document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41749>Question 41749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The data shows the number of times a cricket chirped in 1 minute and the temperature at the time of the chirps:\r<BR>\n" );
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document.write( "Temp (ºC):  18  8 15 14 10  7 14  6 14  9 14 13 15<BR>\n" );
document.write( "# Chirps:    20 17 18 18 16 16 17 15 16 15 17 16 17	\r<BR>\n" );
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document.write( "	A linear model that approximates this data is  N = 0.281t + 13.4 where N represents the number of chirps and t represents the temperature.  Plot the actual data and the model on the same graph.  How closely does the model represent the data?<BR>\n" );
document.write( "I really need some help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27111 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set up a graph.  The x-axis is the temperature. The y-axis are the chirps.  Plot the graph according to the data:<BR>\n" );
document.write( "(x-axis) Temp (ºC):  18  8 15 14 10  7 14  6 14  9 14 13 15 <BR>\n" );
document.write( "(y-axis)# Chirps:    20 17 18 18 16 16 17 15 16 15 17 16 17<BR>\n" );
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document.write( "Plot these points: (18, 20), (8, 17), (15, 18), (14, 18), (10, 16), (7,16), (14, 17), (6, 15), etc.<BR>\n" );
document.write( "Even though the points are somewhat scattered, draw a \"best-fit\" line through the cluster of points.<BR>\n" );
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document.write( "Next, using the formula N = 0.281t + 13.4, plug in each value for the temperature (x)and see what you get for the value of the chirps.  Plot these new points on the same graph (maybe in a different color ink). Compare both lines and see how close they are.<BR>\n" );
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document.write( "Example:   N = 0.281t + 13.4<BR>\n" );
document.write( "Plug in the first temperature value of 18 taken from the old point of (18,  20):<BR>\n" );
document.write( "N = 0.281(18) + 13.4<BR>\n" );
document.write( "N = 18.458.  The new point is (18, 18.458) which is pretty close to the old point of (18, 20)<BR>\n" );
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document.write( "Take another old point and plug in the x-value into N = 0.281t + 13.4<BR>\n" );
document.write( "Use the x value from (8, 17):<BR>\n" );
document.write( "N = 0.281(8) + 13.4<BR>\n" );
document.write( "N = 15.64.<BR>\n" );
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document.write( "This new point of (8, 15.64) is pretty close to the old point of (8, 17).  Plot (8, 15.64).<BR>\n" );
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document.write( "Continue to plug in the temperature and plot the new points.  Compare the old and the new plotted lines.\r<BR>\n" );
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document.write( "I hope this helps.  It isn't as hard as it seems  -- it is just a lot of work!!!<BR>\n" );
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