document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088261>Question 1088261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a multiple regression model y' = –11 + 5x1 + 21x2 + 11x3 + 3x4, if the x1 value changes by 2, then the predicted value for y will change by<BR>\n" );
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document.write( "10<BR>\n" );
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document.write( "42<BR>\n" );
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document.write( "–1<BR>\n" );
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document.write( "29<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702499 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=702499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\">y' = –11 + 5x1 + 21x2 + 11x3 + 3x4\r<BR>\n" );
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document.write( "y' = –11 + 5<font color=red>x1</font> + 21x2 + 11x3 + 3x4 ... focus on the <font color=red>x1</font> term\r<BR>\n" );
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document.write( "y' = –11 + 5<font color=red>(x1)</font> + 21x2 + 11x3 + 3x4 ... surround the x1 in parenthesis\r<BR>\n" );
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document.write( "y' = –11 + 5<font color=red>(x1+2)</font> + 21x2 + 11x3 + 3x4 ... Replace <font color=red>x1</font> with <font color=red>x1+2</font> (to indicate a change by 2)\r<BR>\n" );
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document.write( "y' = –11 + 5(x1+2) + 21x2 + 11x3 + 3x4\r<BR>\n" );
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document.write( "y' = –11 + 5x1+5*2 + 21x2 + 11x3 + 3x4\r<BR>\n" );
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document.write( "y' = –11 + 5x1 + 21x2 + 11x3 + 3x4 + 5*2\r<BR>\n" );
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document.write( "y' = –11 + 5x1 + 21x2 + 11x3 + 3x4 + 10\r<BR>\n" );
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document.write( "y' = <font color=blue>–11 + 5x1 + 21x2 + 11x3 + 3x4</font> + 10\r<BR>\n" );
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document.write( "The portion in blue of the equation above represents the old y' value before x1 changed to x1+2. \r<BR>\n" );
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document.write( "Note how we simply add 10 this old y' value to get the new y' value.\r<BR>\n" );
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document.write( "So y' is changing by 10 when x1 changes by 2\r<BR>\n" );
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document.write( "<font color=red>Answer: Choice A) 10</font>\r<BR>\n" );
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