document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032344>Question 1032344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the equation of the regression line between two variables x and y is given by the equation (y-hat) = 2 - 3.1x for values of x between 1 and 10, and the correlation coefficient r = -0.92 consider the following statements and identify which are true.\r<BR>\n" );
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document.write( "I) 92% of the variation in y is explained by the x variable<BR>\n" );
document.write( "II) Indications are there is a strong negative correlation between y and x <BR>\n" );
document.write( "III) Indications are there is a strong positive correlation between y and x <BR>\n" );
document.write( "IV) If x = 5, one would estimate y = -13.5\r<BR>\n" );
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document.write( "A. Only I and IV are true<BR>\n" );
document.write( "B. Only I, II, and IV are true<BR>\n" );
document.write( "C. Only I, III and IV are true<BR>\n" );
document.write( "D. Only II and IV are true<BR>\n" );
document.write( "E. Only III and IV are true </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647011 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> B is incorrect.  The correct answer is D.\r<BR>\n" );
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document.write( "The level of variation in the values of the dependent variable (here it is y) explained by independent variable (here it is x) is given by the coefficient of determination <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;\" >, which in this case is NOT 92%, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-0.92%29%5E2+=+0.8464 ALIGN=MIDDLE  ALT=\"%28-0.92%29%5E2+=+0.8464\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 84.64%.\r<BR>\n" );
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