The following table shows the average life expectancy, in years, of a child born in the US in the given year. t(years since 2000) Life expectancy (in years) 76.6 2. 76.9 4. 77.5 6. 77.7 78.0 10 78.5 12 78.7 14 78.8 a) Use Desmos.com to find the equation of the regression line (round to 3 decimal places). b) Explain in practical terms the meaning of the slope of the regression line. How the age of the children is changing per year How life expectance changes with age OHow much life expectancy changes per year of the person's date of birth How quickly time is going by ) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2020, to the nearest one decimal place.

The following table shows the average life expectancy, in years, of a child born in the US in the given year. t(years since 2000) Life expectancy (in years) 76.6 2. 76.9 4. 77.5 6. 77.7 78.0 10 78.5 12 78.7 14 78.8 a) Use Desmos.com to find the equation of the regression line (round to 3 decimal places). b) Explain in practical terms the meaning of the slope of the regression line. How the age of the children is changing per year How life expectance changes with age OHow much life expectancy changes per year of the person's date of birth How quickly time is going by ) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2020, to the nearest one decimal place.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...

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Life 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?2300
A Dubious Model of Oil Prices The following table shows the prices of oil in U.S. dollars per barrel, t years since 1990, One analysis involving additional data used a cubic equation to model this data. t Years since 1990 0 2 5 7 10 12 15 17 20 21 P Price, dollars per barrel 18.91 16.22 16.63 18.20 27.04 23.47 49.63 69.04 77.46 106.92 a. Use cubic regression to model these data. Round the regression parameters to four decimal places. b. Plot the data along with the cubic model. c. In the analysis mentioned above, the graph is expanded through 2020. Expand the viewing window to show the model from 1990 to 2020. d. What estimate does the model give for oil prices in 2015? e. The actual price of oil in December of 2015 was about 35 per barrel. What basic principle in the use of models would be violated in relying on the estimate in part d?
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