document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190695>Question 1190695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thank you for helping me!<BR>\n" );
document.write( "I need to make a scatter plot of the data and find the equation of the best fitting line, and approximate the value of y for x = 3.<BR>\n" );
document.write( "x= -1, 0, 1 , 2, 4<BR>\n" );
document.write( "y = 3,3,1,0,-3\r<BR>\n" );
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document.write( "I plotted the graph but I don't know how to do the rest, thank you very much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822412 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=822412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Here's the original table<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >x</TD><TD >y</TD></tr><tr><TD >-1</TD><TD >3</TD></tr><tr><TD >0</TD><TD >3</TD></tr><tr><TD >1</TD><TD >1</TD></tr><tr><TD >2</TD><TD >0</TD></tr><tr><TD >4</TD><TD >-3</TD></tr>\n" );
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document.write( "Form the column of xy values by multiplying each x and y number for each separate row. <BR>\n" );
document.write( "Example: Row 1 has x*y = -1*3 = -3<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >x</TD><TD >y</TD><TD >xy</TD></tr><tr><TD >-1</TD><TD >3</TD><TD >-3</TD></tr><tr><TD >0</TD><TD >3</TD><TD >0</TD></tr><tr><TD >1</TD><TD >1</TD><TD >1</TD></tr><tr><TD >2</TD><TD >0</TD><TD >0</TD></tr><tr><TD >4</TD><TD >-3</TD><TD >-12</TD></tr>\n" );
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document.write( "Now compute the column of x^2 values<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >x</TD><TD >y</TD><TD >xy</TD><TD >x^2</TD></tr><tr><TD >-1</TD><TD >3</TD><TD >-3</TD><TD >1</TD></tr><tr><TD >0</TD><TD >3</TD><TD >0</TD><TD >0</TD></tr><tr><TD >1</TD><TD >1</TD><TD >1</TD><TD >1</TD></tr><tr><TD >2</TD><TD >0</TD><TD >0</TD><TD >4</TD></tr><tr><TD >4</TD><TD >-3</TD><TD >-12</TD><TD >16</TD></tr>\n" );
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document.write( "We'll get the sum of each column<BR>\n" );
document.write( "A = sum of the x values = -1+0+1+2+4 = 6<BR>\n" );
document.write( "B = sum of the y values = 3+3+1+0+(-3) = 4<BR>\n" );
document.write( "C = sum of the xy values = -3+0+1+0+(-12) = -14<BR>\n" );
document.write( "D = sum of the x^2 values = 1+0+1+4+16 = 22\r<BR>\n" );
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document.write( "Then we can compute the slope m based on those values computed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28C%2An+-+A%2AB%29%2F%28D%2An+-+A%5E2%29 ALIGN=MIDDLE  ALT=\"m+=+%28C%2An+-+A%2AB%29%2F%28D%2An+-+A%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where n is the number of points<BR>\n" );
document.write( "In this case, n = 5\r<BR>\n" );
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document.write( "So the slope is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28C%2An+-+A%2AB%29%2F%28D%2An+-+A%5E2%29 ALIGN=MIDDLE  ALT=\"m+=+%28C%2An+-+A%2AB%29%2F%28D%2An+-+A%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-14%2A5+-+6%2A4%29%2F%2822%2A5+-+6%5E2%29 ALIGN=MIDDLE  ALT=\"m+=+%28-14%2A5+-+6%2A4%29%2F%2822%2A5+-+6%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-1.27027 ALIGN=MIDDLE  ALT=\"m+=+-1.27027\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately\r<BR>\n" );
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document.write( "And the y intercept b is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%28B-m%2AA%29%2Fn ALIGN=MIDDLE  ALT=\"b+=+%28B-m%2AA%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%284-%28-1.27027%29%2A6%29%2F5 ALIGN=MIDDLE  ALT=\"b+=+%284-%28-1.27027%29%2A6%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+2.324324 ALIGN=MIDDLE  ALT=\"b+=+2.324324\"   DISABLED_style= \"max-width:90%; height:auto;\" > also approximate.\r<BR>\n" );
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document.write( "The regression line is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-1.27027x+%2B+2.324324 ALIGN=MIDDLE  ALT=\"y+=+-1.27027x+%2B+2.324324\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For larger data sets, I recommend using a calculator to make quick work of finding the regression line. Also, they are handy to check your answer.\r<BR>\n" );
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document.write( "I'll let you plug in x = 3 to find the corresponding y estimate value.<BR>\n" );
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