document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150416>Question 150416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the equation of the regression line to predict y when x =20\r<BR>\n" );
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document.write( "x  5   8   6  10  12   9  <BR>\n" );
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document.write( "y  18 20  15  25  30  25\r<BR>\n" );
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document.write( "Please help,<BR>\n" );
document.write( "Ellen<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110391 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=110391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the average x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bave%5D=%285%2B8%2B6%2B10%2B12%2B9%29%2F6 ALIGN=MIDDLE  ALT=\"x%5Bave%5D=%285%2B8%2B6%2B10%2B12%2B9%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bave%5D=8.33 ALIGN=MIDDLE  ALT=\"x%5Bave%5D=8.33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the average y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bave%5D=%2818%2B15%2B20%2B25%2B25%2B30%29%2F6 ALIGN=MIDDLE  ALT=\"y%5Bave%5D=%2818%2B15%2B20%2B25%2B25%2B30%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bave%5D=22.167 ALIGN=MIDDLE  ALT=\"y%5Bave%5D=22.167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For a simple linear regression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=a%2BbX ALIGN=MIDDLE  ALT=\"Y=a%2BbX\"   DISABLED_style= \"max-width:90%; height:auto;\" >, use the following formula to find the slope, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%28sum%28+%28x-x%5Bave%5D%29%28y-y%5Bave%5D%29+%29%29%2F%28sum%28%28x-x%5Bave%5D%29%5E2%29%29 ALIGN=MIDDLE   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=b=66.666%2F33.333 ALIGN=MIDDLE  ALT=\"b=66.666%2F33.333\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=y%5Bave%5D-bx%5Bave%5D ALIGN=MIDDLE  ALT=\"a=y%5Bave%5D-bx%5Bave%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=22.167-2%288.333%29 ALIGN=MIDDLE  ALT=\"a=22.167-2%288.333%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=22.167-2%288.333%29 ALIGN=MIDDLE  ALT=\"a=22.167-2%288.333%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5.5 ALIGN=MIDDLE  ALT=\"a=5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C-5%2C+25%2C+-5%2C60%2Cgrid%28+1+%29%2C+%0D%0Acircle%285%2C18%2C.1%29%2C%0D%0Acircle%286%2C15%2C.1%29%2C%0D%0Acircle%288%2C20%2C.1%29%2C%0D%0Acircle%289%2C25%2C.1%29%2C%0D%0Acircle%2810%2C25%2C.1%29%2C%0D%0Acircle%2812%2C30%2C.1%29%2C%0D%0Acircle%2820%2C45.5%2C.3%29%2C%0D%0Ablue%28line%280%2C5.5%2C25%2C55.5%29%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To estimate for x=20<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2820%29=2%2820%29%2B5.5=45.5 ALIGN=MIDDLE  ALT=\"y%2820%29=2%2820%29%2B5.5=45.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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