A linear model for the data is B(t) = 26.9t + 689, 2 < t < 13, where t represents the year, with t = 2 corresponding to 2002. (1) What re the slope and y-intercept of the model? Interpret their meaning in the context of the problem. (2) Use the model to approximte the number of bachelor's degrees earned by women for year 2011. Compare the estimates to the actual data. Is the model a good fit for the data?

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The table shows the numbers B (in thousands) of bachelor's degrees earned by
women in the United States from 2002 through 2013 (Source: National Center for Education Statistics).
Bachelor's degrees, B
DATA Year
2002
2003
742
776
2004
804
2005
2006
2007
826
855
875
2008
895
2009
916
943
2010
2011
982
1026
2012
2013
1053
A linear model for the data is B(t) = 26.9t + 689, 2 < t < 13, where t represents the year, witht = 2
corresponding to 2002.
(1) What re the slope and y-intercept of the model? Interpret their meaning in the context of the
problem.
(2) Use the model to approximte the number of bachelor's degrees earned by women for year 2011.
Compare the estimates to the actual data. Is the model a good fit for the data?
Spreadsheet at LanonPrecalculus.com
Transcribed Image Text:The table shows the numbers B (in thousands) of bachelor's degrees earned by women in the United States from 2002 through 2013 (Source: National Center for Education Statistics). Bachelor's degrees, B DATA Year 2002 2003 742 776 2004 804 2005 2006 2007 826 855 875 2008 895 2009 916 943 2010 2011 982 1026 2012 2013 1053 A linear model for the data is B(t) = 26.9t + 689, 2 < t < 13, where t represents the year, witht = 2 corresponding to 2002. (1) What re the slope and y-intercept of the model? Interpret their meaning in the context of the problem. (2) Use the model to approximte the number of bachelor's degrees earned by women for year 2011. Compare the estimates to the actual data. Is the model a good fit for the data? Spreadsheet at LanonPrecalculus.com
Expert Solution
Step 1

   Definition used-

     Equation of a line -

                            y = mx+b

                     Here m = slope of the line 

                     b = y intercept 

 

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