document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193344>Question 193344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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.<BR>\n" );
document.write( "R2 0.202<BR>\n" );
document.write( "Std. Error 6.816<BR>\n" );
document.write( "n 35<BR>\n" );
document.write( "ANOVA table<BR>\n" );
document.write( "Source SS df MS F p-value<BR>\n" );
document.write( "Regression 387.6959 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<BR>\n" );
document.write( "Regression output confidence interval<BR>\n" );
document.write( "variables coefficients std. error t (df = 33) p-value 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<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 #145159 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=145159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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 &#945; = .05.<BR>\n" );
document.write( "df = 34 ; I don't have your D-chart. <BR>\n" );
document.write( "(c) What is your conclusion about the slope? <BR>\n" );
document.write( "Since the p-value is greater than 5% the slope fail to reject Ho: rho = 0<BR>\n" );
document.write( "(d) Interpret the 95 percent confidence limits for the slope.<BR>\n" );
document.write( "We are 95% confident the slope is between 17.7595 and 43.8331 <BR>\n" );
document.write( "(e) Verify that F = t2 for the slope. 8.35 = 2.89^2 <BR>\n" );
document.write( "(f) In your own words, describe the fit of this regression.<BR>\n" );
document.write( "It is not very good as seen in R^2 = 0.202.  Only 20% of the <BR>\n" );
document.write( "variation in Y is explained by the regression equation.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============================================================<BR>\n" );
document.write( "R2 0.202 ; Std. Error 6.816 ;  n 35<BR>\n" );
document.write( "ANOVA table<BR>\n" );
document.write( "Source....... SS... df... MS... F... p-value<BR>\n" );
document.write( "Regression 387.6959 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<BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "Regression output confidence interval<BR>\n" );
document.write( "variables coefficients std. error t (df = 33) p-value 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<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );