document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189062>Question 189062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question for my statsitics homework, would someone please help me one last time. Thank you.<BR>\n" );
document.write( "I did the chartand found the r, but I am still having trouble with the rest.\r<BR>\n" );
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document.write( "x<BR>\n" );
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document.write( "5<BR>\n" );
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document.write( "7<BR>\n" );
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document.write( "Ex= 46\r<BR>\n" );
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document.write( "y<BR>\n" );
document.write( "62<BR>\n" );
document.write( "69<BR>\n" );
document.write( "76<BR>\n" );
document.write( "83<BR>\n" );
document.write( "74<BR>\n" );
document.write( "91<BR>\n" );
document.write( "59<BR>\n" );
document.write( "94<BR>\n" );
document.write( "73<BR>\n" );
document.write( "Ey= 681\r<BR>\n" );
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document.write( "xy<BR>\n" );
document.write( "248<BR>\n" );
document.write( "345<BR>\n" );
document.write( "380<BR>\n" );
document.write( "498<BR>\n" );
document.write( "296<BR>\n" );
document.write( "637<BR>\n" );
document.write( "177<BR>\n" );
document.write( "752<BR>\n" );
document.write( "292<BR>\n" );
document.write( "Exy=3625\r<BR>\n" );
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document.write( "x2<BR>\n" );
document.write( "16<BR>\n" );
document.write( "25<BR>\n" );
document.write( "25<BR>\n" );
document.write( "36<BR>\n" );
document.write( "16<BR>\n" );
document.write( "49<BR>\n" );
document.write( "9<BR>\n" );
document.write( "64<BR>\n" );
document.write( "16<BR>\n" );
document.write( "Ex2=256\r<BR>\n" );
document.write( "\n" );
document.write( "y2<BR>\n" );
document.write( "3844<BR>\n" );
document.write( "4761<BR>\n" );
document.write( "5776<BR>\n" );
document.write( "6889<BR>\n" );
document.write( "5476<BR>\n" );
document.write( "8281<BR>\n" );
document.write( "3481<BR>\n" );
document.write( "8836<BR>\n" );
document.write( "5329<BR>\n" );
document.write( "Ey2=52,673\r<BR>\n" );
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document.write( "r=  -.0870<BR>\n" );
document.write( "here is my question:<BR>\n" );
document.write( "Using the r calculated, test the significance of the correlation coefficient using alpha = 0.01 and the claim k = 0. Design the test using the 7-steps hypothesis test.  \r<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "1.  H0 : k = 0<BR>\n" );
document.write( "Ha : k<BR>\n" );
document.write( "2.  alpha = 0.01<BR>\n" );
document.write( "3.  Find the test statistic t.<BR>\n" );
document.write( "4.  Find the critical t0 <BR>\n" );
document.write( "5.  Define the rejection region. <BR>\n" );
document.write( "6.  State the statistical decision. <BR>\n" );
document.write( "7.  Application interpretation.\r<BR>\n" );
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document.write( "Once again I would like to thank you for helping me and using your own time . Thank you in advance.\r<BR>\n" );
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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 #141811 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=141811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "I did the chartand found the r, but I am still having trouble with the rest. <BR>\n" );
document.write( "x<BR>\n" );
document.write( "4<BR>\n" );
document.write( "5<BR>\n" );
document.write( "5<BR>\n" );
document.write( "6<BR>\n" );
document.write( "4<BR>\n" );
document.write( "7<BR>\n" );
document.write( "3<BR>\n" );
document.write( "8<BR>\n" );
document.write( "4<BR>\n" );
document.write( "Ex= 46 <BR>\n" );
document.write( "y<BR>\n" );
document.write( "62<BR>\n" );
document.write( "69<BR>\n" );
document.write( "76<BR>\n" );
document.write( "83<BR>\n" );
document.write( "74<BR>\n" );
document.write( "91<BR>\n" );
document.write( "59<BR>\n" );
document.write( "94<BR>\n" );
document.write( "73<BR>\n" );
document.write( "Ey= 681 <BR>\n" );
document.write( "xy<BR>\n" );
document.write( "248<BR>\n" );
document.write( "345<BR>\n" );
document.write( "380<BR>\n" );
document.write( "498<BR>\n" );
document.write( "296<BR>\n" );
document.write( "637<BR>\n" );
document.write( "177<BR>\n" );
document.write( "752<BR>\n" );
document.write( "292<BR>\n" );
document.write( "Exy=3625 <BR>\n" );
document.write( "x2<BR>\n" );
document.write( "16<BR>\n" );
document.write( "25<BR>\n" );
document.write( "25<BR>\n" );
document.write( "36<BR>\n" );
document.write( "16<BR>\n" );
document.write( "49<BR>\n" );
document.write( "9<BR>\n" );
document.write( "64<BR>\n" );
document.write( "16<BR>\n" );
document.write( "Ex2=256 <BR>\n" );
document.write( "y2<BR>\n" );
document.write( "3844<BR>\n" );
document.write( "4761<BR>\n" );
document.write( "5776<BR>\n" );
document.write( "6889<BR>\n" );
document.write( "5476<BR>\n" );
document.write( "8281<BR>\n" );
document.write( "3481<BR>\n" );
document.write( "8836<BR>\n" );
document.write( "5329<BR>\n" );
document.write( "Ey2=52,673 <BR>\n" );
document.write( "r= -.0870<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( "Comment: Running a LinReg Test against the x/y values <BR>\n" );
document.write( "I get r = 0.9337<BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "Here is my question:<BR>\n" );
document.write( "Using the r calculated, test the significance of the correlation coefficient using alpha = 0.01 and the claim k = 0. Design the test using the 7-steps hypothesis test. <BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "1. Ho : k = 0<BR>\n" );
document.write( "Ha : k is not 0<BR>\n" );
document.write( "2. alpha = 0.01<BR>\n" );
document.write( "3. Find the test statistic t.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Comment:In your text (page 492) there are two methods for <BR>\n" );
document.write( "calculating the test statistic.<BR>\n" );
document.write( "t = r*sqrt[(n-2)/(1-r^2)] = = 0.9337*sqrt[7/(1-(0.9337)^2] = 6.8993<BR>\n" );
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document.write( "The 2nd method calculates a critical value for r(alpha) \r<BR>\n" );
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document.write( "--------------------------------------------------------------------<BR>\n" );
document.write( "4. Find the critical when alpha = 1% and df= 7 : to = 3.499\r<BR>\n" );
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document.write( "5. Define the rejection region.: reject Ho if test stat > 3.499<BR>\n" );
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document.write( "6. State the statistical decision.: Since the 6.8993> 3.499, reject Ho<BR>\n" );
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document.write( "7. Application interpretation. There is a correlation between the x and y<BR>\n" );
document.write( "values.<BR>\n" );
document.write( "================================== <BR>\n" );
document.write( "Once again I would like to thank you for helping me and using your own time . Thank you in advance. <BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );