Refer to the output of Exercise 11.50. Suppose the investigator wanted to predict the dose of the diuretic that would produce a response equivalent to 50% (and 75%) of the response obtained from four patients treated with a known diuretic. Predict x and give appropriate limits for each of these situations.
REFERENCE:
11.50 : A researcher obtains data from 24 patients to examine the relationship between dose (amount of drug) and cumulative urine volume (CUMVOL) for a drug product being studied as a diuretic. The data are shown here in the computer output. The initial fit of the data yielded a nonlinear relationship between dose and CUMVOL. The researcher decided on the transformations natural logarithm of dose and arcsine of the square root of CUMVOL/100, labeled as LOG (DOSE) and TRANS. CUMVOL on the output.
a. Locate the linear regression equation. Identify the independent and dependent variables.
b. Use the output to predict dose based on individual y values of 10, 14, and 19 . What are the corresponding 95% prediction limits for each of those cases?
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