document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117448>Question 117448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> http://i147.photobucket.com/albums/r317/fizzero/graph.jpg\r<BR>\n" );
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document.write( "^that is the link to the graph.\r<BR>\n" );
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document.write( "what is the slope and verticle intercept for the line?<BR>\n" );
document.write( "m=? and y-intercept=\r<BR>\n" );
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document.write( "what is the equation of the line?\r<BR>\n" );
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document.write( "using the least square method what is the correlation coefficient?\r<BR>\n" );
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document.write( "r=  ?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85457 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From your graph, you have 9 (x,y) data pairs.<BR>\n" );
document.write( "First, make a table with the x,y data points. <BR>\n" );
document.write( "Add 5 columns to your table. <BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bi%5D ALIGN=MIDDLE  ALT=\"x%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bi%5D ALIGN=MIDDLE  ALT=\"y%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5Bi%5D-x%5Ba%5D%29 ALIGN=MIDDLE  ALT=\"%28x%5Bi%5D-x%5Ba%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5Bi%5D-y%5Ba%5D%29 ALIGN=MIDDLE  ALT=\"%28y%5Bi%5D-y%5Ba%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5Bi%5D-x%5Ba%5D%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%5Bi%5D-x%5Ba%5D%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5Bi%5D-y%5Ba%5D%29%5E2 ALIGN=MIDDLE  ALT=\"%28y%5Bi%5D-y%5Ba%5D%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5Bi%5D-x%5Ba%5D%29%28y%5Bi%5D-y%5Ba%5D%29 ALIGN=MIDDLE  ALT=\"%28x%5Bi%5D-x%5Ba%5D%29%28y%5Bi%5D-y%5Ba%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Ba%5D ALIGN=MIDDLE  ALT=\"x%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the average of the x values and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Ba%5D ALIGN=MIDDLE  ALT=\"y%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the vaverage of the y values.<BR>\n" );
document.write( "Calculate the values for i=1 to 9.<BR>\n" );
document.write( "Sum columns 5,6,7.<BR>\n" );
document.write( "You are solving for the regression equation <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=b%5B1%5Dx%2Bb%5B0%5D ALIGN=MIDDLE  ALT=\"y=b%5B1%5Dx%2Bb%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=sum%28%28x%5Bi%5D-x%5Ba%5D%29%28y%5Bi%5D-y%5Ba%5D%29%29%2Fsum%28%28x%5Bi%5D-x%5Ba%5D%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=%28Sum_of_column_7%29%2F%28Sum_of_column_5%29 ALIGN=MIDDLE  ALT=\"b%5B1%5D=%28Sum_of_column_7%29%2F%28Sum_of_column_5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B0%5D=y%5Ba%5D-b%5B1%5D%2Ax%5Ba%5D ALIGN=MIDDLE  ALT=\"b%5B0%5D=y%5Ba%5D-b%5B1%5D%2Ax%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From this we see that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D ALIGN=MIDDLE  ALT=\"b%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope of the regression line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B0%5D ALIGN=MIDDLE  ALT=\"b%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the y-intercept of the regression line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=b%5B1%5Dx%2Bb%5B0%5D ALIGN=MIDDLE  ALT=\"y=b%5B1%5Dx%2Bb%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the equation of the regression line.<BR>\n" );
document.write( "To calculate the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you need to calculate two more quanitities, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%5Bx%5D ALIGN=MIDDLE  ALT=\"sigma%5Bx%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%5By%5D ALIGN=MIDDLE  ALT=\"sigma%5By%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%5Bx%5D=sqrt%28sum%28%28x%5Bi%5D-x%5Ba%5D%29%5E2%29%2FN%29 ALIGN=MIDDLE  ALT=\"sigma%5Bx%5D=sqrt%28sum%28%28x%5Bi%5D-x%5Ba%5D%29%5E2%29%2FN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%5Bx%5D=sqrt%28Sum_of_column_5%2FN%29 ALIGN=MIDDLE  ALT=\"sigma%5Bx%5D=sqrt%28Sum_of_column_5%2FN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%5By%5D=sqrt%28sum%28%28y%5Bi%5D-y%5Ba%5D%29%5E2%29%2FN%29 ALIGN=MIDDLE  ALT=\"sigma%5By%5D=sqrt%28sum%28%28y%5Bi%5D-y%5Ba%5D%29%5E2%29%2FN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%5By%5D=sqrt%28Sum_of_column_6%2FN%29 ALIGN=MIDDLE  ALT=\"sigma%5By%5D=sqrt%28Sum_of_column_6%2FN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and <BR>\n" );
document.write( "N is the number of data points, 9.\r<BR>\n" );
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document.write( "The coefficient, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is then calculated from<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=%28%281%2FN%29%2Asum%28%28x%5Bi%5D-x%5Ba%5D%29%28y%5Bi%5D-y%5Ba%5D%29%29%2F%28sigma%5Bx%5Dsigma%5By%5D%29%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=%28%281%2FN%29%2ASum_of_column_7%2F%28sigma%5Bx%5Dsigma%5By%5D%29%29%5E2 ALIGN=MIDDLE  ALT=\"r%5E2=%28%281%2FN%29%2ASum_of_column_7%2F%28sigma%5Bx%5Dsigma%5By%5D%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "EXCEL is the perfect program to do this kind of work. <BR>\n" );
document.write( "Good luck. <BR>\n" );
document.write( "Post another question if you get stuck.  </SPAN>\n" );
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