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23Size

Leading solution size is 23.
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Test

Code Input and Output

1

Pass

%%% first test: fit to a constant 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)

[Warning: Function /users/msssystem6/assert.m has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In fit_coefficients at 3 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14]

2

Pass

%%% second test: fit to a straight line (linear regression) 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)

[Warning: Function /users/msssystem6/assert.m has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In fit_coefficients at 3 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14]

3

Pass

%%% third test: polynomial fit 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)

[Warning: Function /users/msssystem6/assert.m has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In fit_coefficients at 3 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14]

4

Pass

%%% fourth test: non-polynomial fit (yes, we are that crazy) 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)