Robin wanted to know if the age partition chosen for her data was the best fit for her 20 case, 90% Class 1, 10% Class 0 partition. She completed the Gini impurity index with the results of (Age

Question

Robin wanted to know if the age partition chosen for her data was the best fit for her 20 case, 90% Class 1, 10% Class 0 partition. She completed the Gini impurity index with the results of (Age < 32) = 0.2312 and (Age $\ge$ 32) = 0.2934. What is the weighted combination and what did partition at Age 32 produce?
A) Robin was able to reduce the Gini index from 0.2934 to 0.2641 confirming the best split for age.
B) Robin was able to reduce the Gini index from 0.2934 to 0.20 confirming the best split for age.
C) Robin was able to reduce the Gini index from 0.2934 to 0.2374 confirming the best split for age.
D) Robin realized with the 0.2641 weighted average, the age split was not the best split for the age range.

Quizplus · Accepted Answer

The weighted combination of the Gini impurity index for the two partitions (Age < 32 and Age ≥ 32) results in a reduction of the Gini index from 0.2934 to 0.2374, indicating that partitioning at Age 32 improves the purity of the classes, thus confirming it as the best split for age.

Robin Wanted to Know If the Age Partition Chosen for Her