document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135274>Question 135274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I saw this question earlier but it wasn't answered and there was no dataset included so I'm posting again.  <BR>\n" );
document.write( "In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s<BR>\n" );
document.write( "employees. (a) Write the fitted regression equation. (b) State the degrees of freedom for a twotailed<BR>\n" );
document.write( "test for zero slope, and use Appendix D to find the critical value at &#945; = .05. (c) What is your<BR>\n" );
document.write( "conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify<BR>\n" );
document.write( "that F = t2 for the slope. (f) In your own words, describe the fit of this regression.\r<BR>\n" );
document.write( "\n" );
document.write( "R2 0.202<BR>\n" );
document.write( "Std. Error 6.816<BR>\n" );
document.write( "n 35\r<BR>\n" );
document.write( "\n" );
document.write( "ANOVA table<BR>\n" );
document.write( "Source---------SS---------df-------MS----------F-----p-value<BR>\n" );
document.write( "Regression---387.6956-----1------387.6959----8.35---.0068<BR>\n" );
document.write( "Residual-----1,533.0614---33-----46.4564<BR>\n" );
document.write( "Total--------1,920.7573---34\r<BR>\n" );
document.write( "\n" );
document.write( "Regression output----------------------------------------confidence interval<BR>\n" );
document.write( "variables----coeff-----std.error---t(df = 33)----p-val----95%lower----95% upper<BR>\n" );
document.write( "Intercept----30.7963---6.4078------4.806---------.0000----17.7595-----43.8331<BR>\n" );
document.write( "Slope--------0.0343----0.0119------2.889---------.0068----0.0101------0.0584\r<BR>\n" );
document.write( "\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 #99278 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=99278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since nobody else is jumping into reponding on this question,<BR>\n" );
document.write( "I'll take a stab at it.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s employees. <BR>\n" );
document.write( "(a) Write the fitted regression equation: Y = 0.0343X + 30.7963<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "(b) State the degrees of freedom for a two tailed test for zero slope, and use Appendix D to find the critical value at alpha = .05.<BR>\n" );
document.write( "df(slope)= 33<BR>\n" );
document.write( "------------------------ <BR>\n" );
document.write( "(c) What is your conclusion about the slope? <BR>\n" );
document.write( "Since p-value = 0.0068 reject Ho for alpha = 5%<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% confidence the slope lies 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( "F = 8.35 ; t^2 = 2.889^2 = 8.346<BR>\n" );
document.write( "------------------------------------ <BR>\n" );
document.write( "(f) In your own words, describe the fit of this regression.<BR>\n" );
document.write( "It's pretty poor since R = sqrt(0.202)= 0.45<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "DATA below:<BR>\n" );
document.write( "R2 0.202<BR>\n" );
document.write( "Std. Error 6.816<BR>\n" );
document.write( "n 35\r<BR>\n" );
document.write( "\n" );
document.write( "ANOVA table<BR>\n" );
document.write( "Source---------SS---------df-------MS----------F-----p-value<BR>\n" );
document.write( "Regression---387.6956-----1------387.6959----8.35---.0068<BR>\n" );
document.write( "Residual-----1,533.0614---33-----46.4564<BR>\n" );
document.write( "Total--------1,920.7573---34\r<BR>\n" );
document.write( "\n" );
document.write( "Regression output----------------------------------------confidence interval<BR>\n" );
document.write( "variables----coeff-----std.error---t(df = 33)----p-val----95%lower----95% upper<BR>\n" );
document.write( "Intercept----30.7963---6.4078------4.806---------.0000----17.7595-----43.8331<BR>\n" );
document.write( "Slope--------0.0343----0.0119------2.889---------.0068----0.0101------0.0584\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );