document.write( "Question 94361: I need help with two different charts:\r
\n" ); document.write( "\n" ); document.write( "n 1 2 3 4 5
\n" ); document.write( "f(n) 0 4 20 54 112\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n 1 2 3 4 5
\n" ); document.write( "f(n) 2 17 86 275 674\r
\n" ); document.write( "\n" ); document.write( "Need to find degree and equation for the polynomial
\n" ); document.write( "Don't really understand
\n" ); document.write( "Thank you\r
\n" ); document.write( "\n" ); document.write( "LLO
\n" ); document.write( "

Algebra.Com's Answer #68721 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
n 1 2 3 4 5
\n" ); document.write( "f(n) 0 4 20 54 112
\n" ); document.write( "-------
\n" ); document.write( "Its not linear because there is no constant difference in the f(n) line
\n" ); document.write( "Its not exponential because there is no constant ratio between consecutive terms.
\n" ); document.write( "Try a Quadratic Regression test and get: f(n) = 9n^2-26.6n+18.8 with R^2 = 99.9
\n" ); document.write( "which is very high.
\n" ); document.write( "I looked at Cubic and Quartic Regression test and got results that were worse.
\n" ); document.write( "------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n 1 2 3 4 5
\n" ); document.write( "f(n) 2 17 86 275 674
\n" ); document.write( "Need to find degree and equation for the polynomial
\n" ); document.write( "-----------
\n" ); document.write( "Quadratic Regression gives this result:fn)=63.4n^2-220.37n+174.2
\n" ); document.write( "with R^2=0.992
\n" ); document.write( "----------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );