document.write( "Question 322183: Determine whether each set of data is linear, quadratic, or neither using finite differences.\r
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document.write( "X Y
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document.write( "0 -1
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document.write( "1 1
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document.write( "2 3
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document.write( "3 5
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document.write( "4 7 \n" );
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Algebra.Com's Answer #230642 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "X Y 1st differences \r\n" ); document.write( "0 -1 \r\n" ); document.write( " 1-(-1)=1+1=2\r\n" ); document.write( "1 1\r\n" ); document.write( " 3-1=2\r\n" ); document.write( "2 3\r\n" ); document.write( " 5-3=2\r\n" ); document.write( "3 5\r\n" ); document.write( " 7-5=2\r\n" ); document.write( "4 7\r\n" ); document.write( "\r\n" ); document.write( "Since the FIRST differences are all the same -- that is, they \r\n" ); document.write( "are all 2's, the data is of a FIRST degree polynomial, which\r\n" ); document.write( "means it is linear, and follows the linear or FIRST DEGREE \r\n" ); document.write( "equation\r\n" ); document.write( "\r\n" ); document.write( "y = 2x - 1\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |