The table shows the total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2024.Year Income ($ billions) YearIncome ($ billions)1960200812,100.71970201414,728.619,129.622,685.1198019902000411.5838.82307.94878.68429.7(a) These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960 and y as the total personal income in billions of dollars.(Round your numerical values to three decimal places.)y = 411.5 x 1.669XRead ItX(b) Does the unrounded model overestimate or underestimate the total personal income given in the table for 2018?The model overestimates the projected total.O The model underestimates the projected total.20182024Awesome job!(c) Graphically determine the year the model predicts total personal income will reach $26 trillion.2068Need Help?Watch It

Here, x represents number of years since 1960 and y represents income (in billions of dollars) after…

Answered: The table shows the total personal…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Gary is creating an index that helps compare the salaries of two jobs that he is considering. In the table below, what is the 2017 value for the Salary Index of Job 2? Base Salaries (2015-2017) 2015 2016 2017 Job 1 $30,000 $37,000 $39,000 Job 2 $40,000 $45,000 $53,000 Salary Index (2015-2017) 2015 2016 2017 Job 1 100 123 130 Job 2 100 113 ? 133 153 130 123
The table below contains real data for the first two decades of AIDS reporting. Year # AIDS cases diagnosed # AIDS deaths Pre-1981 91 29 1981 319 121 1982 1,170 453 1983 3,076 1,482 1984 6,240 3,466 1985 11,776 6,878 1986 19,032 11,987 1987 28,564 16,162 1988 35,447 20,868 1989 42,674 27,591 1990 48,634 31,335 1991 59,660 36,560 1992 78,530 41,055 1993 78,834 44,730 1994 71,874 49,095 1995 68,505 49,456 1996 59,347 38,510 1997 47,149 20,736 1998 38,393 19,005 1999 25,174 18,454 2000 25,522 17,347 2001 25,643 17,402 2002 26,464 16,371 Total 802,118 489,093 Graph "year" versus "# AIDS cases diagnosed" (plot the scatter plot). Do not include pre-1981 data. Perform linear regression. Write the equations. (Round your answers to the nearest whole number. Round r to four decimal places.) (a) Linear Equation: 9 - (b) a = (c) b= (d) (e) n-
Please help with the corrected answers in details: The following time series shows the sales of a particular product over the past 12 months. Month Sales 1 105 2 135 3 120 4 105 5 90 6 120 7 145 8 140 9 100 10 80 11 100 12 110 What type of pattern exists in the data? The data appear to follow a trend pattern. The data appear to follow a horizontal pattern. The data appear to follow a cyclical pattern.The data appear to follow a seasonal pattern. (b) Use ? = 0.2 to compute the exponential smoothing values for the time series. (Round your answers to two decimal places.) Month t Time Series Value Yt Forecast Ft 1 105 2 135 3 120 4 105 5 90 6 120 7 145 8 140 9 100 10 80 11 100 12 110 (c) Use a smoothing constant of ? = 0.4 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.) Month t Time Series Value Yt Forecast Ft 1 105 2 135…
. Death 2010 The January 2012 National Vital StatisticsReport by the Centers for Disease Control and Preventionincluded information on deaths in the United States forthe year 2010. The 4 most common causes-heart disease,cancer, respiratory diseases, and stroke-accounted fornearly 60% of all deaths. What problems do you see withthe graph at the top of the next column?
The following table shows the median income, in thousands of dollars, of American families for 2003 through 2008. Year 2003 2004 Income (thousands of dollars) 52.68 54.06 2005 56.19 2006 58.41 2007 2008 61.36 61.52 (a) Plot the data. H H 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 H H. 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 (b) Use exponential regression to construct an exponential model for the income data. (Let t be years since 2003 and H be the median household income in thousand of dollars.) OH = 62.520 x 0.967 OH = 57.370 x 1.010 OH = 71.932 x 0.856 OH = 49.035 x 1.245 O H = 52.587 x 1.035 (c) What was the yearly percentage growth rate in median family income during this period? (Use the model found in part (b). Round your answer to one decimal place.)
U.S. Civilian Labor Force (thousands) Year Labor Force Year Labor Force 2007 153,918 2012 155,628 2008 154,655 2013 155,151 2009 153,111 2014 156,238 2010 153,650 2015 157,957 2011 153,995 2016 159,640 1. Fit three trend models: linear, exponential, and quadratic. Which model would offer the most believable forecasts? 2. Make forecasts using the following fitted trend models for years 2017-2019. t Exponential 11 12 13
The following graph shows the average grade point average for a particular college from 2004 until 2011. Average GPA 3.20 OA OC OD 3.15 3.10 3.05 3.00 2.95 2.90 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 Year Which one of the following statements is correct? A) Historically, the Average GPA of the college tends to decrease. B) There appears to be no relationship between Year and Average GPA. C) Year is the dependent variable in the graph. D) Average GPA is the dependent variable in the graph.
The number of adult Americans who smoke continues to drop. The table contains estimates of the percentages of adults (ages 1818 and over) who were smokers in the years between 1965 and 201715.and 201715. ???? ?Year � ??????? ?Smokers � 1965 41.94 1970 37.4 1974 37.1 1978 34.1 1980 33.2 1983 32.1 1985 30.1 1987 28.8 1990 25.5 1993 25.0 1995 24.7 1997 24.7 1999 23.5 2001 22.8 2002 22.5 2004 20.9 2006 20.8 2008 20.6 2010 19.3 2012 18.1 2014 16.8 2017 14.0 According to your regression line, how much did smoking decline per year during this period, on the average? Give your answer to three decimal places. average smoking decline: percentage points
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