2. Suppose that a binary response variable Y is related to a set of predictors and a logistic model is fitted under sample size n= 8. Table.1 gives the observed y; and estimated probability ît; = Pr(Y; = 1) for each sample i, where i = 1,2,.., 8. Please sketch the ROC curve and calculate the area under the curve. (Hint: What if the cutoff TO = 0.55?)

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
Chapter1: Introduction
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2. Suppose that a binary response variable Y is related to a set of predictors and a logistic model is fitted
under sample size n = 8. Table.1 gives the observed y; and estimated probability ît; = Pr(Y; = 1) for each
sample i, where i = 1,2, ..., 8. Please sketch the ROC curve and calculate the area under the curve. (Hint:
What if the cutoff To = 0.55?)
i y; ît;
1 1 0.59
20 0.42
3 1 0.67
4 1 0.82
5 0 0.09
6 0 0.51
7 1 0.91
8 0 0.25
Table 1
Transcribed Image Text:2. Suppose that a binary response variable Y is related to a set of predictors and a logistic model is fitted under sample size n = 8. Table.1 gives the observed y; and estimated probability ît; = Pr(Y; = 1) for each sample i, where i = 1,2, ..., 8. Please sketch the ROC curve and calculate the area under the curve. (Hint: What if the cutoff To = 0.55?) i y; ît; 1 1 0.59 20 0.42 3 1 0.67 4 1 0.82 5 0 0.09 6 0 0.51 7 1 0.91 8 0 0.25 Table 1
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