document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176844>Question 1176844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The table below shows the value,V,  of an investment (in dollars) n  years after 1994.\r<BR>\n" );
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document.write( "n      1	       3	   7	           12   	14	           19<BR>\n" );
document.write( "V(n)5513	5820.22	6791	8091.68	8282	8879.65\r<BR>\n" );
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document.write( "Based on this regression model, the value of this investment was $ in the year 1994\r<BR>\n" );
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document.write( "Based on the regression model, the value of this investment is increasing <BR>\n" );
document.write( "at a rate of $ per year.<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 #804999 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=804999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> usng the alcula statistical calculator, i get the following result.\r<BR>\n" );
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document.write( "placing the data on an excel spreadsheet, i get the following result.\r<BR>\n" );
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document.write( "the linear regression formula was rounded to:\r<BR>\n" );
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document.write( "y = 199.78 * x + 5364.96\r<BR>\n" );
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document.write( "the same equation could also be shown as:\r<BR>\n" );
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document.write( "y = 5364.96 + 199.78 * x\r<BR>\n" );
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document.write( "the base year is 1994 which corresponds to x = 0.\r<BR>\n" );
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document.write( "the value of the investment in 1994 is estimated to be 5364.96 based on the regression formula.\r<BR>\n" );
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document.write( "that would be the y-intercept on the graph which is the value of y when x = 0.\r<BR>\n" );
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document.write( "the average increase in the investment per year would be 199.78 based on the regression formula.\r<BR>\n" );
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document.write( "the format of the regression formula is a straight line.<BR>\n" );
document.write( "the general form of the straight line is y = mx + b.<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.\r<BR>\n" );
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document.write( "the slope is the average change per year.<BR>\n" );
document.write( "the y-intercept is the value of y when the value of x = 0.<BR>\n" );
document.write( "the value of x = 0 corresponds to the year 1994.\r<BR>\n" );
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