Higher level of difficulty NIST Data Set: MGH09.dat Equation: y = b1*(x^ 2+x*b2) / (x^ 2+x*b3+b4); Param NIST Certified StdDev EoFit Result StdDev b1: 1.9280693458e-001 1.14353122e-002 1.9280693319e-001 1.14353124e-002 b2: 1.9128232873e-001 1.96332209e-001 1.9128231670e-001 1.96332168e-001 b3: 1.2305650693e-001 8.08420312e-002 1.2305648396e-001 8.08420174e-002 b4: 1.3606233068e-001 9.00255423e-002 1.3606232570e-001 9.00255430e-002 Residual Sum Of Squares: Nist: 3.0750560385e-004 EoFit: 3.0750560385e-004 Residual StdDev: Nist: 6.6279236551e-003 EoFit: 6.6279236551e-003 NIST Data Set: Thurber.dat Equation: y = (b1 + b2*x + b3*x^ 2 + b4*x^ 3) / (1 + b5*x + b6*x^ 2 + b7*x^ 3); Param NIST Certified StdDev EoFit Result StdDev b1: 1.2881396800e+003 4.66479633e+000 1.2881396802e+003 4.66479638e+000 b2: 1.4910792535e+003 3.95711561e+001 1.4910792569e+003 3.95711638e+001 b3: 5.8323836877e+002 2.86986961e+001 5.8323837109e+002 2.86987021e+001 b4: 7.5416644291e+001 5.56753703e+000 7.5416644756e+001 5.56753828e+000 b5: 9.6629502864e-001 3.13333407e-002 9.6629503063e-001 3.13333470e-002 b6: 3.9797285797e-001 1.49849282e-002 3.9797285925e-001 1.49849325e-002 b7: 4.9727297349e-002 6.58423446e-003 4.9727298151e-002 6.58423477e-003 Residual Sum Of Squares: Nist: 5.6427082397e+003 EoFit: 5.6427082397e+003 Residual StdDev: Nist: 1.3714600784e+001 EoFit: 1.3714600784e+001 NIST Data Set: BoxBOD.dat Equation: y = b1*(1-exp(-b2*x)); Param NIST Certified StdDev EoFit Result StdDev b1: 2.1380940889e+002 1.23545152e+001 2.1380940909e+002 1.23545152e+001 b2: 5.4723748542e-001 1.04559932e-001 5.4723748355e-001 1.04559932e-001 Residual Sum Of Squares: Nist: 1.1680088766e+003 EoFit: 1.1680088766e+003 Residual StdDev: Nist: 1.7088072423e+001 EoFit: 1.7088072423e+001 NIST Data Set: Rat42.dat Equation: y = b1 / (1+exp(b2-b3*x)); Param NIST Certified StdDev EoFit Result StdDev b1: 7.2462237576e+001 1.73402834e+000 7.2462237601e+001 1.73402830e+000 b2: 2.6180768402e+000 8.82952175e-002 2.6180768430e+000 8.82952227e-002 b3: 6.7359200066e-002 3.44656634e-003 6.7359200059e-002 3.44656642e-003 Residual Sum Of Squares: Nist: 8.0565229338e+000 EoFit: 8.0565229338e+000 Residual StdDev: Nist: 1.1587725499e+000 EoFit: 1.1587725499e+000 NIST Data Set: Rat43.dat Equation: y = b1 / ((1+exp(b2-b3*x))^(1/b4)); Param NIST Certified StdDev EoFit Result StdDev b1: 6.9964151270e+002 1.63022978e+001 6.9964151704e+002 1.63022972e+001 b2: 5.2771253025e+000 2.08287358e+000 5.2771240962e+000 2.08287375e+000 b3: 7.5962938329e-001 1.95661235e-001 7.5962927693e-001 1.95661249e-001 b4: 1.2792483859e+000 6.87619364e-001 1.2792479713e+000 6.87619304e-001 Residual Sum Of Squares: Nist: 8.7864049080e+003 EoFit: 8.7864049080e+003 Residual StdDev: Nist: 2.8262414662e+001 EoFit: 2.8262414662e+001 NIST Data Set: MGH10.dat Equation: y = b1 * exp(b2/(x+b3)); Param NIST Certified StdDev EoFit Result StdDev b1: 5.6096364710e-003 1.56878925e-004 5.6096364235e-003 1.57168227e-004 b2: 6.1813463463e+003 2.33090211e+001 6.1813463533e+003 2.33674943e+001 b3: 3.4522363462e+002 7.84861035e-001 3.4522363486e+002 7.89072185e-001 Residual Sum Of Squares: Nist: 8.7945855171e+001 EoFit: 8.7945855171e+001 Residual StdDev: Nist: 2.6009740065e+000 EoFit: 2.6009740065e+000 NIST Data Set: Eckerle4.dat Equation: y = (b1/b2) * exp(-0.5*((x-b3)/b2)^2); Param NIST Certified StdDev EoFit Result StdDev b1: 1.5543827178e+000 1.54080512e-002 1.5543827182e+000 1.54080513e-002 b2: 4.0888321754e+000 4.68030208e-002 4.0888321776e+000 4.68030225e-002 b3: 4.5154121844e+002 4.68005188e-002 4.5154121844e+002 4.68005189e-002 Residual Sum Of Squares: Nist: 1.4635887487e-003 EoFit: 1.4635887487e-003 Residual StdDev: Nist: 6.7629245447e-003 EoFit: 6.7629245447e-003 NIST Data Set: Bennett5.dat Equation: y = b1 * (b2+x)^(-1/b3); Param NIST Certified StdDev EoFit Result StdDev b1: -2.5235058043e+003 2.97151754e+002 -2.5235361977e+003 2.97817081e+002 b2: 4.6736564644e+001 1.24488719e+000 4.6736691971e+001 1.24806619e+000 b3: 9.3218483193e-001 2.02722994e-002 9.3218275847e-001 2.03137517e-002 Residual Sum Of Squares: Nist: 5.2404744073e-004 EoFit: 5.2404744076e-004 Residual StdDev: Nist: 1.8629312528e-003 EoFit: 1.8629312528e-003 Average level of difficulty NIST Data Set: Kirby2.dat Equation: y = (b1 + b2*x + b3*x^2) / (1 + b4*x + b5*x^2); Param NIST Certified StdDev EoFit Result StdDev b1: 1.6745063063e+000 8.79896343e-002 1.6745061730e+000 8.79896337e-002 b2: -1.3927397867e-001 4.11820414e-003 -1.3927397327e-001 4.11820418e-003 b3: 2.5961181191e-003 4.18565205e-005 2.5961180721e-003 4.18565222e-005 b4: -1.7241811870e-003 5.89318974e-005 -1.7241812270e-003 5.89319046e-005 b5: 2.1664802578e-005 2.01297619e-007 2.1664802325e-005 2.01297617e-007 Residual Sum Of Squares: Nist: 3.9050739624e+000 EoFit: 3.9050739624e+000 Residual StdDev: Nist: 1.6354535131e-001 EoFit: 1.6354535131e-001 NIST Data Set: Hahn1.dat Equation: y = (b1 + b2*x + b3*x^2 + b4*x^3) / (1 + b5*x + b6*x^2 + b7*x^3); Param NIST Certified StdDev EoFit Result StdDev b1: 1.0776351733e+000 1.70701547e-001 1.0776344815e+000 2.48225424e-001 b2: -1.2269296921e-001 1.20002892e-002 -1.2269292205e-001 1.97840232e-002 b3: 4.0863750610e-003 2.25083149e-004 4.0863742407e-003 4.16316371e-004 b4: -1.4262662514e-006 2.75780377e-007 -1.4262655712e-006 2.82352673e-008 b5: -5.7609940901e-003 2.47128882e-004 -5.7609938072e-003 9.79206737e-004 b6: 2.4053735503e-004 1.04493738e-005 2.4053731549e-004 9.24237037e-006 b7: -1.2314450199e-007 1.30273353e-008 -1.2314446641e-007 8.38009787e-008 Residual Sum Of Squares: Nist: 1.5324382854e+000 EoFit: 1.5324382854e+000 Residual StdDev: Nist: 8.1803852243e-002 EoFit: 8.1803852243e-002 NIST Data Set: Nelson.dat Equation: y = b1 - b2*x1 * exp(-b3*x2); Param NIST Certified StdDev EoFit Result StdDev b1: 2.5906836021e+000 1.91499964e-002 2.5906836225e+000 1.91501112e-002 b2: 5.6177717026e-009 6.11240965e-009 5.6177862088e-009 6.11678481e-009 b3: -5.7701013174e-002 3.95723665e-003 -5.7701003783e-002 3.96320126e-003 Residual Sum Of Squares: Nist: 3.7976833176e+000 EoFit: 3.7976833176e+000 Residual StdDev: Nist: 1.7430280130e-001 EoFit: 1.7430280130e-001 NIST Data Set: MGH17.dat Equation: y = b1 + b2*exp(-x*b4) + b3*exp(-x*b5); Param NIST Certified StdDev EoFit Result StdDev b1: 3.7541005211e-001 2.07231536e-003 3.7541004571e-001 2.07231673e-003 b2: 1.9358469127e+000 2.20316692e-001 1.9358461063e+000 2.20316582e-001 b3: -1.4646871366e+000 2.21757077e-001 -1.4646863259e+000 2.21756968e-001 b4: 1.2867534640e-002 4.48613581e-004 1.2867533033e-002 4.48613732e-004 b5: 2.2122699662e-002 8.94719966e-004 2.2122702982e-002 8.94720732e-004 Residual Sum Of Squares: Nist: 5.4648946975e-005 EoFit: 5.4648946975e-005 Residual StdDev: Nist: 1.3970497866e-003 EoFit: 1.3970497866e-003 NIST Data Set: Lanczos1.dat Equation: y = b1*exp(-b2*x) + b3*exp(-b4*x) + b5*exp(-b6*x); Param NIST Certified StdDev EoFit Result StdDev b1: 9.5100000027e-002 5.33473042e-011 9.5100000028e-002 5.33888787e-011 b2: 1.0000000001e+000 2.74730382e-010 1.0000000001e+000 2.74944247e-010 b3: 8.6070000013e-001 1.35760622e-010 8.6070000014e-001 1.35867357e-010 b4: 3.0000000002e+000 3.33082531e-010 3.0000000002e+000 3.33343123e-010 b5: 1.5575999998e+000 1.88157314e-010 1.5575999998e+000 1.88304929e-010 b6: 5.0000000001e+000 1.10575005e-010 5.0000000001e+000 1.10661952e-010 Residual Sum Of Squares: Nist: 1.4307867721e-025 EoFit: 1.4329520047e-025 Residual StdDev: Nist: 8.9156129349e-014 EoFit: 8.9223564548e-014 Syntax: NIST Reads NIST file, performs fit, and reports comparison with NIST certified values. NIST Data Set: Gauss3.dat Equation: y = b1*exp( -b2*x ) + b3*exp( -(x-b4)^2 / b5^2 ) + b6*exp( -(x-b7)^2 / b8^ 2 ); Param NIST Certified StdDev EoFit Result StdDev b1: 9.8940368970e+001 5.30051928e-001 9.8940368994e+001 5.30051932e-001 b2: 1.0945879335e-002 1.25540589e-004 1.0945879336e-002 1.25540591e-004 b3: 1.0069553078e+002 8.12565873e-001 1.0069553077e+002 8.12565951e-001 b4: 1.1163619459e+002 3.53178598e-001 1.1163619455e+002 3.53178595e-001 b5: 2.3300500029e+001 3.65847830e-001 2.3300499970e+001 3.65847805e-001 b6: 7.3705031418e+001 1.20912391e+000 7.3705031578e+001 1.20912377e+000 b7: 1.4776164251e+002 4.04881834e-001 1.4776164246e+002 4.04881830e-001 b8: 1.9668221230e+001 3.78066343e-001 1.9668221261e+001 3.78066379e-001 Residual Sum Of Squares: Nist: 1.2444846360e+003 EoFit: 1.2444846360e+003 Residual StdDev: Nist: 2.2677077625e+000 EoFit: 2.2677077625e+000 NIST Data Set: Misra1c.dat Equation: y = b1 * (1-(1+2*b2*x)^(-.5)); Param NIST Certified StdDev EoFit Result StdDev b1: 6.3642725809e+002 4.66383266e+000 6.3642725276e+002 4.66383027e+000 b2: 2.0813627256e-004 1.77284232e-006 2.0813627459e-004 1.77284140e-006 Residual Sum Of Squares: Nist: 4.0966836971e-002 EoFit: 4.0966836971e-002 Residual StdDev: Nist: 5.8428615257e-002 EoFit: 5.8428615257e-002 NIST Data Set: Misra1d.dat Equation: y = b1*b2*x*((1+b2*x)^(-1)); Param NIST Certified StdDev EoFit Result StdDev b1: 4.3736970754e+002 3.64891743e+000 4.3736970786e+002 3.64891748e+000 b2: 3.0227324449e-004 2.93343545e-006 3.0227324424e-004 2.93343545e-006 Residual Sum Of Squares: Nist: 5.6419295283e-002 EoFit: 5.6419295283e-002 Residual StdDev: Nist: 6.8568272111e-002 EoFit: 6.8568272111e-002 NIST Data Set: Roszman1.dat Equation: pi = 3.141592653589793238462643383279E0; y = b1 - b2*x - atan(b3/(x-b4))/pi; Param NIST Certified StdDev EoFit Result StdDev b1: 2.0196866396e-001 1.91726660e-002 2.0196868395e-001 1.91738167e-002 b2: -6.1953516256e-006 3.20589317e-006 -6.1953549966e-006 3.20602532e-006 b3: 1.2044556708e+003 7.40509831e+001 1.2044556062e+003 7.40578355e+001 b4: -1.8134269537e+002 4.95735138e+001 -1.8134264174e+002 4.95774266e+001 Residual Sum Of Squares: Nist: 4.9484847331e-004 EoFit: 4.9484847331e-004 Residual StdDev: Nist: 4.8542984060e-003 EoFit: 4.8542984060e-003 NIST Data Set: ENSO.dat Equation: pi = 3.141592653589793238462643383279E0; y = b1 + b2*cos( 2*pi*x/12 ) + b3*sin( 2*pi*x/12 ) + b5*cos( 2*pi*x/b4 ) + b6*sin( 2*pi*x/b4 ) + b8*cos( 2*pi*x/b7 ) + b9*sin( 2*pi*x/b7 ); Param NIST Certified StdDev EoFit Result StdDev b1: 1.0510749193e+001 1.74888325e-001 1.0510749103e+001 1.74888323e-001 b2: 3.0762128085e+000 2.43100521e-001 3.0762128168e+000 2.43100523e-001 b3: 5.3280138227e-001 2.43546866e-001 5.3280140877e-001 2.43546868e-001 b4: 4.4311088700e+001 9.44080260e-001 4.4311090985e+001 9.44080331e-001 b5: -1.6231428586e+000 2.80783696e-001 -1.6231425703e+000 2.80783783e-001 b6: 5.2554493756e-001 4.80737011e-001 5.2554590057e-001 4.80736937e-001 b7: 2.6887614440e+001 4.16129391e-001 2.6887614043e+001 4.16129378e-001 b8: 2.1232288488e-001 5.14600229e-001 2.1232262387e-001 5.14600221e-001 b9: 1.4966870418e+000 2.54344689e-001 1.4966870465e+000 2.54344648e-001 Residual Sum Of Squares: Nist: 7.8853978668e+002 EoFit: 7.8853978668e+002 Residual StdDev: Nist: 2.2269642403e+000 EoFit: 2.2269642403e+000 Lower level of difficulty NIST Data Set: Misra1a.dat Equation: y = b1*(1-exp(-b2*x)); Param NIST Certified StdDev EoFit Result StdDev b1: 2.3894212918e+002 2.70700752e+000 2.3894212902e+002 2.70700702e+000 b2: 5.5015643181e-004 7.26686884e-006 5.5015643224e-004 7.26686752e-006 Residual Sum Of Squares: Nist: 1.2455138894e-001 EoFit: 1.2455138894e-001 Residual StdDev: Nist: 1.0187876330e-001 EoFit: 1.0187876330e-001 NIST Data Set: Misra1b.dat Equation: y = b1 * (1-(1+b2*x/2)^(-2)); Param NIST Certified StdDev EoFit Result StdDev b1: 3.3799746163e+002 3.16439502e+000 3.3799746100e+002 3.16439645e+000 b2: 3.9039091287e-004 4.25473218e-006 3.9039091372e-004 4.25473417e-006 Residual Sum Of Squares: Nist: 7.5464681533e-002 EoFit: 7.5464681533e-002 Residual StdDev: Nist: 7.9301471998e-002 EoFit: 7.9301471998e-002 NIST Data Set: Chwirut1.dat Equation: y = exp(-b1*x)/(b2+b3*x); Param NIST Certified StdDev EoFit Result StdDev b1: 1.9027818370e-001 2.19385570e-002 1.9027818844e-001 2.19385584e-002 b2: 6.1314004477e-003 3.45000251e-004 6.1314005028e-003 3.45000274e-004 b3: 1.0530908399e-002 7.92818477e-004 1.0530908266e-002 7.92818540e-004 Residual Sum Of Squares: Nist: 2.3844771393e+003 EoFit: 2.3844771393e+003 Residual StdDev: Nist: 3.3616721320e+000 EoFit: 3.3616721320e+000 NIST Data Set: Chwirut2.dat Equation: y = exp(-b1*x)/(b2+b3*x); Param NIST Certified StdDev EoFit Result StdDev b1: 1.6657666537e-001 3.83032868e-002 1.6657655489e-001 3.83032780e-002 b2: 5.1653291286e-003 6.66216051e-004 5.1653276025e-003 6.66216125e-004 b3: 1.2150007096e-002 1.53042348e-003 1.2150011107e-002 1.53042356e-003 Residual Sum Of Squares: Nist: 5.1304802941e+002 EoFit: 5.1304802941e+002 Residual StdDev: Nist: 3.1717133040e+000 EoFit: 3.1717133040e+000 NIST Data Set: Lanczos3.dat Equation: y = b1*exp(-b2*x) + b3*exp(-b4*x) + b5*exp(-b6*x); Param NIST Certified StdDev EoFit Result StdDev b1: 8.6816414977e-002 1.71979089e-002 8.6816446894e-002 1.71983493e-002 b2: 9.5498101505e-001 9.70416245e-002 9.5498118637e-001 9.70440195e-002 b3: 8.4400777463e-001 4.14886633e-002 8.4400787779e-001 4.14898640e-002 b4: 2.9515951832e+000 1.07663125e-001 2.9515954129e+000 1.07666056e-001 b5: 1.5825685901e+000 5.83715763e-002 1.5825684551e+000 5.83732265e-002 b6: 4.9863565084e+000 3.44364030e-002 4.9863565923e+000 3.44373852e-002 Residual Sum Of Squares: Nist: 1.6117193594e-008 EoFit: 1.6117193594e-008 Residual StdDev: Nist: 2.9923229172e-005 EoFit: 2.9923229172e-005 NIST Data Set: Gauss1.dat Equation: y = b1*exp( -b2*x ) + b3*exp( -(x-b4)^2 / b5^2 ) + b6*exp( -(x-b7)^2 / b8^2 ); Param NIST Certified StdDev EoFit Result StdDev b1: 9.8778210871e+001 5.75273127e-001 9.8778210645e+001 5.75273131e-001 b2: 1.0497276517e-002 1.14062890e-004 1.0497276494e-002 1.14062893e-004 b3: 1.0048990633e+002 5.88317758e-001 1.0048990622e+002 5.88317757e-001 b4: 6.7481111276e+001 1.04605934e-001 6.7481111230e+001 1.04605934e-001 b5: 2.3129773360e+001 1.74399511e-001 2.3129773436e+001 1.74399513e-001 b6: 7.1994503004e+001 6.26227939e-001 7.1994502984e+001 6.26227935e-001 b7: 1.7899805021e+002 1.24369882e-001 1.7899805021e+002 1.24369882e-001 b8: 1.8389389025e+001 2.01343128e-001 1.8389389015e+001 2.01343130e-001 Residual Sum Of Squares: Nist: 1.3158222432e+003 EoFit: 1.3158222432e+003 Residual StdDev: Nist: 2.3317980180e+000 EoFit: 2.3317980180e+000 NIST Data Set: Gauss2.dat Equation: y = b1*exp( -b2*x ) + b3*exp( -(x-b4)^2 / b5^2 ) + b6*exp( -(x-b7)^2 / b8^2 ); Param NIST Certified StdDev EoFit Result StdDev b1: 9.9018328406e+001 5.37487669e-001 9.9018328424e+001 5.37487673e-001 b2: 1.0994945399e-002 1.33353068e-004 1.0994945406e-002 1.33353070e-004 b3: 1.0188022528e+002 5.92173158e-001 1.0188022529e+002 5.92173150e-001 b4: 1.0703095519e+002 1.50067983e-001 1.0703095517e+002 1.50067984e-001 b5: 2.3578584029e+001 2.26955951e-001 2.3578584018e+001 2.26955948e-001 b6: 7.2045589471e+001 6.17219659e-001 7.2045589403e+001 6.17219653e-001 b7: 1.5327010194e+002 1.94666743e-001 1.5327010195e+002 1.94666746e-001 b8: 1.9525972636e+001 2.64165494e-001 1.9525972696e+001 2.64165510e-001 Residual Sum Of Squares: Nist: 1.2475282092e+003 EoFit: 1.2475282092e+003 Residual StdDev: Nist: 2.2704790782e+000 EoFit: 2.2704790782e+000 NIST Data Set: DanWood.dat Equation: y = b1*x^b2; Param NIST Certified StdDev EoFit Result StdDev b1: 7.6886226176e-001 1.82819739e-002 7.6886226068e-001 1.82819736e-002 b2: 3.8604055871e+000 5.17266109e-002 3.8604055900e+000 5.17266092e-002 Residual Sum Of Squares: Nist: 4.3173084083e-003 EoFit: 4.3173084083e-003 Residual StdDev: Nist: 3.2853114039e-002 EoFit: 3.2853114039e-002
Manufacturer: Effective Objects
Availability: In stock! Ships within 48 hours. Allow additional time for the shipping method selected.
