document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201281>Question 1201281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is the number of games won by a major league baseball team in a season related to the team batting average? <BR>\n" );
document.write( "The table below shows the number of games won and the batting average (in thousandths) of 8 teams.\r<BR>\n" );
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document.write( "Team	Games Won  Batting Average<BR>\n" );
document.write( "1	108	267<BR>\n" );
document.write( "2	99	271<BR>\n" );
document.write( "3	95	259<BR>\n" );
document.write( "4	61	288<BR>\n" );
document.write( "5	72	272<BR>\n" );
document.write( "6	61	283<BR>\n" );
document.write( "7	85	268<BR>\n" );
document.write( "8	113	276\r<BR>\n" );
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document.write( "Using games won as the explanatory variable 𝑥, do the following:<BR>\n" );
document.write( "(a) The correlation coefficient is 𝑟= <BR>\n" );
document.write( " .\r<BR>\n" );
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document.write( "(b) The regression equation is 𝑦̂ = <BR>\n" );
document.write( " . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835594 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the regression equation is Y = -0.2784*X + 297.2<BR>\n" );
document.write( "r = -.6148 = correlation coefficient<BR>\n" );
document.write( "r^2 = .3779 <BR>\n" );
document.write( "the slope is downwards.<BR>\n" );
document.write( "x is the number of games won<BR>\n" );
document.write( "y is the team batting average<BR>\n" );
document.write( "what this suggest is that the team batting average goes down as the number of games won goes up.<BR>\n" );
document.write( "r^2 is a measure of how well the regression line approximates the actual data.<BR>\n" );
document.write( "an r^2 of .3779 indicates that the correlaation is not very strong.<BR>\n" );
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