document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147978>Question 147978</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072966963/algebrahomeworkh>APPLIED STATISTICS IN BUSINESS AND ECONOMICS</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 12.48 In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s employees. (a) Write the fitted regression equation. (b) State the degrees of freedom for a twotailed test for zero slope, and use Appendix D to find the critical value at &#945; = .05. (c) What is your conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify that F = t2 for the slope. \r<BR>\n" );
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document.write( "a) Write the fitted regression equation.<BR>\n" );
document.write( "Y = 30.7963 + 0.0343X<BR>\n" );
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document.write( "(b) State the degrees of freedom for a twotailed test for zero slope, and use Appendix D to find the critical value at &#945; = .05.<BR>\n" );
document.write( "df = 33 ; critical value is 2.035 (see page 782) <BR>\n" );
document.write( "(c) What is your conclusion about the slope? <BR>\n" );
document.write( "Since the p-value is 0.0068 (less than 1%), the true value is not zero.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(d) Interpret the 95 percent confidence limits for the slope.<BR>\n" );
document.write( "We are 95% confident that the slope is between 0.0101 and 0.0584<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "(e) Verify that F = t2 for the slope. <BR>\n" );
document.write( "2.889^2 = = 8.346321 (rounded is 8.35)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108379 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=108379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12.48 In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s employees. <BR>\n" );
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document.write( "Note: Only your reference to the book and the problem number make it<BR>\n" );
document.write( "possible for anyone to help you with this problem.<BR>\n" );
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document.write( "(a) Write the fitted regression equation.<BR>\n" );
document.write( "Y = 30.7963 + 0.0343X<BR>\n" );
document.write( "--------------------------------  <BR>\n" );
document.write( "(b) State the degrees of freedom for a twotailed test for zero slope, and use Appendix D to find the critical value at &#945; = .05.<BR>\n" );
document.write( "df = 33 ; critical value is 2.035 (see page 782) <BR>\n" );
document.write( "(c) What is your conclusion about the slope? <BR>\n" );
document.write( "Since the p-value is 0.0068 (less than 1%), the true value is not zero.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(d) Interpret the 95 percent confidence limits for the slope.<BR>\n" );
document.write( "We are 95% confident that the slope is between 0.0101 and 0.0584<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "(e) Verify that F = t2 for the slope. <BR>\n" );
document.write( "2.889^2 = = 8.346321 (rounded is 8.35)<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );