Question 1

What is the role of the regularization term in ridge regression? Which of the following conditions must be satisfied for a decision tree to be pure at a given node? Consider that the three weight vectors $w_1, w_2$, and $w_3$ are learned for a four-dimensional dataset using a linear regression model or regularized linear regression model (Not in any particular order). $$w_1 = \begin{bmatrix} -0.41 & 0.26 & 0.54 & 0.17 \end{bmatrix}^T$$ $$w_2 = \begin{bmatrix} -0.81 & 0.89 & 0.93 & 0.52 \end{bmatrix}^T$$ $$w_3 = \begin{bmatrix} 0 & 0 & 0.08 & 0.2 \end{bmatrix}^T$$ Select the most appropriate match for these weight vectors.