document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739859>Question 739859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a multiple regression model y' = –13 + 4x1 + 22x2 + 14x3 + 3x4, if the x1 value changes by 2, then the predicted value for y will change by?\r<BR>\n" );
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document.write( "I am having a lot of problems with a few different types of these problems. It would really help if you could offer an explanation on how to solve it so I could try the other ones on my own. My teacher wasn't very helpful. Thanks! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451361 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=451361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y' = –13 + 4x1 + 22x2 + 14x3 + 3x4\r<BR>\n" );
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document.write( "z' = –13 + 4(x1+2) + 22x2 + 14x3 + 3x4 ... replace x1 with x1+2, replace y' with z'\r<BR>\n" );
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document.write( "z' = –13 + 4x1+8 + 22x2 + 14x3 + 3x4\r<BR>\n" );
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document.write( "z' = –13 + 4x1 + 22x2 + 14x3 + 3x4 + 8\r<BR>\n" );
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document.write( "z' = (–13 + 4x1 + 22x2 + 14x3 + 3x4) + 8\r<BR>\n" );
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document.write( "z' = (y') + 8\r<BR>\n" );
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document.write( "z' = y' + 8\r<BR>\n" );
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document.write( "So this shows you that y' increases by 8 (to get z')\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "If x1 increases by 2, then y' increases by 8\r<BR>\n" );
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document.write( "Similarly, if x1 decreases by 2, then y' decreases by 8\r<BR>\n" );
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document.write( "So overall, if x1 changes by 2, then <font color=\"red\">y' changes by 8</font>\r<BR>\n" );
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document.write( "Note: all other input variables are assumed to be fixed. <BR>\n" );
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