The following table shows the average life expectancy, in years, of a child born in the given year.t Life expectancy 77.6 Year 2005 2007 78.1 2009 78.5 2011 2013 78.7 78.8 (a) Find the equation of the regression line. (Let E be the life expectancy in years and t the number of years since 2005. Round regression line parameters to two decimal places.) E(t) = -223.0 +0.15t
The following table shows the average life expectancy, in years, of a child born in the given year.t Life expectancy 77.6 Year 2005 2007 78.1 2009 78.5 2011 2013 78.7 78.8 (a) Find the equation of the regression line. (Let E be the life expectancy in years and t the number of years since 2005. Round regression line parameters to two decimal places.) E(t) = -223.0 +0.15t
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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Transcribed Image Text:The following table shows the average life expectancy, in years, of a child born in the given year.t
Year
Life expectancy
2005
2007
77.6
78.1
78.5
2009
2011
2013
78.7
78.8
(a) Find the equation of the regression line. (Let E be the life expectancy in years and t the number of years since 2005. Round regression line parameters to two decimal places.)
E(t) = -223.0 + 0.15t

Transcribed Image Text:(b) Plot the data points and the regression line.
E
E
79
79
78
78
77
E
E
79
79
78
78
77
77
(c) Explain in practical terms the meaning of the slope of the regression line. (Round your answer to two decimal places.)
For each increase of 1 in the year of birth the life expectancy increases by
year.
d) Based on the trend of the regression line, what do you predict as the life expectancy of a child bom in 2019? (Round your answer to one decimal place.)
yr
Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1560? (Round your answer to one decimal place.)
yr
What do you predict as the life expectancy of a child born in 2400? (Round your answer to one decimal places.)
vr
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