document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204606>Question 1204606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x	1	2	3	4	5	6<BR>\n" );
document.write( "y	914	1186	1380	1653	1940	2347\r<BR>\n" );
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document.write( "Use regression to find an exponential equation that best fits the data above. The equation has form  <BR>\n" );
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document.write( "  where:\r<BR>\n" );
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document.write( "a = \r<BR>\n" );
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document.write( "b = \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840963 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i used the curve fit calculator at <a  rel=nofollow HREF= \"https://stats.blue/Stats_Suite/exponential_regression_calculator.html\" target = \"_blank\">https://stats.blue/Stats_Suite/exponential_regression_calculator.html</a>\r<BR>\n" );
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document.write( "here's what the results looked like.\r<BR>\n" );
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document.write( "regression equation is y = 791.6107 * 1.1997^x\r<BR>\n" );
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document.write( "r = .997<BR>\n" );
document.write( "r^2 = .9941\r<BR>\n" );
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document.write( "here's a pretty decent reference on the meaning of r and r^2.<BR>\n" );
document.write( "it applies to a linear model, but means the same in any type of curve fitting model, as far as i know.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.statology.org/r-vs-r-squared/\" target = \"_blanak\">https://www.statology.org/r-vs-r-squared/</a>\r<BR>\n" );
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document.write( "since r^2 is the square of r, it stands to reason that a strong correlation leads to a high percentage of variation explained by the data.<BR>\n" );
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