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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 yi and estimated probability t^į = Pr^ (Yi = 1) for each sample i, where į = 1,2,...,8. Please sketch the ROC curve and calculate the area under the curve. (Hint: What if the cutoff +0 = 0.55?) i yi îi 1 1 0.59 2 0 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

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 yi and estimated probability t^į = Pr^ (Yi = 1) for each sample i, where į = 1,2,...,8. Please sketch the ROC curve and calculate the area under the curve. (Hint: What if the cutoff +0 = 0.55?) i yi îi 1 1 0.59 2 0 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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 yi and estimated probability i = Pr° (Yi = 1) for each sample i, where į = 1,2,..,8. Please sketch the ROC curve and calculate the area under the curve. (Hint: What if the cutoff t0 = 0.55?) i yi îti 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 yi and estimated probability i = Pr° (Yi = 1) for each sample i, where į = 1,2,..,8. Please sketch the ROC curve and calculate the area under the curve. (Hint: What if the cutoff t0 = 0.55?) i yi îti 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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