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This question already has an answer here:

I'd like to create the following equation:
enter image description here
Could you please give me a solution? Thank you.

marked as duplicate by egreg amsmath Jun 29 '16 at 12:05

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\documentclass{article}
\usepackage{amsmath}

\begin{document}

\[
   \hat{y}_i= \begin{cases} 
        y_i, & \text{if}\ i\notin I\\ 
        (x\hat{\beta})_i, & \text{if}\ i \in I \end{cases}
\]
\end{document}

enter image description here

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