document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823822>Question 823822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A school administrator wanted to determine the relationship between hours studied by students to the test scores. The following data was gathered. Based on the data, predict the test score if a student studied 4.5 hours.												<BR>\n" );
document.write( "Hours Studied	Test Score<BR>\n" );
document.write( "5.2	              220<BR>\n" );
document.write( "5.5	              227<BR>\n" );
document.write( "6	              259<BR>\n" );
document.write( "5.9	              210<BR>\n" );
document.write( "5.8	              224<BR>\n" );
document.write( "6	              215<BR>\n" );
document.write( "5.8	              231<BR>\n" );
document.write( "5.6	              268<BR>\n" );
document.write( "5.6	              239<BR>\n" );
document.write( "5.9	              212<BR>\n" );
document.write( "5.4	              410<BR>\n" );
document.write( "5.6	              256<BR>\n" );
document.write( "5.8	              306<BR>\n" );
document.write( "5.5	              259<BR>\n" );
document.write( "5.3	              284<BR>\n" );
document.write( "5.3	              383<BR>\n" );
document.write( "5.7	              271<BR>\n" );
document.write( "5.5	              264<BR>\n" );
document.write( "5.7                   227<BR>\n" );
document.write( "5.3	              263<BR>\n" );
document.write( "5.9	              232<BR>\n" );
document.write( "5.8                   220<BR>\n" );
document.write( "5.8	              246<BR>\n" );
document.write( "5.9	              241<BR>\n" );
document.write( "Coefficient  (b1)	-98.94437421	816.8185841   Intercept Coefficient(b0)		<BR>\n" );
document.write( "Standard Error	         38.74829673	219.4387808	Intercept Standard Error		<BR>\n" );
document.write( "R Square	         0.228623432	44.49028967	Standard Error		<BR>\n" );
document.write( "F	                 6.520441133	         22	Residual df		<BR>\n" );
document.write( "Regression MS	         12906.46908	43546.48925	Residual MS		\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495841 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=495841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "perform a linear regression over the sample data:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "5.2	 220<BR>\n" );
document.write( "5.5	 227<BR>\n" );
document.write( "6.0	 259<BR>\n" );
document.write( "5.9	 210<BR>\n" );
document.write( "5.8	 224<BR>\n" );
document.write( "6.0	 215<BR>\n" );
document.write( "5.8	 231<BR>\n" );
document.write( "5.6	 268<BR>\n" );
document.write( "5.6	 239<BR>\n" );
document.write( "5.9	 212<BR>\n" );
document.write( "5.4	 410<BR>\n" );
document.write( "5.6	 256<BR>\n" );
document.write( "5.8	 306<BR>\n" );
document.write( "5.5	 259<BR>\n" );
document.write( "5.3	 284<BR>\n" );
document.write( "5.3	 383<BR>\n" );
document.write( "5.7	 271<BR>\n" );
document.write( "5.5	 264<BR>\n" );
document.write( "5.7      227<BR>\n" );
document.write( "5.3	 263<BR>\n" );
document.write( "5.9	 232<BR>\n" );
document.write( "5.8      220<BR>\n" );
document.write( "5.8	 246<BR>\n" );
document.write( "5.9	 241<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above sample data in to this linear regression solver:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "alpha (y-intercept) = 816.818584<BR>\n" );
document.write( "beta (slope) = -98.9443742<BR>\n" );
document.write( "---<BR>\n" );
document.write( "slope-intercept form of the regression line:<BR>\n" );
document.write( "y(x) = (-98.9443742)x + 816.818584<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "y(4.5) = (-98.9443742)(4.5) + 816.818584<BR>\n" );
document.write( "y(4.5) = 371.5689<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );