Cody

Solution 2094478

Submitted on 16 Jan 2020 by Nico Noordam
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Test Suite

Test Status Code Input and Output
1   Pass
x = [1,2,3,4]'; y = rand(4,1); f{1} = @(x) ones(size(x)); aref=mean(y); assert(norm(fit_coefficients(f,x,y)-aref)<1e-6)

in = 1 1 1 1 int = 1 1 1 1 ans = 0.2777

2   Pass
x = [1,2,3,4,5]' + randn(5,1); y = [1,2,3,4,5]' + randn(5,1); f{1} = @(x) ones(size(x)); f{2} = @(x) x; aref(2) = sum((x-mean(x)).*(y-mean(y)))/sum((x-mean(x)).^2); aref(1) = mean(y)-aref(2)*mean(x); assert(norm(fit_coefficients(f,x,y)-aref')<1e-6)

in = 1 1 1 1 1 in = 1.0000 0.4363 1.0000 1.3741 1.0000 1.8886 1.0000 2.5159 1.0000 3.6432 int = 1.0000 1.0000 1.0000 1.0000 1.0000 0.4363 1.3741 1.8886 2.5159 3.6432 ans = 3.1196 0.0544

3   Pass
x = [1:15]' + randn(15,1); y = -10+0.2*x-0.5*x.^2+0.4*x.^3+0.001*log(abs(x)) + 0.2*randn(15,1); f{1} = @(x) ones(size(x)); f{2} = @(x) x; f{3} = @(x) x.^2; f{4} = @(x) x.^3; aref = fliplr(polyfit(x,y,3)); assert(norm(fit_coefficients(f,x,y)-aref')<1e-6)

in = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 in = 1.0000 1.1506 1.0000 1.2167 1.0000 4.3887 1.0000 4.8986 1.0000 5.8129 1.0000 6.0442 1.0000 7.0647 1.0000 7.9015 1.0000 7.9629 1.0000 8.3276 1.0000 11.8613 1.0000 13.4443 1.0000 12.7704 1.0000 13.3745 1.0000 13.3613 in = 1.0000 1.1506 1.3239 1.0000 1.2167 1.4802 1.0000 4.3887 19.2604 1.0000 4.8986 23.9963 1.0000 5.8129 33.7895 1.0000 6.0442 36.5319 1.0000 7.0647 49.9099 1.0000 7.9015 62.4341 1.0000 7.9629 63.4085 1.0000 8.3276 69.3493 1.0000 11.8613 140.6912 1.0000 13.4443 180.7483 1.0000 12.7704 163.0822 1.0000 13.3745 178.8785 1.0000 13.3613 178.5244 in = 1.0e+03 * 0.0010 0.0012 0.0013 0.0015 0.0010 0.0012 0.0015 0.0018 0.0010 0.0044 0.0193 0.0845 0.0010 0.0049 0.0240 0.1175 0.0010 0.0058 0.0338 0.1964 0.0010 0.0060 0.0365 0.2208 0.0010 0.0071 0.0499 0.3526 0.0010 0.0079 0.0624 0.4933 0.0010 0.0080 0.0634 0.5049 0.0010 0.0083 0.0693 0.5775 0.0010 0.0119 0.1407 1.6688 0.0010 0.0134 0.1807 2.4300 0.0010 0.0128 0.1631 2.0826 0.0010 0.0134 0.1789 2.3924 0.0010 0.0134 0.1785 2.3853 int = 1.0e+03 * 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0012 0.0012 0.0044 0.0049 0.0058 0.0060 0.0071 0.0079 0.0080 0.0083 0.0119 0.0134 0.0128 0.0134 0.0134 0.0013 0.0015 0.0193 0.0240 0.0338 0.0365 0.0499 0.0624 0.0634 0.0693 0.1407 0.1807 0.1631 0.1789 0.1785 0.0015 0.0018 0.0845 0.1175 0.1964 0.2208 0.3526 0.4933 0.5049 0.5775 1.6688 2.4300 2.0826 2.3924 2.3853 ans = -9.9096 0.0773 -0.4755 0.3988

4   Pass
x = [0:0.1:2*pi]'; y = 0.123 + 0.456*sin(x).*exp(0.1*x); f{1} = @(x) ones(size(x)); f{2} = @(x) sin(x).*exp(0.1*x); aref=[0.123 0.456]'; assert(norm(fit_coefficients(f,x,y)-aref)<1e-6)

in = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 in = 1.0000 0 1.0000 0.1008 1.0000 0.2027 1.0000 0.3045 1.0000 0.4053 1.0000 0.5040 1.0000 0.5996 1.0000 0.6909 1.0000 0.7771 1.0000 0.8571 1.0000 0.9300 1.0000 0.9948 1.0000 1.0509 1.0000 1.0973 1.0000 1.1335 1.0000 1.1589 1.0000 1.1730 1.0000 1.1754 1.0000 1.1659 1.0000 1.1443 1.0000 1.1106 1.0000 1.0649 1.0000 1.0074 1.0000 0.9385 1.0000 0.8587 1.0000 0.7685 1.0000 0.6686 1.0000 0.5599 1.0000 0.4432 1.0000 0.3197 1.0000 0.1905 1.0000 0.0567 1.0000 -0.0804 1.0000 -0.2194 1.0000 -0.3590 1.0000 -0.4978 1.0000 -0.6343 1.0000 -0.7671 1.0000 -0.8947 1.0000 -1.0158 1.0000 -1.1290 1.0000 -1.2330 1.0000 -1.3265 1.0000 -1.4084 1.0000 -1.4776 1.0000 -1.5331 1.0000 -1.5741 1.0000 -1.5999 1.0000 -1.6099 1.0000 -1.6037 1.0000 -1.5810 1.0000 -1.5418 1.0000 -1.4860 1.0000 -1.4140 1.0000 -1.3261 1.0000 -1.2229 1.0000 -1.1051 1.0000 -0.9738 1.0000 -0.8298 1.0000 -0.6745 1.0000 -0.5091 1.0000 -0.3353 1.0000 -0.1545 int = Columns 1 through 18 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0 0.1008 0.2027 0.3045 0.4053 0.5040 0.5996 0.6909 0.7771 0.8571 0.9300 0.9948 1.0509 1.0973 1.1335 1.1589 1.1730 1.1754 Columns 19 through 36 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.1659 1.1443 1.1106 1.0649 1.0074 0.9385 0.8587 0.7685 0.6686 0.5599 0.4432 0.3197 0.1905 0.0567 -0.0804 -0.2194 -0.3590 -0.4978 Columns 37 through 54 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 -0.6343 -0.7671 -0.8947 -1.0158 -1.1290 -1.2330 -1.3265 -1.4084 -1.4776 -1.5331 -1.5741 -1.5999 -1.6099 -1.6037 -1.5810 -1.5418 -1.4860 -1.4140 Columns 55 through 63 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 -1.3261 -1.2229 -1.1051 -0.9738 -0.8298 -0.6745 -0.5091 -0.3353 -0.1545 ans = 0.1230 0.4560