007 117000 8 2698 25 16 2008 135000 5 2801 31 18 2009 135000 5 2921 31 18 2010 144000 4 3000 34 20 2011 180000 2 3099 36 21 2012 162000 5 3201 33 19 2013 171000 4 3308 35 21 2014 153000 6 3397 30 18 2015 180000 3 3501 35 22 2016 171000 4 3689 33 20 2017 180000 3 3800 36 23…arrow_forwardThe following table gives the quantity demanded of ice cream (Qic) in kgs per year in Sardinia (Italy), its price (Pic) in $ per kg, consumers’ income (I) in $, the temperature (T) in Celsius, and the price of cappuccino (Pc) in $ per kg: Year Qic Pic ($/kg) I ($) T Pc ($/kg) 2000 72000 11 2000 20 14 2001 81000 10 2100 24 15 2002 90000 9 2200 25 15 2003 99000 7 2305 26 16 2004 108000 6 2407 30 17 2005 126000 4 2500 32 18 2006 117000 7 2610 26 16 2007 117000 8 2698 25 16 2008 135000 5 2801 31 18 2009 135000 5 2921 31 18 2010 144000 4 3000 34 20 2011 180000 2 3099 36 21 2012 162000 5 3201 33 19 2013 171000 4 3308 35 21 2014 153000 6 3397 30 18 2015 180000 3 3501 35 22 2016 171000 4 3689 33 20 2017 180000 3 3800 36 23…arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage