Question 6: Consider a training set {X, y}, where X \in \mathbb{R}^{d…

Consider a training set $\{X, y\}$, where $X \in \mathbb{R}^{d \times n}$ and the target $y \in \mathbb{R}^n$. Suppose a team decided to use linear regression model, $h = w^T X$ where $w \in \mathbb{R}^{d \times 1}$ that minimizes the objective function $L(w)$ given below

$L(w) = \sum_{i=1}^{n} (w^T x_i - y_i)^2$

Suppose we obtain $w = w^*$ such that $L(w^*) = \sum_{i=1}^{n} ({w^*}^T x_i - y_i)^2 = 0$. Choose the following correct statements