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→Comparison to multiple linear regression: There was a typo stating that X_{ik} is the kth observation of the kth independent variable, while it should be the ith observation. |
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for each observation ''i'' = 1, ... , ''n''.
In the formula above we consider ''n'' observations of one dependent variable and ''p'' independent variables. Thus, ''Y''<sub>''i''</sub> is the ''i''<sup>th</sup> observation of the dependent variable, ''X''<sub>''ik''</sub> is ''
In the more general multivariate linear regression, there is one equation of the above form for each of ''m'' > 1 dependent variables that share the same set of explanatory variables and hence are estimated simultaneously with each other:
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