document.write( "Question 965515: Please help me on this math problem. Unfortunately I was not able to include a picture in this submission, so I posted a link to that question below. Just copy and paste the link onto your address bar. Please help me tutors, I'd really appreciate any help! God bless :) \r
\n" );
document.write( "\n" );
document.write( "https://answers.yahoo.com/question/index?qid=20150422153804AACPJzS \n" );
document.write( "
Algebra.Com's Answer #590171 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! We are given the following information \n" ); document.write( "x-axis(People) 2, 1, 5, 6, 4, 1, 2, 5 \n" ); document.write( "y-axis(Bill**) 1, 0.25, 2.5, 3.5, 1.8, 0.45, .75, 3 \n" ); document.write( "*************************************************** \n" ); document.write( "a) the points are graphed with their x, y coordinates, for example \n" ); document.write( "(2, 1) is the first of 8 points \n" ); document.write( "*************************************************** \n" ); document.write( "b) This is a linear regression problem without a y intercept (no x value = 0) \n" ); document.write( "The general form of the equation is y = b*x where \n" ); document.write( "b = (summation from i = 1 to 8 of xi*yi) / (summation from i = 1 to 8 of xi^2) \n" ); document.write( "b = (2×1)+(1×0.25)+(5×2.5)+(6×3.5)+(4×1.8)+(1×0.45)+(2×0.75)+(5×3) / 2²+1²+5²+6²+4²+1²+2²+5² \n" ); document.write( "b = 59.9 / 112 = 0.534821429 \n" ); document.write( "therefore the regression equation is \n" ); document.write( "y = 0.534821429 * x, where * means multiply \n" ); document.write( "*************************************************** \n" ); document.write( "the trend line is a good fit if \n" ); document.write( "1) same number of point above the line as below the line \n" ); document.write( "2) are they evenly distributed \n" ); document.write( "*************************************************** \n" ); document.write( "c) our equation is \n" ); document.write( "y = 0.534821429 * x \n" ); document.write( "we are asked what is x for 150, then y = 150 / 100 = 1.5 \n" ); document.write( "1.5 = 0.534821429 * x \n" ); document.write( "x = 1.5 / 0.534821429 \n" ); document.write( "x = 2.804674457 approx 3 \n" ); document.write( "size of household is 3 people \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |