nag_1d_cheb_fit (e02adc) Example Program Results Degree 0 R.M.S. residual = 4.07e+00 J Chebyshev coeff A(J) 1 12.1740 Degree 1 R.M.S. residual = 4.28e+00 J Chebyshev coeff A(J) 1 12.2954 2 0.2740 Degree 2 R.M.S. residual = 1.69e+00 J Chebyshev coeff A(J) 1 20.7345 2 6.2016 3 8.1876 Degree 3 R.M.S. residual = 6.82e-02 J Chebyshev coeff A(J) 1 24.1429 2 9.4065 3 10.8400 4 3.0589 Polynomial approximation and residuals for degree 3 R Abscissa Weight Ordinate Polynomial Residual 1 1.0000 1.0000 10.4000 10.4461 4.61e-02 1.5500 9.3106 2 2.1000 1.0000 7.9000 7.7977 -1.02e-01 2.6000 6.2555 3 3.1000 1.0000 4.7000 4.7025 2.52e-03 3.5000 3.5488 4 3.9000 1.0000 2.5000 2.5533 5.33e-02 4.4000 1.6435 5 4.9000 1.0000 1.2000 1.2390 3.90e-02 5.3500 1.4257 6 5.8000 0.8000 2.2000 2.2425 4.25e-02 6.1500 3.3803 7 6.5000 0.8000 5.1000 5.0116 -8.84e-02 6.8000 6.8400 8 7.1000 0.7000 9.2000 9.0982 -1.02e-01 7.4500 12.3171 9 7.8000 0.5000 16.1000 16.2123 1.12e-01 8.1000 20.1266 10 8.4000 0.3000 24.5000 24.6048 1.05e-01 8.7000 29.6779 11 9.0000 0.2000 35.3000 35.3769 7.69e-02