It seems reasonable that the s

It seems reasonable that the size of a cancerous tumor should be related to the likelihood that the cancer will spread (metastasize) to another site. The article “Molecular Detection of p16 Promoter Methylation in the Serum of Patients with Esophageal Squamous Cell Carcinoma” (Cancer Res., 2001: 3135–3138) investigated the spread of esophageal cancer to the lymph nodes. With  size of a tumor (cm) and y  1 if the cancer does spread, consider the logistic regression model with a  22 and b  .5 (values suggested by data in the article).

a. Tabulate values of x, (x), the odds  (x)/[1 2  (x)], and the log odds for x 5 0, 1, 2, . . . , 10.

b. Explain what happens to the odds when x is increased by 1. Your explanation should involve the .5 that appears in the formula for  (x).

c. For what value of x are the odds 1? 5? 10?

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