document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887068>Question 887068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the linear regression equation for the set of values.  Round the slope and y-intercept to the nearest hundredth.  {(5,-3.4), (10,-0.5), (15,2.1), (20,5)}\r<BR>\n" );
document.write( "\n" );
document.write( "Please show the work so I can see how the problem was worked out.  Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536347 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=536347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> regression equation is y = mx +b where m is slope and b is y intercept<BR>\n" );
document.write( "m = (N&#931;XY - (&#931;X)(&#931;Y)) / (N&#931;X^2 - (&#931;X)^2)<BR>\n" );
document.write( "b =  (&#931;Y - m(&#931;X)) / N <BR>\n" );
document.write( "where N is number of paired values<BR>\n" );
document.write( "(X, Y) are the individual points<BR>\n" );
document.write( "&#931; = summation<BR>\n" );
document.write( "m = (4*109.5 -(50*3.2)) / (4*750 - 50^2) = 0.556 = 0.56<BR>\n" );
document.write( "b = (3.2 - 0.56*50) / 4<BR>\n" );
document.write( "b = -6.2<BR>\n" );
document.write( "therefore our formula for the linear regression equation is<BR>\n" );
document.write( "y = 0.56x -6.2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );