document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994534>Question 994534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can not figure this problem out can someone help pls\r<BR>\n" );
document.write( "\n" );
document.write( "Natalie performs a chemistry experiment where she records the temperature of an ongoing reaction. The solution is 93.5º C after 3 minutes; 90º C after 5 minutes, 84.8 C after 9 minutes; 70.2º C after 18 minute; 54.4º C after 30 minutes; 42.5ºC after 37 minutes; and 24.9º C after 48 minutes. Perform a linear regression on this data to complete the following items.\r<BR>\n" );
document.write( "\n" );
document.write( "Write the equation of the best-fitting line.\r<BR>\n" );
document.write( "\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 #613583 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=613583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plot your points, let time be <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 temperature <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xmin ALIGN=MIDDLE  ALT=\"xmin\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >º<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3min ALIGN=MIDDLE  ALT=\"3min\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=93.5 ALIGN=MIDDLE  ALT=\"93.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >º <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5min ALIGN=MIDDLE  ALT=\"5min\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" >º <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9min ALIGN=MIDDLE  ALT=\"9min\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84.8 ALIGN=MIDDLE  ALT=\"84.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >º <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18min ALIGN=MIDDLE  ALT=\"18min\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70.2 ALIGN=MIDDLE  ALT=\"70.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >º <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30min ALIGN=MIDDLE  ALT=\"30min\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54.4 ALIGN=MIDDLE  ALT=\"54.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >º <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37min ALIGN=MIDDLE  ALT=\"37min\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42.5 ALIGN=MIDDLE  ALT=\"42.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >º <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48min ALIGN=MIDDLE  ALT=\"48min\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24.8 ALIGN=MIDDLE  ALT=\"24.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >º <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+60%2C+-10%2C+100%2C%0D%0Acircle%283%2C93.5%2C.25%29%2C%0D%0Acircle%285%2C90%2C.25%29%2C%0D%0Acircle%289%2C84.4%2C.25%29%2C%0D%0Acircle%2818%2C70.2%2C.25%29%2C%0D%0Acircle%2830%2C54.4%2C.25%29%2C%0D%0Acircle%2837%2C42.5%2C.25%29%2C%0D%0Acircle%2848%2C24.8%2C.25%29%2C%0D%0A%0D%0Alocate%283%2C93.5%2Cp%283%2C93.5%29%29%2C%0D%0Alocate%285%2C90%2Cp%283%2C90%29%29%2C%0D%0Alocate%289%2C84.4%2Cp%289%2C84.4%29%29%2C%0D%0Alocate%2818%2C70.2%2Cp%2818%2C70.2%29%29%2C%0D%0Alocate%2830%2C54.4%2Cp%2830%2C54.4%29%29%2C%0D%0Alocate%2837%2C42.5%2Cp%2837%2C42.5%29%29%2C%0D%0Alocate%2848%2C24.8%2Cp%2848%2C24.8%29%29%2C%0D%0A%0D%0A+graph%28+600%2C+600%2C+-10%2C+60%2C+-10%2C+100%2C+0%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To calculate the slope, pick two points on the line, and calculate the slope as:\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=%28y%5B2%5D-y%5B1%5D%29+%2F+%28x%5B2%5D-x%5B1%5D%29++ ALIGN=MIDDLE  ALT=\"slope=%28y%5B2%5D-y%5B1%5D%29+%2F+%28x%5B2%5D-x%5B1%5D%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >(your slope should have a negative value).\r<BR>\n" );
document.write( "\n" );
document.write( "The equation of the line is then \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+slope+%2Ax+%2B+b ALIGN=MIDDLE  ALT=\"y+=+slope+%2Ax+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-intercept ALIGN=MIDDLE  ALT=\"b=y-intercept\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "I would pick these two points on the line:\r<BR>\n" );
document.write( "\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9min ALIGN=MIDDLE  ALT=\"9min\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84.8 ALIGN=MIDDLE  ALT=\"84.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48min ALIGN=MIDDLE  ALT=\"48min\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24.8 ALIGN=MIDDLE  ALT=\"24.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >) \r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=%28y%5B2%5D-y%5B1%5D%29+%2F+%28x%5B2%5D-x%5B1%5D%29++ ALIGN=MIDDLE  ALT=\"slope=%28y%5B2%5D-y%5B1%5D%29+%2F+%28x%5B2%5D-x%5B1%5D%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=%2824.8-84.8%29+%2F+%2848-9%29++ ALIGN=MIDDLE  ALT=\"slope=%2824.8-84.8%29+%2F+%2848-9%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=-60+%2F+39++ ALIGN=MIDDLE  ALT=\"slope=-60+%2F+39++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=-20%2F13++ ALIGN=MIDDLE  ALT=\"slope=-20%2F13++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=-1.54++ ALIGN=MIDDLE  ALT=\"slope=-1.54++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-1.54x+%2B+b ALIGN=MIDDLE  ALT=\"y+=+-1.54x+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "use one point to 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" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84.8+=+-1.54%2A9+%2B+b ALIGN=MIDDLE  ALT=\"84.8+=+-1.54%2A9+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84.8+%2B1.54%2A9=+b ALIGN=MIDDLE  ALT=\"84.8+%2B1.54%2A9=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84.8+%2B13.86=+b ALIGN=MIDDLE  ALT=\"84.8+%2B13.86=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=98.66 ALIGN=MIDDLE  ALT=\"b=98.66\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-1.54x+%2B+98.66 ALIGN=MIDDLE  ALT=\"y+=+-1.54x+%2B+98.66\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+60%2C+-10%2C+100%2C%0D%0Acircle%283%2C93.5%2C.25%29%2C%0D%0Acircle%285%2C90%2C.25%29%2C%0D%0Acircle%289%2C84.4%2C.25%29%2C%0D%0Acircle%2818%2C70.2%2C.25%29%2C%0D%0Acircle%2830%2C54.4%2C.25%29%2C%0D%0Acircle%2837%2C42.5%2C.25%29%2C%0D%0Acircle%2848%2C24.8%2C.25%29%2C%0D%0A%0D%0Alocate%283%2C93.5%2Cp%283%2C93.5%29%29%2C%0D%0Alocate%285%2C90%2Cp%283%2C90%29%29%2C%0D%0Alocate%289%2C84.4%2Cp%289%2C84.4%29%29%2C%0D%0Alocate%2818%2C70.2%2Cp%2818%2C70.2%29%29%2C%0D%0Alocate%2830%2C54.4%2Cp%2830%2C54.4%29%29%2C%0D%0Alocate%2837%2C42.5%2Cp%2837%2C42.5%29%29%2C%0D%0Alocate%2848%2C24.8%2Cp%2848%2C24.8%29%29%2C%0D%0A%0D%0A+graph%28+600%2C+600%2C+-10%2C+60%2C+-10%2C+100%2C+-1.54x+%2B+98.66%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );