document.write( "Question 43456: Use the line of best fit for the set of data below to approximate the value of y when x = 4.
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document.write( "x -2 -1 0 1 2
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document.write( "y 7 6 3 2 0 \r
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document.write( " a. y = -3.6
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document.write( " b. -0.22
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document.write( " c. 10.8
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document.write( " d. -10.8
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document.write( " e. None of the others \n" );
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Algebra.Com's Answer #28596 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! x y (x-xavg)^2 (y-yavg)^2 (x-x')(y-y') \n" ); document.write( " -2 7 4 11.56 -6.8 \n" ); document.write( " -1 6 1 5.76 -2.4 \n" ); document.write( " 0 3 0 0.36 0 \n" ); document.write( " \n" ); document.write( " 1 2 1 2.56 -1.6 \n" ); document.write( " 2 0 4 12.96 -7.2 \n" ); document.write( "total 0 18 10 33.2 -18 \n" ); document.write( "average 0 3.6 2 6.64 -3.6 \n" ); document.write( "r.m.s.devn. 1.414213562 2.576819745 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "xavg=x'=0 yavg=y'=3.6 sigmax=sx=1.414 sigmay=sy=2.577 \n" ); document.write( "r=-3.6/(sx*sy)= -0.987958433 \n" ); document.write( "line of best fit is \n" ); document.write( "y-y'=(r*sy/sx)(x-x') \n" ); document.write( "y-3.6=(-0.98796*2.577/1.414)(x-0) \n" ); document.write( "y-3.6=-1.8x \n" ); document.write( "y+1.8x-3.6=0 \n" ); document.write( "at x=4…we get…y=-3.6 \n" ); document.write( "A IS THE ANSWER \n" ); document.write( " |