Estimator Mean Squared Error Minimization Quiz
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Questions and Answers

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

  • To include all regressors (correct)
  • To exclude all regressors
  • To control complexity
  • To introduce endogeneity

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

  • Excludes some regressors (correct)
  • Introduces endogeneity
  • Controls complexity
  • Includes all regressors

What does the LASSO regularization method do?

  • Shrinks some coefficients to zero (correct)
  • Shrinks all coefficients towards zero
  • Increases all coefficients uniformly
  • Expands the model complexity

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

<p>Results in few non-zero estimates (C)</p> Signup and view all the answers

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

<p>Favoring a model with fewer relevant features (C)</p> Signup and view all the answers

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

<p>$L1$ norm (D)</p> Signup and view all the answers

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

<p>Controls the trade-off between complexity and fit (C)</p> Signup and view all the answers

Which operator is associated with LASSO in its full form?

<p>$L1$ Operator (C)</p> Signup and view all the answers

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

<p>'Post' Ordinary Least Squares regression without shrinkage (D)</p> Signup and view all the answers

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

<p>'Endogeneity' points towards omitted variable bias (A)</p> Signup and view all the answers

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