1. (17 pts) Suppose we train a model to predict whether an email is Spam or Not Spam. After training the model, we apply it to a test set of 500 new emails (also labeled) and the model produces the following contingency table. True Class Spam 70 70 Not Spam Predicted Class Spam Not Spam | i. Compute the precision of this model with respect to the Spam 30 330 class ii. Compute the recall of this model with respect to the Spam class

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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1. (17 pts) Suppose we train a model to predict whether an email is
Spam or Not Spam. After training the model, we apply it to a test set
of 500 new emails (also labeled) and the model produces the
following contingency table.
True Class
Not Spam
30
Spam
Predicted
Spam
Not Spam
70
Class
70
330
i. Compute the precision of this model with respect to the Spam
class
ii. Compute the recall of this model with respect to the Spam class
iii. Suppose we have two users with the following preferences.
User 1 hates seeing spam emails in her inbox! However, she
doesn't mind periodically checking the "Junk" directory for
genuine emails incorrectly marked as spam.
User 2 doesn't even know where the "Junk" directory is. He
would much prefer to see spam emails in his inbox than to miss
genuine emails without knowing!
Which user is more likely to be satisfied with this classifier? Why?
Transcribed Image Text:1. (17 pts) Suppose we train a model to predict whether an email is Spam or Not Spam. After training the model, we apply it to a test set of 500 new emails (also labeled) and the model produces the following contingency table. True Class Not Spam 30 Spam Predicted Spam Not Spam 70 Class 70 330 i. Compute the precision of this model with respect to the Spam class ii. Compute the recall of this model with respect to the Spam class iii. Suppose we have two users with the following preferences. User 1 hates seeing spam emails in her inbox! However, she doesn't mind periodically checking the "Junk" directory for genuine emails incorrectly marked as spam. User 2 doesn't even know where the "Junk" directory is. He would much prefer to see spam emails in his inbox than to miss genuine emails without knowing! Which user is more likely to be satisfied with this classifier? Why?
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