document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=667647>Question 667647</A>: <I><SPAN STYLE=\"word-break: break-all;\">  For the table that follows, answer the following questions: <BR>\n" );
document.write( "x<BR>\n" );
document.write( " y<BR>\n" );
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document.write( "1<BR>\n" );
document.write( " -1/2<BR>\n" );
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document.write( "2<BR>\n" );
document.write( " -1<BR>\n" );
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document.write( "3<BR>\n" );
document.write( " -3/2<BR>\n" );
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document.write( "4<BR>\n" );
document.write( "  <BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( "-  Would the correlation between x and y in the table above be positive or negative?<BR>\n" );
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document.write( "-  Find the missing value of y in the table.<BR>\n" );
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document.write( "-  How would the values of this table be interpreted in terms of linear regression?<BR>\n" );
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document.write( "-  If a \"line of best fit\" is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415124 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x|y<BR>\n" );
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document.write( "1|-1/2<BR>\n" );
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document.write( "2|-1<BR>\n" );
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document.write( "3|-3/2<BR>\n" );
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document.write( "4|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-2%29 ALIGN=MIDDLE  ALT=\"highlight%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2=m%2A1%2Bb ALIGN=MIDDLE  ALT=\"-1%2F2=m%2A1%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=m%2A2%2Bb ALIGN=MIDDLE  ALT=\"-1=m%2A2%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........2<BR>\n" );
document.write( "_______________________subtract 1 from 2<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1-%28-1%2F2%29=2m-m%2Bb-b ALIGN=MIDDLE  ALT=\"-1-%28-1%2F2%29=2m-m%2Bb-b\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2B1%2F2=m ALIGN=MIDDLE  ALT=\"-1%2B1%2F2=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2=m ALIGN=MIDDLE  ALT=\"-1%2F2=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........the slope- negative\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2Bb ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........now we can find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=-%281%2F2%29%2A2%2Bb ALIGN=MIDDLE  ALT=\"-1=-%281%2F2%29%2A2%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=-%281%2Fcross%282%29%29%2Across%282%29%2Bb ALIGN=MIDDLE  ALT=\"-1=-%281%2Fcross%282%29%29%2Across%282%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=-1%2Bb ALIGN=MIDDLE  ALT=\"-1=-1%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2B1=b ALIGN=MIDDLE  ALT=\"-1%2B1=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=b ALIGN=MIDDLE  ALT=\"0=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, the equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2B0 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%281%2F2%29x%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%281%2F2%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now, when we see that a slope is negative and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-intercept ALIGN=MIDDLE  ALT=\"y-intercept\"   DISABLED_style= \"max-width:90%; height:auto;\" > is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >), we know that graph of this line goes through II and IV quadrant,the correlation between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the table above is negative\r<BR>\n" );
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document.write( "the missing value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the table would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%294 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%294\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2Fcross%282%29%29cross%284%292 ALIGN=MIDDLE  ALT=\"y=-%281%2Fcross%282%29%29cross%284%292\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "here is the graph with all given points on it:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C600%2C-5%2C5%2C-5%2C5%2Cgrid%281%29%2Ccircle%281%2C-1%2F2%2C0.1%29%2Ccircle%282%2C-1%2C0.1%29%2Ccircle%283%2C-3%2F2%2C0.1%29%2Ccircle%284%2C-2%2C0.1%29%2Cgraph%28600%2C600%2C-5%2C5%2C-5%2C5%2C-%281%2F2%29x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );