Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The table below shows enrollment,t in millions of people, in private colleges in the United States during the years from 2004 through 2008.
Date Enrollment in millions
2004
4.29
2005
2006
4.47
4.58
4.76
2007
2008
5.13
(a) Find the equation of the regression line model for college enrollment as a function of time. (Let t be the number of years since 2004 and E the enrollment in private colleges, in millions. Round regression line parameters to two decimal places.)
E(t)
Add the graph of the regression line to the data plot.
3
2
4
1
2
4
3
4
(b) Explain the meaning of the slope of the line you found in part (a).
The slope of the regression line is|
and this means that every year the enrollment in American private colleges increased by about
million.
(c) Express, using functional notation, the enrollment in American private colleges in 2015.
E
Estimate that value. (Round your answer to two decimal places.)
million
(d) Express, using functional notation, the enrollment in American private colleges in 2013.
E(
Estimate that value. (Round your answer to two decimal places.)
million
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Transcribed Image Text:The table below shows enrollment,t in millions of people, in private colleges in the United States during the years from 2004 through 2008. Date Enrollment in millions 2004 4.29 2005 2006 4.47 4.58 4.76 2007 2008 5.13 (a) Find the equation of the regression line model for college enrollment as a function of time. (Let t be the number of years since 2004 and E the enrollment in private colleges, in millions. Round regression line parameters to two decimal places.) E(t) Add the graph of the regression line to the data plot. 3 2 4 1 2 4 3 4 (b) Explain the meaning of the slope of the line you found in part (a). The slope of the regression line is| and this means that every year the enrollment in American private colleges increased by about million. (c) Express, using functional notation, the enrollment in American private colleges in 2015. E Estimate that value. (Round your answer to two decimal places.) million (d) Express, using functional notation, the enrollment in American private colleges in 2013. E( Estimate that value. (Round your answer to two decimal places.) million
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