document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581280>Question 581280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Budget ($) in millions - Gross($)in millions<BR>\n" );
document.write( ".25 - 12.006<BR>\n" );
document.write( ".325 - 47<BR>\n" );
document.write( "3.9 - 198.571<BR>\n" );
document.write( "6 - 181.28<BR>\n" );
document.write( "6.4 - 36.9<BR>\n" );
document.write( "8 - 107.93<BR>\n" );
document.write( "10 - 138.339<BR>\n" );
document.write( "12 260<BR>\n" );
document.write( "15 - 103.001<BR>\n" );
document.write( "17 - 72.219<BR>\n" );
document.write( "18.5 - 81.843<BR>\n" );
document.write( "20 - 242.374<BR>\n" );
document.write( "22 - 217.631<BR>\n" );
document.write( "25 - 96.067<BR>\n" );
document.write( "35 - 56.876<BR>\n" );
document.write( "39 - 197.171<BR>\n" );
document.write( "45 - 20.1<BR>\n" );
document.write( "50 - 147.54<BR>\n" );
document.write( "50 - 48.265<BR>\n" );
document.write( "55 - 68.75 <BR>\n" );
document.write( "A) BRIEFLY CHARACTERIZE THE CORRELATION COEFFICIENT<BR>\n" );
document.write( "B) THE EQUATION OF THE REGRESSION LINE CALCULATED ON THESE VALUES IS GROSS INCOME= 123.44-.536 BUDGET. USE THE REGRESSION LINE TO PREDICT THE GROSS INCOME FOR A MOVIE WITH BUDGET 30 MILLION DOLLARS<BR>\n" );
document.write( "C) EXPLAIN WHETHER OR NOT YOU THINK THIS IS A REASONABLE PREDICTION. please help me! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371553 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) Your correlation coefficient is so small that there is no correlation (I got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=0.015 ALIGN=MIDDLE  ALT=\"r%5E2=0.015\"   DISABLED_style= \"max-width:90%; height:auto;\" >). Obviously gross income does not depend on budget. In other words, you cannot expect to improve gross income by manipulating budget. Budget seems to have no effect.<BR>\n" );
document.write( "B) The equation predicts that a lower budget movie will produce greater gross income. I got a slightly different regression line, but with x=30 (for a $30,000,000 budget), the equation you have gives you<BR>\n" );
document.write( "y(30)=123.44-0.536(30)=107.36, predicting a gross income of $107,360,000.<BR>\n" );
document.write( "C) Because the correlation coefficient is so small, and the slope is so flat, the regression line has no predictive ability. I don't think anyone would use a trendline with a correlation coefficient of less tan 0.5 to predict anything, and a flat slope says y does not depend on x, anyway. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );