document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93778>Question 93778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Look at the effects of growth hormone (gibberellic acid) on plant height with a 0.1 molar solution:\r<BR>\n" );
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document.write( "Acid                         Plant height in one week\r<BR>\n" );
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document.write( "20 ml                        18.5 cm<BR>\n" );
document.write( "30 ml                        20.7 cm<BR>\n" );
document.write( "40 ml                        45.2 cm<BR>\n" );
document.write( "50 ml                        62.3 cm<BR>\n" );
document.write( "60 ml                        10.6 cm\r<BR>\n" );
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document.write( "What is the estimated plant height at 10 ml of acid?<BR>\n" );
document.write( "What is the estimated plant height at 25 ml of acid?<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 #68322 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=68322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font size = 3 face = \"lucida console\"><b>\r\n" );
document.write( "Look at the effects of growth hormone (gibberellic acid)\r\n" );
document.write( "on plant height with a 0.1 molar solution: \r\n" );
document.write( "Acid Plant height in one week \r\n" );
document.write( "20 ml 18.5 cm\r\n" );
document.write( "30 ml 20.7 cm\r\n" );
document.write( "40 ml 45.2 cm\r\n" );
document.write( "50 ml 62.3 cm\r\n" );
document.write( "60 ml 10.6 cm \r\n" );
document.write( "What is the estimated plant height at 10 ml of acid?\r\n" );
document.write( "What is the estimated plant height at 25 ml of acid?\r\n" );
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document.write( "With your TI-83 or 84 graphing calculator,\r\n" );
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document.write( "First, make sure the Diagnostics are on.  To make sure,\r\n" );
document.write( " \r\n" );
document.write( "PRESS 2nd 0 to get CATALOG\r\n" );
document.write( "Press and hold the down arrow key till pointer gets to \r\n" );
document.write( "DiagnosticOn\r\n" );
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document.write( "(If you go too far use the up arrow to get the pointer\r\n" );
document.write( " back to it)\r\n" );
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document.write( "Press ENTER ENTER\r\n" );
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document.write( "You should read \r\n" );
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document.write( "DiagnosticOn\r\n" );
document.write( "            Done\r\n" );
document.write( "Press CLEAR\r\n" );
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document.write( "---------------------------\r\n" );
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document.write( "Make sure Plot1 is on.\r\n" );
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document.write( "Press Y= to get STAT PLOT then up arrow to highlight \r\n" );
document.write( "Plot1 then ENTER\r\n" );
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document.write( "Press 2nd MODE to get Quit (to go back to main screen)\r\n" );
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document.write( "Make sure TABLE SETUP is on ASK for the independent \r\n" );
document.write( "variable\r\n" );
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document.write( "Press 2nd WINDOW to get TBLSET\r\n" );
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document.write( "Press down arrow twice and right arrow once to \r\n" );
document.write( "highlight Ask\r\n" );
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document.write( "Press 2nd MODE to get Quit (to go back to main screen)\r\n" );
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document.write( "Press STAT ENTER\r\n" );
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document.write( "Enter the values 20, 30, ..., 60 in L1\r\n" );
document.write( "Enter the values 18.5, 20.7, .... 10.6 in L2\r\n" );
document.write( "\r\n" );
document.write( "Press STAT, then right arrow to highlight CALC\r\n" );
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document.write( "Scroll with down arrow to highlight LinReg(ax+b) and\r\n" );
document.write( "press ENTER \r\n" );
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document.write( "Press VARS, then right arrow to highlght Y-VARS, then \r\n" );
document.write( "press ENTER ENTER\r\n" );
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document.write( "Read\r\n" );
document.write( "LinReg\r\n" );
document.write( " y=ax+b\r\n" );
document.write( " a=.258\r\n" );
document.write( " b=21.14\r\n" );
document.write( " r²=.0358107396\r\n" );
document.write( " r=.1892372573\r\n" );
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document.write( "That value or r² is not near 1, so CLEAR.\r\n" );
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document.write( "-------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "Press STAT again, then right arrow to highlight \r\n" );
document.write( "CALC\r\n" );
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document.write( "Scroll with down arrow this time to highlight \r\n" );
document.write( "QuadReg and press ENTER\r\n" );
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document.write( "Press VARS, then right arrow to highlight Y-VARS,\r\n" );
document.write( "then press ENTER ENTER\r\n" );
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document.write( "You should read\r\n" );
document.write( "QuadReg\r\n" );
document.write( " y=ax²+bx+c\r\n" );
document.write( " a=-.0822857143\r\n" );
document.write( " b=6.840857143\r\n" );
document.write( " c=-94.06 \r\n" );
document.write( " r²=.5457879872\r\n" );
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document.write( "That value or r² is also not near 1, so CLEAR.\r\n" );
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document.write( "-----------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "Press STAT again, then right arrow to highlight \r\n" );
document.write( "CALC\r\n" );
document.write( "\r\n" );
document.write( "Scroll with down arrow this time to highlight \r\n" );
document.write( "CubicReg and press ENTER \r\n" );
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document.write( "Press VARS, then right arrow to highlight Y-VARS,\r\n" );
document.write( "then press ENTER ENTER ENTER\r\n" );
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document.write( "Read\r\n" );
document.write( "CubicReg\r\n" );
document.write( " y=ax³+bx²+cx+d\r\n" );
document.write( " a=-.0075916667\r\n" );
document.write( " b=.8287142857\r\n" );
document.write( " c=-27.01797619\r\n" );
document.write( " d=288.56 \r\n" );
document.write( " r²=.9922768519\r\n" );
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document.write( "Now that value of r² is very near 1 so we have found a\r\n" );
document.write( "good regression function for the data.  However, let's\r\n" );
document.write( "try the quartic regression to see if its r² value is\r\n" );
document.write( "even closer to 1. If it's not closer then we'll come \r\n" );
document.write( "back to this one.\r\n" );
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document.write( "-----------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "Press STAT again, then right arrow to highlight \r\n" );
document.write( "CALC\r\n" );
document.write( "\r\n" );
document.write( "Scroll with down arrow this time to highlight \r\n" );
document.write( "QuartReg and press ENTER \r\n" );
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document.write( "Press VARS, then right arrow to highlight Y-VARS,\r\n" );
document.write( "then press ENTER ENTER ENTER\r\n" );
document.write( "\r\n" );
document.write( "Read\r\n" );
document.write( "QuartReg\r\n" );
document.write( " y=ax<sup><font size = 2>4</font></sup>+bx³+cx²+dx+e\r\n" );
document.write( " a=-1.320833E-4\r\n" );
document.write( " b=.0135416667\r\n" );
document.write( " c=-.3807916667\r\n" );
document.write( " d=2.115633333 \r\n" );
document.write( "|e=41.3\r\n" );
document.write( " \r\n" );
document.write( "Press the down arrow to read \r\n" );
document.write( " R²=1\r\n" );
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document.write( "Now that value of R² is exactly 1, so we have found \r\n" );
document.write( "the best possible standard regression function for \r\n" );
document.write( "the data. \r\n" );
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document.write( "To see the data points plotted and watch the graph go\r\n" );
document.write( "through them, press ZOOM, then scroll down to highlight \r\n" );
document.write( "ZoomStat  \r\n" );
document.write( "Then press ENTER\r\n" );
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document.write( "---------------------------\r\n" );
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document.write( "Now to get the answer you want, press 2nd GRAPH to \r\n" );
document.write( "get TABLE\r\n" );
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document.write( "Enter 10 under the X column, press ENTER, \r\n" );
document.write( "read 36.6 under Y1 column\r\n" );
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document.write( "Enter 25 under the X column, press ENTER, \r\n" );
document.write( "read 16.195 under the Y1 column\r\n" );
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document.write( "Edwin</PRE> </SPAN>\n" );
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