5.36 Cost-to-charge ratio (the percentage of the amount billed that represents the actual cost) for inpatient

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5.36 ● Cost-to-charge ratio (the percentage of the amount billed that represents the actual cost) for inpatient and outpatient services at 11 Oregon hospitals is shown in the following table (Oregon Department of Health Services, 2002). A scatterplot of the data is also shown.

Cost-to-Charge Ratio Hospital Outpatient Care Inpatient Care 1 62 80 2 66 76 3 63 75 4 51 62 5 75 100 6 65 88 7 56 64 8 45 50 9 48 54 10 71 83 11 54 100 The least-squares regression line with y 5 inpatient cost-to-charge ratio and x 5 outpatient cost-to-charge ratio is y⁄
5 21.1 1 1.29x.

a. Is the observation for Hospital 11 an influential observation? Justify your answer.

b. Is the observation for Hospital 11 an outlier?
Explain.

c. Is the observation for Hospital 5 an influential observation? Justify your answer.

d. Is the observation for Hospital 5 an outlier?
Explain.

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Introduction To Statistics And Data Analysis

ISBN: 9781305445963

5th Edition

Authors: Roxy Peck, Chris Olsen, Jay L Devore

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