document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=590332>Question 590332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help please!!\r<BR>\n" );
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document.write( "Find the equation of the line of best fit from the data in the table. Round the slope and the y-intercept to the nearest hundredth.\r<BR>\n" );
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document.write( "x 12 14 16 18 20<BR>\n" );
document.write( "________________ <BR>\n" );
document.write( "y 54 53 55 54 56 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375148 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=375148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you can try to find the line manually or you can use a calculator, like the TI-83 or TI-84 or even the TI-30X-IIS<BR>\n" );
document.write( "I used the TI-30X-IIS for this problem.<BR>\n" );
document.write( "The calculator told me that the  equation for the best fit of this data is:<BR>\n" );
document.write( "y = .25x + 50.4<BR>\n" );
document.write( "the correlation factor is .693375245 which is a pretty good positive fit.<BR>\n" );
document.write( "correlation factor of 1 would be a perfect positive fit.<BR>\n" );
document.write( "correlation factor of -1 would be a perfect negative fit.<BR>\n" );
document.write( "correlation factor of 0 would be the worst fit (neither negative or positive correlation can be derived).<BR>\n" );
document.write( "a table of your data and the derived data from the calculator generated best fit equation is shown below:<BR>\n" );
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document.write( "x         y         calculator best fit y      manual best fit y\r\n" );
document.write( "12       54                 53.4                      \r\n" );
document.write( "14       53                 53.9                 \r\n" );
document.write( "16       55                 54.4                 \r\n" );
document.write( "18       54                 54.9                 \r\n" );
document.write( "20       56                 55.4                 \r\n" );
document.write( "</PRE><BR>\n" );
document.write( "a picture of your data points and a straight line best fit that i did using the eyeball method gave a pretty close approximation of what the calculator did for me.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/mar221.jpg\" alt = \"$$$$\" />\r<BR>\n" );
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document.write( "you can also manually calculate the best fit linear equation using the method in the following link.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.statisticshowto.com/articles/how-to-find-a-linear-regression-equation/\" target = \"_blank\">http://www.statisticshowto.com/articles/how-to-find-a-linear-regression-equation/</a><BR>\n" );
document.write( "that, however, is doing it the hard way and definitely not recommended unless you absolutely are required to do so.<BR>\n" );
document.write( "calculators are so much easier.<BR>\n" );
document.write( "it's a good learning tool, however, for you to appreciate how the calculator does it </SPAN>\n" );
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