Concept explainers
Comparing Models The total numbers y of AIDS cases by year of diagnosis in Canada for the years 2005 through2014 are shown in the table, with
x |
5 |
6 |
7 |
8 |
9 |
y |
434 |
398 |
371 |
367 |
296 |
x |
10 |
11 |
12 |
13 |
14 |
y |
276 |
234 |
223 |
226 |
188 |
(a) Use the regression capabilities of a graphing utility to find the following models for the data.
(b) Use a graphing utility to plot the data and graph each of the models. Which model do you think best fits the data?
(c) Find the rate of change of each of the models in part (a) for the year 2012. Which model is decreasing at the greatest rate in 2012?
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Calculus (MindTap Course List)
- XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?arrow_forwardLife Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300arrow_forwardDraw a scatter plot for the data in Table 2. Then determine whether the data appears to belinearly related.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning