document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051545>Question 1051545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). Data for all 1137 vehicles in the government's 2013 Fuel Economy Guide give the regression line<BR>\n" );
document.write( "highway mpg = 6.785 + (1.033 × city mpg)<BR>\n" );
document.write( "for predicting highway mileage from city mileage.\r<BR>\n" );
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document.write( "a) What is the slope of this line? (Enter your answer to three decimal places.<BR>\n" );
document.write( "b)What is the intercept? (Enter your answer to three decimal places.) <BR>\n" );
document.write( "c)Find the predicted highway mileage for a car that gets 11 miles per gallon in the city. (Round your answer to two decimal places.)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667216 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=667216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:\r<BR>\n" );
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document.write( "highway mpg = 6.785 + 1.033 * city mpg\r<BR>\n" );
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document.write( "the slope would be 1.033.<BR>\n" );
document.write( "the y-intercept would be 6.785\r<BR>\n" );
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document.write( "if you let y = highway mpg and you let x = city mpg, the equation becomes:\r<BR>\n" );
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document.write( "y = 6.785 + 1.033 * x\r<BR>\n" );
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document.write( "if you re-order the terms in descending order of degree, you get:\r<BR>\n" );
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document.write( "y = 1.033 * x + 6.785\r<BR>\n" );
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document.write( "this is the slope intercept form of the equation for a straight line.\r<BR>\n" );
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document.write( "that form is y = mx + b\r<BR>\n" );
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document.write( "m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "when the car gets 11 miles per gallon in the city, x is equal to 11.\r<BR>\n" );
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document.write( "formula becomes y = 1.033 * 11 + 6.785\r<BR>\n" );
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document.write( "solve for y to get y = 18.148 miles per gallon.\r<BR>\n" );
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document.write( "you can graph the equation and find the intersect between the equation and the vertical line of x = 11.\r<BR>\n" );
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document.write( "the intersection should be at y = 18.148.\r<BR>\n" );
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document.write( "the coordinate point should show at (11,18.148).\r<BR>\n" );
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document.write( "here's the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/100702.jpg\" alt=\"$$$\" </><BR>\n" );
document.write( " </SPAN>\n" );
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