CAS Exam MAS-II Spring 2019, Question 38
Study guide: Exam MAS-II
You are provided with training and test data samples consisting of a single variable X, and an observation Y consisting of two possible classes, T and F.
Training Data
i |
x_i |
y_i |
|---|---|---|
| 1 | -1.60 | T |
| 2 | -1.50 | F |
| 3 | -0.60 | T |
| 4 | -0.30 | T |
| 5 | 0.40 | F |
| 6 | 0.40 | F |
| 7 | 0.70 | T |
| 8 | 1.20 | T |
| 9 | 1.30 | T |
| 10 | 2.10 | F |
Test Data
i |
x_i |
y_i |
|---|---|---|
| 1 | -1.3 | F |
| 2 | 0.9 | F |
| 3 | 1.2 | T |
The Bayes classifier \Pr[Y = F \mid X = x] = e^{-x^2}.
Calculate the amount by which the K-nearest neighbors test error rate with K=3 exceeds the Bayes error rate on the test data.
- A) Less than 0.35
- B) At least 0.35 but less than 0.40
- C) At least 0.40 but less than 0.45
- D) At least 0.45 but less than 0.50
- E) Greater than or equal to 0.50
Answer this question and see the worked solution