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2. The total cost of a federal government program in millions of dollars is shown in uue table below. (Notice that the year 2010 data is missing.) 2005 2006 2007 2008 2009 2011 2012 2013 2014 2015 2016 886 956 1159 1267 1367 1436 1505 1562 year $ in mil. 731 782 833 (b) Determine and plot a clamped cubic spline for the data (using the appropriate slopes at 2005 and 2016). Use it to estimate the 2010 cost and compare to the actual value of $1,049 (in mil.)

2. The total cost of a federal government program in millions of dollars is shown in uue table below. (Notice that the year 2010 data is missing.) 2005 2006 2007 2008 2009 2011 2012 2013 2014 2015 2016 886 956 1159 1267 1367 1436 1505 1562 year $ in mil. 731 782 833 (b) Determine and plot a clamped cubic spline for the data (using the appropriate slopes at 2005 and 2016). Use it to estimate the 2010 cost and compare to the actual value of $1,049 (in mil.)

Advanced Engineering Mathematics
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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2. . in usie table below. (Notice that the year 2010 data is missing.) The total cost of a federal government program in millions of dollars is shown year 2005 2006 2007 2008 2009 2011 2012 2013 2014 2015 2016 $ in mil. 731 782 833 886 956 1159 1267 1367 1436 1505 1562 (b) Determine and plot a clamped cubic spline for the data (using the appropriate slopes at 2005 and 2016). Use it to estimate the 2010 cost and compare to the actual value of $1,049 (in mil.) 1 (c) Perform a least-squares analysis and estimate the 2010 cost and compare to the actual value of $1,049 (in mil). (Choose an appropriate least squares linear or polynomial model.)
Transcribed Image Text:2. . in usie table below. (Notice that the year 2010 data is missing.) The total cost of a federal government program in millions of dollars is shown year 2005 2006 2007 2008 2009 2011 2012 2013 2014 2015 2016 $ in mil. 731 782 833 886 956 1159 1267 1367 1436 1505 1562 (b) Determine and plot a clamped cubic spline for the data (using the appropriate slopes at 2005 and 2016). Use it to estimate the 2010 cost and compare to the actual value of $1,049 (in mil.) 1 (c) Perform a least-squares analysis and estimate the 2010 cost and compare to the actual value of $1,049 (in mil). (Choose an appropriate least squares linear or polynomial model.)
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