document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206833>Question 1206833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following sample observations were randomly selected:\r<BR>\n" );
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document.write( "x:\r<BR>\n" );
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document.write( " 7\r<BR>\n" );
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document.write( " 17\r<BR>\n" );
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document.write( "4\r<BR>\n" );
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document.write( " 19\r<BR>\n" );
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document.write( " 17\r<BR>\n" );
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document.write( " 3\r<BR>\n" );
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document.write( "19\r<BR>\n" );
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document.write( "18\r<BR>\n" );
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document.write( "y:\r<BR>\n" );
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document.write( "13\r<BR>\n" );
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document.write( "6\r<BR>\n" );
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document.write( "17\r<BR>\n" );
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document.write( "22\r<BR>\n" );
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document.write( "22\r<BR>\n" );
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document.write( "11\r<BR>\n" );
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document.write( "9\r<BR>\n" );
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document.write( "12\r<BR>\n" );
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document.write( "                   <BR>\n" );
document.write( "a. Not available in Connect.\r<BR>\n" );
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document.write( "b. Determine the regression equation.(Negative answer should be indicated by a minus sign. Do not round intermediate calculations and round the final answers to 4 decimal places.)\r<BR>\n" );
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document.write( "b = <BR>\n" );
document.write( "   a = \r<BR>\n" );
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document.write( "y' = <BR>\n" );
document.write( " + <BR>\n" );
document.write( " x\r<BR>\n" );
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document.write( "c. Determine the value of y' when x is 2. (Use the part b rounded answers to calculate the answer. Round the final answer to 4 decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844623 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the regression equation is y = a + bx.<BR>\n" );
document.write( "this equation becomes y = 13.3613 + .04913x<BR>\n" );
document.write( "a = 13.3613<BR>\n" );
document.write( "b = .04913\r<BR>\n" );
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document.write( "i'm not sure what you mean by y'.<BR>\n" );
document.write( "it could be you mean y-hat.<BR>\n" );
document.write( "if so, the regression equation is really y-hat = ...., which is shown as just y = 13.3613 + .04913x becomes:<BR>\n" );
document.write( "the y-hat designation means that the value of y is based on the regression equation and is not an actual data point from the data set.\r<BR>\n" );
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document.write( "when x = 2, y = 13.3613 + .04913 * 2 which is equal to 13.45956.\r<BR>\n" );
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document.write( "here's a graph of the equation.\r<BR>\n" );
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document.write( "here's the results.\r<BR>\n" );
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document.write( "the results are:\r<BR>\n" );
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document.write( "r = .00348 which indicates a very weak positive correlation.<BR>\n" );
document.write( "r^2 = .05899 which indicates that only about 6% of the value of y is explained by the correlation with the value of x which mean a very weak correlation.<BR>\n" );
document.write( "f = .02095 which is not greater than the critical f value of 5.99.<BR>\n" );
document.write( "this indicates the results are not significant which means there is insufficient data to conclude that a strong correlation exists.<BR>\n" );
document.write( "p = .8896 which is significantly more than the critical p-value of .05 which, again, indicates that the results are not significant and therefore insufficient to determine that a strong correlation exists.\r<BR>\n" );
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document.write( "that's what i get from this analysis.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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