Computer scienceData scienceMachine learningRegression

Multiple linear regression

Optimal coefficients

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Choose the correct formula for calculating the vector of a linear regression model coefficients $\overrightarrow{\bf{w}} = (w_0, w_1, ... , w_n)^T$ according to the least-squares method.

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\overrightarrow{\bf{w}}=(X^\top X)^{-1}X^\top \overrightarrow{\bf{y}}

\overrightarrow{\bf{w}}=(X^{-1} X)^\top X^\top \overrightarrow{\bf{y}}

\overrightarrow{\bf{w}}=<\overrightarrow{\bf{x}}, \overrightarrow{\bf{e}}>

\overrightarrow{\bf{w}}=\overrightarrow{\bf{y}} + \overrightarrow{\bf{e}}

\overrightarrow{\bf{w}}=X\overrightarrow{\bf{e}} - \overrightarrow{\bf{y}}

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