4. The table shows a company's yearly profit beginning in the year 2004.810Time Since 20044.(years)Profit11.710.259.17.012.311.9(hundred thousands of dollars)2016.Use a quadratic regression to predict the company's profits in theyeara.469000b. 705000C.700000d. 6740005. Kathy painted a picture and posted it on a social media site. The table shows the number ofpeople who responded that they liked the picture since Kathy posted it.Time Since Picture Was Posted(days)1.3.7.6.Number of Likes1138Write the regression equation that best models the data.215,0006.0000000

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Answered: Use a quadratic regression to predict…

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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4 The data collected by a biologist showing the growth of a colony of bacteria at the end of cach hour are displayed in the table below. Time bour, Population () 250 330 580 800 1650 3000 3. Write an exponential regression equation to model these data. Round all values to the nearest thousandth. Assuming this trend continues, use this equation to estimate, to the nearest fen, the number of bacteria in the colony at the end of 7 hours.
Month Sales Forecast January 1000 1043 February 3000 March 5000 April 4000 May 5000 June 6000 Compute the forecast for the month of July using simple exponential smoothing. Take alpha = 0.2
(d) If the life expectancy is increased by 3.5 years in a certain country, how much will the happiness index change? Round to two decimal places. (e) Use the regression line to predict the happiness index of a country with a life expectancy of 84 years. Round to two decimal places.
Use the data shown in the graph to write a quadratic regression equation. Then predict the box office revenue in 2013. Let x represent the number of years since 2000. Millions of dollars 32- 189 31+ 30- Box office revenue 28.9 29.4 28.7 30.8 29- 28- 27- 2004 2005 2006 2007 2008 2009 Year
Table 3 gives the market value of a luxury sedan (in dollars) xyears after its purchase. Find an exponential regression model of the form y= ab* for this data set. Estimate the purchase price of the sedan. Estimate the value of the sedan 10 years after its purchase. Round answers to the nearest dollar. TABLE 3 Value ($) 1 23,125 19,050 3 15,625 11,875 5 9,450 6 7,125 2.
A graphing calculator is recommended.A dealer predicts that new cars will sell at the rate of 5xe−0.2x sales per week in week x. Find the total sales in the first half year (week 0 to week 26). (Round your answer to the nearest whole number.)
China had a population in 2008 of about 1.14 billion people. The populaton is growing by about 1.34% each year. If this trend continues, when will China's population reach 1.2 billion.
Nitrogen dioxide, NO₂, is an air pollutant resulting from burning fossil fuels in cars and power plants. The following table shows the decrease in the national average of the concentration in parts per billion (ppb) of NO₂ for selected years. Year 2014 40.8107 2015 2016 2017 2018 39.7886 38.7972 37.8209 36.8752 NO₂ (ppb) Use exponential regression to find an exponential decay function for the concentration, C, of NO₂ t years after 2014. Round constants to the nearest ten-thousandth. c-40.8114 (0.9750) Use the model to predict the concentration of NO₂ (in ppb) in 2045. Round to the nearest whole number. 21 x ppb
. Fill in the "Years since 1970" column for the data to the right. Make a scatter plot in Excel of the data using Years since 1970 and Total Waste in Millions of Tons (Title your graph and label your axes appropriately). How would you best describe the trend? Add an exponential regression model to the data. Write the equation below. Is it a good fit? Explain how you know. Based on the exponential model, what is the growth rate per year? Explain the meaning of the growth rate in the context of the data. Using the exponential model, make a prediction of how much plastic will be in landfills (and the ocean gyres) by Year Years since 1970 Total Waste in Millions of Tons 1970 0 249 1980 10 798 1985 15 1200 1990 20 1740 1995 25 2440 2000 30 3390 2005 35 4600 2010 40 6060 2015 45 7820 Do you think recycling alone will solve this problem (See Q11 and Q12)? What are some of the challenges in recycling plastic that might hinder the world from recycling all plastic…

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Use a quadratic regression to predict the company's profits in the year 2016. a. 469000 b. 705000 C. 700000 d. 674000