document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011517>Question 1011517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Raw material used in the production of synthetic fiber is<BR>\n" );
document.write( "stored in a place which has no humidity control.<BR>\n" );
document.write( "Measurements of the relative humidity in the storage<BR>\n" );
document.write( "place and the moisture content of a sample of the raw<BR>\n" );
document.write( "material (both in percentages) on 12 days yielded the<BR>\n" );
document.write( "following results: \r<BR>\n" );
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document.write( "Humidity x 42 35 50 43 48 62 31 36 44 39 55 48\r<BR>\n" );
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document.write( "Moisture<BR>\n" );
document.write( "content y 12 8 14 9 11 16 7 9 12 10 13 11<BR>\n" );
document.write( "(i) Make a scatter plot to verify that it is reasonable to<BR>\n" );
document.write( "assume that the regression of y on x is linear<BR>\n" );
document.write( "(ii) Fit a straight line by the method of least squares,<BR>\n" );
document.write( "(iii) Estimate the moisture content when humidity is 45%.<BR>\n" );
document.write( "(iv) Determine the correlation coefficient.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627203 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=0.269 x  + 0.95<BR>\n" );
document.write( "When the humidity is a certain value, the moisture content is about 27% of the humidity (in per cent) plus about 1.<BR>\n" );
document.write( "The correlation coefficient is +0.914<BR>\n" );
document.write( "When the humidity is 45%, the moisture content would be predicted to be about 13<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-5%2C100%2C-5%2C30%2C0.269x%2B0.95%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-5%2C100%2C-5%2C30%2C0.269x%2B0.95%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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