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Use a rank correlation coefficient to test for a correlation between two variables.

Use a rank correlation coefficient to test for a correlation between two variables.

Utilizing Excel or SPSS:

1. Use a rank correlation coefficient to test for a correlation between two variables.

2. Use a significance level of α=0.05.

The new health care program in the United States makes provisions for capitation programs where health care insurers work with clinical facilities to perform risk analysis of patients to determine the cost of providing care. The following assignment might be used to assess how much a person smokes.

When nicotine is absorbed by the body, cotinine is produced. A measurement of cotinine in the body is therefore a good indicator of how much a person smokes. The reported number of cigarettes smoked per day and the measured amounts of cotinine (in ng/ml) are provided. (The values are from randomly selected subjects in a National Health Examination Survey.) Is there a significant linear correlation? How would you measure the cotinine level in the body? Explain the result.

Use the Rank Correlation table attached to answer this question.

Use the Rank Correlation table below to answer this question.

Rank Correlation Table

x (cigarettes per day) 60 10 4 15 10 1 20 8 7 10 10 20
y(cotinine) 179 283 75.6 174 209 9.51 350 1.85 43.4 25.1 408 344

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