document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947467>Question 947467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> POPULATION The table shows the population for a<BR>\n" );
document.write( "given urban area.<BR>\n" );
document.write( "Let x be the number of years since 1950 and let y be the<BR>\n" );
document.write( "population in thousands. Find a model for the data. Then, linearize the data and give the regression<BR>\n" );
document.write( "equation for the linearized data.<BR>\n" );
document.write( "Year<BR>\n" );
document.write( "1960<BR>\n" );
document.write( "1970<BR>\n" );
document.write( "1980<BR>\n" );
document.write( "1990<BR>\n" );
document.write( "2000<BR>\n" );
document.write( "Population (thousands)<BR>\n" );
document.write( "30<BR>\n" );
document.write( "58<BR>\n" );
document.write( "120<BR>\n" );
document.write( "220<BR>\n" );
document.write( "455\r<BR>\n" );
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document.write( "I found the model of the data and it turned out to be an exponential model with an equation of y=15.198(1.07)^x. I could not find the linearized equation. The linearized equation is supposed to be y= 0.0058x+3.726<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 #578507 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=578507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The data for the curve fit should be <BR>\n" );
document.write( "(10,30)<BR>\n" );
document.write( "(20,58)<BR>\n" );
document.write( "(30,120)<BR>\n" );
document.write( "(40,220)<BR>\n" );
document.write( "(50,455)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=YL.JPG\">.<BR>\n" );
document.write( "I agree with you. <BR>\n" );
document.write( "That looks like the best fit.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "How does that linear solution even work?<BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3.784 ALIGN=MIDDLE  ALT=\"y=3.784\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=50 ALIGN=MIDDLE  ALT=\"x=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4.016 ALIGN=MIDDLE  ALT=\"y=4.016\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );