The number of Facebook users for each year from 2004 to 2016 can be found in the table below.Round all values to three decimal places. Year 2004 2005 || 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 2014 | 2015 | 2016 Users 1 in millions 1056 1230 1440 | 1710 || 2000 6 12 58 145 360 608 845 Using years since 2000, do both exponential and logistic regression and be sure to graph them and compare them to the scatterplot of the data. What model is the best fit to the data? O exponential O logistic What is the equation of the best fit model? Based on this model, what will be the number of Facebook users in the year 2025? Is that value reasonable or not? Explain why. O Yes, the answer is reasonable. O No, the answer is not reasonable.

The number of Facebook users for each year from 2004 to 2016 can be found in the table below.Round all values to three decimal places. Year 2004 2005 || 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 2014 | 2015 | 2016 Users 1 in millions 1056 1230 1440 | 1710 || 2000 6 12 58 145 360 608 845 Using years since 2000, do both exponential and logistic regression and be sure to graph them and compare them to the scatterplot of the data. What model is the best fit to the data? O exponential O logistic What is the equation of the best fit model? Based on this model, what will be the number of Facebook users in the year 2025? Is that value reasonable or not? Explain why. O Yes, the answer is reasonable. O No, the answer is not reasonable.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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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?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time moved on. Table 4 shows the number of games sold, in thousands, from the years 20002010. a. Let x represent time in years starting with x=1 for the year 2000. Let y represent the number of games sold in thousands. Use logarithmic regression to fit a model to these data. b. If games continue to sell at this rate, how many games will sell in 2015? Round to the nearest thousand.
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?
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