document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=657288>Question 657288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Construct a scatterplot for the (x,Y) values below, and answer the following questions. However, you DO NOT need to submit your scatterplot with your answer; however, SHOW all YOUR WORK.<BR>\n" );
document.write( "X.....Y<BR>\n" );
document.write( "1 ... 1.25<BR>\n" );
document.write( "2 ... 2.5<BR>\n" );
document.write( "3 ... 3.75<BR>\n" );
document.write( "4 ... 5.0<BR>\n" );
document.write( "5 ... 6.25\r<BR>\n" );
document.write( "\n" );
document.write( "a) What would be the SLOPE of this regression line?<BR>\n" );
document.write( "b) Would the correlation between x and y be positive or negative?<BR>\n" );
document.write( "c) How would you interpret these data in terms of linear regression? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409804 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=409804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X.....Y<BR>\n" );
document.write( "1 ... 1.25<BR>\n" );
document.write( "2 ... 2.5<BR>\n" );
document.write( "3 ... 3.75<BR>\n" );
document.write( "4 ... 5.0<BR>\n" );
document.write( "5 ... 6.25 <BR>\n" );
document.write( "a) What would be the SLOPE of this regression line?<BR>\n" );
document.write( "The slope is the change in y when x changes by 1.<BR>\n" );
document.write( "Notice that the y-change is 1.25 when x changes by 1.<BR>\n" );
document.write( "slope = 1.25<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "b) Would the correlation between x and y be positive or negative?<BR>\n" );
document.write( "Since y increases when x increases the correlation is positive.<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "c) How would you interpret these data in terms of linear regression?<BR>\n" );
document.write( "y = 1.25x<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );