document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28497>Question 28497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a linear model for the given set of data. Explain your thinking process in arriving at the equation. <BR>\n" );
document.write( "x     -2        0       1       3       4<BR>\n" );
document.write( "f(x)   8        2      -1      -7      -10\r<BR>\n" );
document.write( "\n" );
document.write( "Please help<BR>\n" );
document.write( "Thank you very much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15578 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a linear model for the given set of data. Explain your thinking process in arriving at the equation. <BR>\n" );
document.write( "x     -2        0       1       3       4<BR>\n" );
document.write( "f(x)   8        2      -1      -7      -10\r<BR>\n" );
document.write( "\n" );
document.write( "SINCE IT IS A LINEAR MODEL IT MEANS F(X)=AX+B = Y...SAY ..WHERE A AND B ARE CONSTANTS..SO PUT ANY 2 SETS OF VALUES FOR X AND Y AS GIVEN IN THE ABOVE EQUATION AND FIND A AND B.LET US TAKE <BR>\n" );
document.write( "x     -2        0    <BR>\n" );
document.write( "f(x)   8        2  <BR>\n" );
document.write( "SO WE GET <BR>\n" );
document.write( "8=A*(-2)+B..................I<BR>\n" );
document.write( "2=A*0+B..........II...OR B=2...SUBSTITUTING IN I WE GET ...<BR>\n" );
document.write( "8=-2A+2<BR>\n" );
document.write( "2A=2-8=-6<BR>\n" );
document.write( "A=-3...SO....<BR>\n" );
document.write( "Y=F(X)=-3X+2...LET US CHECK FOR OTHER VALUES WHETHER LINEAR MODEL IS CORRECT OR NOT...<BR>\n" );
document.write( "X=1....Y=-3+2=-1....OK<BR>\n" );
document.write( "X=3....Y=-3*3+2=-7.....OK<BR>\n" );
document.write( "X=4....Y=-3*4+2=-10.....OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );