Estimator Mean Squared Error Minimization Quiz

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10 Questions

What is the purpose of minimizing empirical risk over the hypothesis space?

To include all regressors

How does setting I ⊂ {1,..., K } impact the regression model?

Excludes some regressors

What does the LASSO regularization method do?

Shrinks some coefficients to zero

What is a notable feature of LASSO compared to ridge regression?

Results in few non-zero estimates

In the context of LASSO regularization, what does 'bet on sparsity' imply?

Favoring a model with fewer relevant features

Which norm is used in LASSO regularization for penalizing the coefficients?

$L1$ norm

What is the function of the regularization parameter (λ) in the LASSO method?

Controls the trade-off between complexity and fit

Which operator is associated with LASSO in its full form?

$L1$ Operator

'Post LASSO' follows what specific strategy after using LASSO for coefficient selection?

'Post' Ordinary Least Squares regression without shrinkage

'Endogeneity' in regression models refers to which of the following issues?

'Endogeneity' points towards omitted variable bias

Test your knowledge on minimizing Mean Squared Error of an estimator by understanding the trade-off between the variance term and bias term. Explore the concept through examples and theoretical explanations.

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