MATLAB: Error from a relationship

linear relationshipmodel error

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Best Answer

Your model is the linear regression of the first 2000 points. To get the model predictions for the rest of the data, ‘plug in’ the values for your independent variable for the rest of your data in your model. The output of your model are the predictions for those values. To get the error, subtract your predictions from the dependent variable data for those same values of the independent variable.
To illustrate:
x = linspace(0,200);                        % Create Data
y1 = 0.5*x(1:50) + 0.1*randn(1,50) + 1.2;     % Create Data To Fit
y2 = 0.6*x(51:100) + 0.1*randn(1,50) + 1.5; % Create Data To Evaluate Error
b = polyfit(x(1:50), y1, 1);                % Parameter Estimates
yfit = polyval(b, x);                       % Predict Entire Data Set
model_error = yfit - [y1 y2];               % Calculate Error
figure(1)
plot(x, [y1 y2], 'xr')
hold on
plot(x, yfit, '-b')
hold off
grid
legend('Data', 'Model Fit', 'Location','SE')
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