document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196277>Question 1196277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The chart to the right shows a country's annual egg production. Model the data in the chart with a linear function, using the points (1994,52.7) and (1998,61.2). Let x<BR>\n" );
document.write( "represent the year, where x = 0 represents 1994, x= 1 represents 1995, and so on, and let y represent the egg production (in billions). Predict egg production in 2000.<BR>\n" );
document.write( "The linear model for the data is<BR>\n" );
document.write( "(Type your answer in slope-intercept form. Use integers or decimals for any numbers in the equation. Round to three decimal places as needed.)<BR>\n" );
document.write( "Year<BR>\n" );
document.write( "1994<BR>\n" );
document.write( "1995<BR>\n" );
document.write( "1996<BR>\n" );
document.write( "1997<BR>\n" );
document.write( "1998<BR>\n" );
document.write( "1999<BR>\n" );
document.write( "2000<BR>\n" );
document.write( "Egg products (in billions)<BR>\n" );
document.write( "52.7<BR>\n" );
document.write( "53.6<BR>\n" );
document.write( "55.4<BR>\n" );
document.write( "58.1<BR>\n" );
document.write( "61.2<BR>\n" );
document.write( "64.8<BR>\n" );
document.write( "70.7<BR>\n" );
document.write( "Check answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829056 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=829056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Answers: <BR>\n" );
document.write( "Regression line equation is roughly <font color=red>y = 2.936x + 50.693</font><BR>\n" );
document.write( "The predicted production level in the year 2000 is approximately <font color=red>68.3 billion</font>\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "I used GeoGebra's FitLine command to find the regression line. <BR>\n" );
document.write( "You could compute this by hand, but I recommend using software to make your life easier. <BR>\n" );
document.write( "In real world settings, you'll be using software to speed up the process and ensure no errors happen. \r<BR>\n" );
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document.write( "Once we have the regression line equation, plug in x = 6 to represent the year 2000 (since 2000-1994 = 6)<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "y = 2.936x + 50.693<BR>\n" );
document.write( "y = 2.936*6 + 50.693<BR>\n" );
document.write( "y = 68.309<BR>\n" );
document.write( "y = 68.3<BR>\n" );
document.write( "We predict about 68.3 billion eggs are produced in the year 2000<BR>\n" );
document.write( "The actual production level is 70.7 billion according to the table.<BR>\n" );
document.write( "This is an error of about 70.7 - 68.3 = 2.4 billion\r<BR>\n" );
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document.write( "Side note: the correlation coefficient is roughly r = 0.9704 </SPAN>\n" );
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