Exercise 10-4 Static After a data set was partitioned using the split value of 45.5 for age. The age < 45.5 partition contains 22 patients with a diabetes diagnosis and 178 patients without a diabetes diagnosis, and the age 2 45.5 partition contains 48 patients with a diabetes diagnosis and 152 patients without a diabetes diagnosis. a. Compute and list the Gini impurity index for the root node. (Round your answer to 4 decimal places.) Gini impurity index for the root node b. Compute and list the Gini impurity index for the age < 45.5 partition. (Round your answer to 4 decimal places.) Gini impurity index for the age < 45.5 partition

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Exercise 10-4 Static
After a data set was partitioned using the split value of 45.5 for age. The age < 45.5 partition contains 22 patients with a diabetes
diagnosis and 178 patients without a diabetes diagnosis, and the age 2 45.5 partition contains 48 patients with a diabetes diagnosis
and 152 patients without a diabetes diagnosis.
a. Compute and list the Gini impurity index for the root node. (Round your answer to 4 decimal places.)
Gini impurity index for the root node
b. Compute and list the Gini impurity index for the age < 45.5 partition. (Round your answer to 4 decimal places.)
Gini impurity index for the age < 45.5 partition
Transcribed Image Text:Exercise 10-4 Static After a data set was partitioned using the split value of 45.5 for age. The age < 45.5 partition contains 22 patients with a diabetes diagnosis and 178 patients without a diabetes diagnosis, and the age 2 45.5 partition contains 48 patients with a diabetes diagnosis and 152 patients without a diabetes diagnosis. a. Compute and list the Gini impurity index for the root node. (Round your answer to 4 decimal places.) Gini impurity index for the root node b. Compute and list the Gini impurity index for the age < 45.5 partition. (Round your answer to 4 decimal places.) Gini impurity index for the age < 45.5 partition
c. Compute and list the Gini impurity index for the age > 45.4 partition. (Round your answer to 4 decimal places.)
Gini impurity index for the age 2 45.4 partition
d. Compute and list the Gini impurity index for the split. (Round your answer to 4 decimal places.)
Gini impurity index for the spit
e. Which of the following is NOT a rule that can be derived from the split?
O f age < 45.5, then the probability of a diabetes diagnosis is 11%.
O If age 2 45.5, then the probability of a diabetes diagnosis is 24%.
O If age < 45.5, then the probability of a diabetes diagnosis is 24%.
O None of the above
Transcribed Image Text:c. Compute and list the Gini impurity index for the age > 45.4 partition. (Round your answer to 4 decimal places.) Gini impurity index for the age 2 45.4 partition d. Compute and list the Gini impurity index for the split. (Round your answer to 4 decimal places.) Gini impurity index for the spit e. Which of the following is NOT a rule that can be derived from the split? O f age < 45.5, then the probability of a diabetes diagnosis is 11%. O If age 2 45.5, then the probability of a diabetes diagnosis is 24%. O If age < 45.5, then the probability of a diabetes diagnosis is 24%. O None of the above
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