document.write( "Question 443701: The data below show the number of years of education for seven parent-child pairs.\r
\n" ); document.write( "\n" ); document.write( "respondent A B C D E F G
\n" ); document.write( "years of education of parent (x) 14 10 7 13 13 9 12
\n" ); document.write( "years of education of child (y) 13 14 7 15 20 6 18\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a) Determine the correlation coefficient
\n" ); document.write( "r=\r
\n" ); document.write( "\n" ); document.write( "b) Find the equation of the regression line, y=mx+b First find the slope,m
\n" ); document.write( "m=\r
\n" ); document.write( "\n" ); document.write( "Now calculate the y-intercept, b, of the regression line.
\n" ); document.write( "b=\r
\n" ); document.write( "\n" ); document.write( "c) Approximate the number of years of education for a child with a parent who has 16 years of education.
\n" ); document.write( "y approximately= \n" ); document.write( "

Algebra.Com's Answer #306069 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi
\n" );
document.write( " x parent  and y child
\n" );
document.write( "x	x^2	y	y^2	xy
\n" );
document.write( "14	196	13	169	182
\n" );
document.write( "10	100	14	196	140
\n" );
document.write( "7	49	7	49	49
\n" );
document.write( "13	169	15	225	195
\n" );
document.write( "13	169	20	400	260
\n" );
document.write( "9	81	6	36	54
\n" );
document.write( "12	144	18	324	216
\n" );
document.write( "78	908	93	1399	1096\r
\n" );
document.write( "\n" );
document.write( "r =  = .7493\r
\n" );
document.write( "\n" );
document.write( "  y = 1.54x -3.84
\n" );
document.write( "parent 16 years of education... the child ~ 21
\n" );
document.write( " \n" );
document.write( "

\n" );