document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122467>Question 1122467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question is along the lines of determining whether a data set is linear, quadratic, or exponential.<BR>\n" );
document.write( "The data set is this: (the depreciation of a used car over time)<BR>\n" );
document.write( "X = Years<BR>\n" );
document.write( "Y = Value in dollars<BR>\n" );
document.write( "(0, 12,575)<BR>\n" );
document.write( "(1, 11,065)<BR>\n" );
document.write( "(2, 9,750)<BR>\n" );
document.write( "(3, 8,520)<BR>\n" );
document.write( "(4, 7,540)<BR>\n" );
document.write( "To me, this data set does not seem to linear, quadratic, or exponential, however my textbook does not say anything about a 'neither' or 'none' option. My only guess is it might be exponential? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738595 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Putting the data into a graphing calculator and running a regression analysis gives a Coefficient of Determination for a Linear curve of best fit of 0.9941 which is pretty good, but both the 2nd-degree polynomial fit and the exponential fit is 0.9999.   The difference is that the quadratic reaches a minimum somewhere out around year 9 or 10 whereas the exponential continues to decrease, i.e. it is asymptotic to the x-axis.\r<BR>\n" );
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document.write( "So what you have to decide is whether you have a classic used car that at some point will start to appreciate in value, or do you have the standard piece of junk that will someday be nearly worthless.  Your call, but you can argue either answer.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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