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Question #1 (10 points): A research group conducted a study on factors influencing 5-year

survival in breast cancer patients. They were particularly interested in patient's age and the

number of positive lymph nodes removed during surgery. The following figure shows the data

from 8 patients who survived after 5 years (the survivor group, green dots) and data from 9

patients who died within 5 years (the deceased group, red blocks). Please draw the decision

boundary using the nearest neighbor method (k-1) based on Euclidean distance.

Instructions: Identify pairs of closest data points from the survivor group and the deceased

group. Draw a perpendicular bisector for each pair. Connect these bisectors into a continuous

decision boundary.

No of Positive Lymph Nodes

42 10

14

12

8

O

+

2

IN

0

35 40 45 50 55 60 65 70

Age