Question

Q 7.3 For the remaining parts of this question, consider the following two loss functions. L_{A}\left(y_{i}, \theta\right)=2\left(y_{i}-\theta\right)^{2} L_{B}\left(y_{i}, \theta\right)=3\left|y_{i}-\theta\right| Let 0A and 0B be the values of 0 that minimize

average LA loss and average LB loss, respectively, for the constant model and a given dataset. Which of the following is true regarding the relationship between 0A and OB for the dataset y = [1, 2, 3, 4, 5]? \begin{aligned} &\hat{\theta_{A}}>\hat{\theta_{B}}\\ &\hat{\theta_{A}}<\hat{\theta_{B}}\\ &\hat{\theta_{A}}=\hat{\theta_{B}}\\ &\text { Impossible to tell } \end{aligned}

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