document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188967>Question 1188967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For 10 observations on price (X) and supply (Y) the following data were<BR>\n" );
document.write( "obtained (in appropriate units):<BR>\n" );
document.write( "∑X = 130, ∑Y = 220, ∑X\r<BR>\n" );
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document.write( "2 = 2288, ∑Y\r<BR>\n" );
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document.write( "2 = 5506 and ∑XY = 3467.\r<BR>\n" );
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document.write( "Obtain the line of regression of Y on X and estimate the supply when the price is 16<BR>\n" );
document.write( "units, and find out the standard error of the estimate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820587 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=820587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i will attempt to answer most of this, if not all.\r<BR>\n" );
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document.write( "you are given:\r<BR>\n" );
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document.write( "sum(x) = 130<BR>\n" );
document.write( "sum(y) = 220<BR>\n" );
document.write( "sum(x^2) = 2288<BR>\n" );
document.write( "sum(y^2) = 5506<BR>\n" );
document.write( "sum(xy) = 3467\r<BR>\n" );
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document.write( "the regression equation is y = a + b * x\r<BR>\n" );
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document.write( "there are formulas to derive a and b.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "a = (sum(y)*sum(x^2)-sum(x)*sum(xy))/(n*sum(x^2)-sum(x)^2)\r<BR>\n" );
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document.write( "b = (n*sum(xy)-sum(x)*sum(y))/(n*sum(x^2)-sum(x)^2)\r<BR>\n" );
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document.write( "n is the number of (x,y) data points in the data set.\r<BR>\n" );
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document.write( "your solution is that the line of regression is equal to:\r<BR>\n" );
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document.write( "y = 8.804347826 + 1.015050167 * x\r<BR>\n" );
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document.write( "when x is equal to 16, y is equal to 25.0451505.\r<BR>\n" );
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document.write( "here's a reference on the formulas used to get y = a + b * x regression equation.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://byjus.com/maths/linear-regression/\" target = \"_blank\">https://byjus.com/maths/linear-regression/</a>\r<BR>\n" );
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document.write( "i had some difficulty understanding how to derive the standard error.<BR>\n" );
document.write( "i will look at that again to see if it can be derived from the data presented.<BR>\n" );
document.write( "i will do that by tomorrow morning or the next morning after that.<BR>\n" );
document.write( "stay tuned.\r<BR>\n" );
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document.write( "please send reply with your email so i can let you know when i have the answer.<BR>\n" );
document.write( "just a reply through algebra.com should be enough.\r<BR>\n" );
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document.write( "theo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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