%% Regression Model with MA Errors
% This example shows how to plot a regression model with MA errors.
% Specify the regression model with MA(10) errors:
% \begin{array}{l}{y_t} = 2 + {X_t}\left[ \begin{array}{l}5\\ - 1\end{array} \right] + {u_t}\\{u_t} = {\varepsilon _t} + 0.5{\varepsilon _{t - 2}} - 0.4{\varepsilon _{t - 4}} - 0.3{\varepsilon _{t - 6}} + 0.2{\varepsilon _{t - 8}} - 0.1{\varepsilon _{t - 10}}.\end{array}

Mdl = regARIMA('Intercept',2,'Beta',[5; -1],...
    'MA',{0.5,-0.4,-0.3,0.2,-0.1},'MALags',[2 4 6 8 10])

% The dynamic multipliers are absolutely summable because the moving average component is invertible. Therefore, Mdl is stationary.
% You do not need to specify the innovation variance.
%
% Plot the impulse response function for 10 responses.

impulse(Mdl,10)

% The impulse response of an MA error model is simply the MA coefficients at their corresponding lags.
% Copyright 2015 The MathWorks, Inc.