document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196806>Question 196806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can  you have a negative correlation coefficient  for a positive variable in an index.<BR>\n" );
document.write( "That is:Can a data set produce a negative correlation with variable x in a index  (x * y * x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147548 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=147548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you have a negative correlation coefficient for a positive variable in an index.<BR>\n" );
document.write( "That is:Can a data set produce a negative correlation with variable x in a index (x * y * x)?<BR>\n" );
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document.write( "If by \"correlation coefficient\" you mean \"r\", which is the <BR>\n" );
document.write( "measure of linear correlation, the value of \"r\" can vary<BR>\n" );
document.write( "from -1 to +1.  Positive values of \"r\" indicate that y increases<BR>\n" );
document.write( "as x increases.  Negative values of \"r\" indicate tha y decreases<BR>\n" );
document.write( "as x increases.<BR>\n" );
document.write( "I am not sure what you mean by \"a positive variable in an index\".\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );