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  • Ex post forecasting

    Hello everyone!

    I need your help.

    I have a sample of 300 enterprises, for the years 2010-2020. My observations are almost 2000. My sample is not balanced.

    I run a model as the one it follows:
    Y= a+ b1 X1 +b2 X2+ b3 X3 + b4 X4+ b5 X5+ et

    I would like to make a forecast (ex-post forecasting) of the value of my dependent variable for the years 2019 and 2020 in order to understand if the independent variables of the past (2010-2017) affect the value of the dependent variable in the future (years 2019 and 2020).

    To do so, I used the following code:
    arima Y X1 X2 X3 X4 X5, arima(2,0,2)
    predict YF, dynamic

    and these are the results:
    OPG
    Y Coef. Std. Err. z P>z [95% Conf. Interval]
    X1 -160.5081 1.319629 -12.16 0.000 -1.863723 -1.346439
    X2 .505218 .0172183 29.34 0.000 .4714707 .5389652
    X3 4.458896 1.056467 0.42 0.673 -1.624.747 2.516526
    X4 3.283943 1.672604 1.96 0.050 .0569942 6.562187
    X5 4.341003 2.557169 1.70 0.090 -6.709.564 9.352962
    _cons -2.172456 1.480361 -1.47 0.142 -5.073.911 7.289985
    ARMA
    ar
    L1. -1.948064 .0235443 -82.74 0.000 -199.421 -1.901918
    L2. -.9853945 .0233688 -42.17 0.000 -1.031196 -.9395926
    ma
    L1. 1.937255 .0319802 60.58 0.000 1.874575 1.999935
    L2. .9743701 .031694 30.74 0.000 .912251 1.036489
    /sigma 150.1485 .7347909 204.34 0.000 1.487083 1.515886
    I would like to ask:
    1. Does this table show me if the independent variables forecast the future value of the dependent variable?
    2. If yes, what tests do I have to run in order to be sure for the fit of the model?
    3. The sigma value, which is 150.1485 signals a problem?
    4. After predicting the YF I suppose that I have to compare acctual values and predicted. In this case do I need MSE or something else?
    Thank you in advance
    Kind regards
    Kleon
    P.s. I am not very familiar with advanced statistics so If you can recommend me a paper or a book that can help me to use forecasting I would be grateful!
    Last edited by Kleon Marenas; 04 Jan 2023, 04:37.
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