document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=505145>Question 505145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Arrange the following two sets of scores into 5 pairs of numbers (i.e. one<BR>\n" );
document.write( "each from sets A and B) that show a perfect negative linear relationship (i.e. r = -1) and do the calculation for r demonstrating this.\r<BR>\n" );
document.write( "\n" );
document.write( "Set A : 19, 11, 13, 25, 7<BR>\n" );
document.write( "Set B : 48, 30, 42, 36, 44 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339820 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=339820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Arrange the following two sets of scores into 5 pairs of numbers (i.e. one<BR>\n" );
document.write( "each from sets A and B) that show a perfect negative linear relationship (i.e. r = -1) and do the calculation for r demonstrating this. <BR>\n" );
document.write( "Set A : 19, 11, 13, 25, 7<BR>\n" );
document.write( "Set B : 48, 30, 42, 36, 44<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The smallest \"A\" number would have to be paired with<BR>\n" );
document.write( "the largest \"B\" number: (7/48)<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Then next smallest with next to largest <BR>\n" );
document.write( "(11,44)<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "(13,42)<BR>\n" );
document.write( "(19,36)<BR>\n" );
document.write( "(25,30)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Notice that the B numbers decrease 1 when the A numbers increase by 1.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Now you can calculate \"r\":<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "r = [summation[(x-xbar)(y-ybar)]/[(n-1)sxsy]<BR>\n" );
document.write( "or <BR>\n" );
document.write( "r = [(sumx)(sumy)]/sqrt[(sumx^2)*sqrt[n(sumy^2)-(sumy)^2]]<BR>\n" );
document.write( "r = -1 (Got this using TI-84)<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );