document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190382>Question 1190382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A data series is given for a periodic process:\r<BR>\n" );
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document.write( "0     1        2     3      4      5     6      7       8       9   10 <BR>\n" );
document.write( "1.7  1.7   2.3  2.9   3.0  3.5  4.0  11.0  9.5  9.7  9.9\r<BR>\n" );
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document.write( "Please find a linear regression.<BR>\n" );
document.write( "Is the use of a linear regression okay?\r<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 #822006 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</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=822006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Data table:<BR>\n" );
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document.write( "<tr><TD >x</TD><TD >0</TD><TD >1</TD><TD >2</TD><TD >3</TD><TD >4</TD><TD >5</TD><TD >6</TD><TD >7</TD><TD >8</TD><TD >9</TD><TD >10</TD></tr><tr><TD >y</TD><TD >1.7</TD><TD >1.7</TD><TD >2.3</TD><TD >2.9</TD><TD >3</TD><TD >3.5</TD><TD >4</TD><TD >11</TD><TD >9.5</TD><TD >9.7</TD><TD >9.9</TD></tr>\n" );
document.write( "</TABLE>which is the same as writing<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >x</TD><TD >y</TD></tr><tr><TD >0</TD><TD >1.7</TD></tr><tr><TD >1</TD><TD >1.7</TD></tr><tr><TD >2</TD><TD >2.3</TD></tr><tr><TD >3</TD><TD >2.9</TD></tr><tr><TD >4</TD><TD >3</TD></tr><tr><TD >5</TD><TD >3.5</TD></tr><tr><TD >6</TD><TD >4</TD></tr><tr><TD >7</TD><TD >11</TD></tr><tr><TD >8</TD><TD >9.5</TD></tr><tr><TD >9</TD><TD >9.7</TD></tr><tr><TD >10</TD><TD >9.9</TD></tr>\n" );
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document.write( "The linear regression equation is roughly <BR>\n" );
document.write( "y = 1.0164x + 0.3\r<BR>\n" );
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document.write( "The correlation coefficient is roughly<BR>\n" );
document.write( "r = 0.8962\r<BR>\n" );
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document.write( "I used the GeoGebra calculator to find the regression equation and correlation coefficient value. I strongly recommend using a calculator rather than do it by hand. <BR>\n" );
document.write( "If your teacher requires you to use a formula, then please let me know so I can change my response. \r<BR>\n" );
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document.write( "Since r is fairly close to 1, I'd consider this to be strong positive correlation. <BR>\n" );
document.write( "A linear model seems to be a good fit.<BR>\n" );
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