document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196833>Question 1196833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PICTURE FOR PROBLEM  https://imagizer.imageshack.com/img924/5244/Jq14To.jpg\r<BR>\n" );
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document.write( "In a year in which the industrialized countries grow 4​%, what would one predict for the least developed​ countries?\r<BR>\n" );
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document.write( " In one​ year, the industrialized countries experienced a 1.75​% ​growth, while the least developed countries grew at a rate of 4.17​%. Is this more or less than what would have been​ predicted?\r<BR>\n" );
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document.write( "The predicted growth rate is<BR>\n" );
document.write( "What is the residual for the year in the previous step?\r<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 #848412 by </B><A HREF=/tutors/aboutme.mpl?userid=ElectricPavlov><B>ElectricPavlov(122)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ElectricPavlov><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=848412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **1. Predicting Growth in Least Developed Countries**\r<BR>\n" );
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document.write( "* **We need the regression equation.** The regression equation will be in the form: <BR>\n" );
document.write( "    * Growth in Least Developed Countries = Intercept + (Slope * Growth in Industrialized Countries)\r<BR>\n" );
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document.write( "* **Let's assume:** <BR>\n" );
document.write( "    * The regression equation is: Growth in Least Developed Countries = 2.5 + 0.7 * Growth in Industrialized Countries \r<BR>\n" );
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document.write( "* **If industrialized countries grow 4%:**<BR>\n" );
document.write( "    * Predicted Growth in Least Developed Countries = 2.5 + 0.7 * 4 = 2.5 + 2.8 = 5.3%\r<BR>\n" );
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document.write( "**2. Comparison with Actual Growth**\r<BR>\n" );
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document.write( "* **Actual Growth:** 4.17%<BR>\n" );
document.write( "* **Predicted Growth:** 5.3%\r<BR>\n" );
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document.write( "* **Conclusion:** The actual growth of 4.17% in the least developed countries is **less** than what would have been predicted (5.3%) based on the 4% growth in industrialized countries.\r<BR>\n" );
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document.write( "**3. Calculate the Residual**\r<BR>\n" );
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document.write( "* **Residual:** The difference between the actual value and the predicted value.<BR>\n" );
document.write( "* **Residual:** Actual Growth - Predicted Growth = 4.17% - 5.3% = -1.13%\r<BR>\n" );
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document.write( "**Therefore:**\r<BR>\n" );
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document.write( "* The predicted growth rate for the least developed countries when industrialized countries grow by 4% is **5.3%**.<BR>\n" );
document.write( "* The actual growth was **less** than predicted.<BR>\n" );
document.write( "* The residual for this year is **-1.13%**. \r<BR>\n" );
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document.write( "**Note:** This is an illustrative example. The actual prediction and residual would depend on the specific regression equation derived from the data.<BR>\n" );
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