Question 11: In a sports analytics company, the team is interested in…

In a sports analytics company, the team is interested in predicting whether a basketball player will score above 20 points in a game using classification models. They collected data on various factors $x = [x_1, x_2, x_3]$ from past games of different players. The factors include minutes played, shots attempted, and free throw percentage. The data and corresponding labels are shown in the table below: Compute the misclassification

rate if they use the following step function:

$u(z) = \begin{cases} 1, & \text{if } z \ge 3 \\ 0, & \text{otherwise} \end{cases}$

and the linear combination $z$ is given by: $0.6x_1 + 0.3x_2 + 0.1x_3$. Enter the answer correct to one decimal place.

Note: Here, $x_1$ represents whether the player is a starter (1) or not (0), $x_2$ is the number of shots attempted, and $x_3$ is the free throw percentage. The label $y$ indicates whether the player scored more than 20 points (1) or not (0). The misclassification rate is the number of labels misclassified.e.g. if 3 out of 5 players are mislabeled then the misclassification rate is 3/5.