In a study of 31 patients with esophageal cancer, it was found that in 18 of the patients the cancer had metastasizedto the lymph nodes. Thus an overall estimate of the probability of metastasis is 0.58. A predictor variablemeasured on each patient is Size of the tumor (in cm). A fitted logistic regression model is1831logp(z)(1-p(z)=-2.4+0.6x= -2.4+0.6- Sizep(z)1-p(z)'(a) Use this model to estimate the odds of metastasis. if a patient's tumor size is 4 cm.(b) Use the model to predict the probability of metastasis if a patient's tumor size is 4 cm.(c) How much do the estimated odds change if the tumor size changes from 4 cm to 5 cm?(d) How much does the estimate of p(z) change if the tumor size changes from 4 cm to 5 cm?(e) How large does a tumor need to be for the estimated probability of metastasis to be at least 0.90?

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Answered: In a study of 31 patients with…

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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