Using regression methods, derive a calibration formula predicting the 2003 level as a function of the 1999

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Using regression methods, derive a calibration formula predicting the 2003 level as a function of the 1999 level?


Ophthalmology

Lutein, an important carotenoid in the maintenance of ocular health, has been found postmortem in the macula of eyes. Hence, a study is planned to supplement patients with high doses of lutein in capsule form to possibly prevent age-related macular degeneration, an important eye disease that can cause partial or total blindness in large numbers of elderly people.

To assess compliance in study participants, a blood sample will be drawn. It is estimated that a serum lutein > 5 μg/dL would indicate that a participant is taking study medication.

The study began in 1999. A test sample of 9 participants had their lutein level measured in 1999 and again in 2003. The researchers found a calibration error in the 1999 assays, but the 2003 assays were correct. The data are shown in Table 11.26.

Table 11.26: Serum-lutein data analyzed in 1999 and 2003

 1999 Serum-lutoin level (ug/dL) 2003 Serum-lutein level (ug/dL) Sample 3.5 6.4 2.9 7.5 4.1 8.4 5.1 9.6 5 6.4 12.0 6 1.9

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