document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83419>Question 83419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the following table lists how poerty level income cutoffs (in dollars) for a family of four have changed over time\r<BR>\n" );
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document.write( "year/income<BR>\n" );
document.write( "1970/3968<BR>\n" );
document.write( "1975/5500<BR>\n" );
document.write( "1980/8414<BR>\n" );
document.write( "1985/10989<BR>\n" );
document.write( "1990/13359<BR>\n" );
document.write( "1995/15569<BR>\n" );
document.write( "2000/17603\r<BR>\n" );
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document.write( "Let x be the year, with x = 0 corresponding to 1970, and y be the income in thousands of dollars. (note: symbol weird E x = 105, Weird Ex^2 = 2275, weird Ey=75.402, Weird Ey^2 = 968.270792, wierd Exy = 1460.97)\r<BR>\n" );
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document.write( "A) PLOT THE DATA. DO THE DATA APPEAR TO LIE ALONG A SRAIGHT LINE?<BR>\n" );
document.write( "B) CALCULATE TH ECOEFFICIENT OF CORRELATION. dOES YOUR RESULT AGREE WITH YOUR ANSWER IN PART a?<BR>\n" );
document.write( "C)fIND THE EQUATION OF THE LEAST SQUARE LINE.<BR>\n" );
document.write( "d) uSE YOUR ANSWER FROM PART c TO PREDICT THE POVERTY LEVEL IN THE YEAR 2015. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59928 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the following table lists how poerty level income cutoffs (in dollars) for a family of four have changed over time <BR>\n" );
document.write( "year/income<BR>\n" );
document.write( "1970/3968<BR>\n" );
document.write( "1975/5500<BR>\n" );
document.write( "1980/8414<BR>\n" );
document.write( "1985/10989<BR>\n" );
document.write( "1990/13359<BR>\n" );
document.write( "1995/15569<BR>\n" );
document.write( "2000/17603 <BR>\n" );
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document.write( "Enter Data into a TI-83 or better:<BR>\n" );
document.write( "Run the \"Linear Regression\" function on the data:<BR>\n" );
document.write( " <BR>\n" );
document.write( "Let x be the year, with x = 0 corresponding to 1970, and y be the income in thousands of dollars. (note: symbol weird E x = 105, Weird Ex^2 = 2275, weird Ey=75.402, Weird Ey^2 = 968.270792, wierd Exy = 1460.97) <BR>\n" );
document.write( "A) PLOT THE DATA. DO THE DATA APPEAR TO LIE ALONG A SRAIGHT LINE?<BR>\n" );
document.write( "Yes<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "AGREE WITH YOUR ANSWER IN PART a?<BR>\n" );
document.write( "r = 0.96 ; yes<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "C)fIND THE EQUATION OF THE LEAST SQUARE LINE.<BR>\n" );
document.write( "y = 519.99x +5051.797<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "d) uSE YOUR ANSWER FROM PART c TO PREDICT THE POVERTY LEVEL IN THE YEAR 2015.<BR>\n" );
document.write( "f(35) = 23252<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );