document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672408>Question 672408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please i need help i am so confused. My teacher assigned me this today and it's due Monday.\r<BR>\n" );
document.write( "\n" );
document.write( "If i have data points: (2,1),  (4,3),  (5,5),  (7,6),  (3,18)<BR>\n" );
document.write( "1.    How can i find and graph a line of best fit that includes the data points?\r<BR>\n" );
document.write( "\n" );
document.write( "2.   How can i find and graph a line of best fit that does not include the data points ?\r<BR>\n" );
document.write( "\n" );
document.write( "3.   Which equation would better model the data and why ?\r<BR>\n" );
document.write( "\n" );
document.write( "Please please please i honestly don't understand what he means in these questions. Please  I'd appreciate the help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418016 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=418016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x|y<BR>\n" );
document.write( "2|1<BR>\n" );
document.write( "4|3<BR>\n" );
document.write( "5|5<BR>\n" );
document.write( "7|6<BR>\n" );
document.write( "3|18<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Line that include data points, chose (2,1) and (7,6) from visual quick plot of the points.<BR>\n" );
document.write( "slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-6%29%2F%282-7%29+=+-5%2F-5+=+1 ALIGN=MIDDLE  ALT=\"%281-6%29%2F%282-7%29+=+-5%2F-5+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y - 1 = 1(x-2)<BR>\n" );
document.write( "y = x - 2 + 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y+=+x-1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y+=+x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Line that does not include the data points<BR>\n" );
document.write( "Using the \"least square method\" for best fit line<BR>\n" );
document.write( "Find xy and x^2<BR>\n" );
document.write( "x|y|xy|x^2<BR>\n" );
document.write( "2|1|2|4<BR>\n" );
document.write( "4|3|12|16<BR>\n" );
document.write( "5|5|25|25<BR>\n" );
document.write( "7|6|42|49<BR>\n" );
document.write( "3|18|54|9<BR>\n" );
document.write( "..........<BR>\n" );
document.write( "21|33|135|103  ==> Sums of each column<BR>\n" );
document.write( "...<BR>\n" );
document.write( "slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28135-%28%2821%2A33%29%2F5%29%29%2F%28103-%2821%5E2%2F5%29%29 ALIGN=MIDDLE  ALT=\"%28135-%28%2821%2A33%29%2F5%29%29%2F%28103-%2821%5E2%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28135-%28693%2F5%29%29%2F%28103-%28441%2F5%29%29%29 ALIGN=MIDDLE  ALT=\"%28135-%28693%2F5%29%29%2F%28103-%28441%2F5%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3.6+%2F+14.8+=+-.243 ALIGN=MIDDLE  ALT=\"-3.6+%2F+14.8+=+-.243\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "y-intercept<BR>\n" );
document.write( "6.6 - 4.2(-.243) = 7.62<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Best fit line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+-.243x+%2B+7.62%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+-.243x+%2B+7.62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "For an explanation of the forumula<BR>\n" );
document.write( "http://hotmath.com/hotmath_help/topics/line-of-best-fit.html<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The first equation is a better model, as there are only two outliers from the line, one more extreme than the other.  This line thereby captures on it three of the 5 data points.  The second line, while a true \"best fit line\" captures none of the data points and represents too wide of a variance resulting from one extreme outlier.  Not to mention the negative slope, whereas, the data represents a positive slope trend, not a negative one.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-.243x%2B7.62%2Cx-1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-.243x%2B7.62%2Cx-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( ".....................<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
document.write( "-Reading Boosters<BR>\n" );
document.write( "Email: HomeworkHelpers@ReadingBoosters.com	<BR>\n" );
document.write( "Wanting for others what we want for ourselves.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );