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Hypothesis Of Linear Regression




Given the Mathematical Formalization Of The Statistical Regression Problem , let \Theta\subseteq\Gamma be a set of coefficients. The hypothesis of the linear regression is:

\exists (\beta^0,\cdots,\beta^p)\in heta^{p+1}:
  <math>f(X 1,\cdots,X P) \mathbb{E}(YX_1,\cdots,X_p) = \beta^0 + \sum_{j=1}^p \beta^j X_j</math>