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
icon
Related questions
Topic Video
Question

help on all questions 

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: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
(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
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
Expert Solution
steps

Step by step

Solved in 9 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,