Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 5, Problem 72CR
The paper “Depression, Body Mass Index, and Chronic Obstructive Pulmonary Disease—A Holistic Approach” (International Journal of COPD [2016]:239–249) gave data on change in body mass index (BMI in kilograms/meter2) and change in a measure of depression for patients suffering from depression who participated in a pulmonary rehabilitation program. The data in the table below are a subset of the data given in the paper and are approximate values read from a
- a. Find the equation of the least-squares line that would allow you to predict change in depression score based on change in BMI.
- b. Find the values of r2 and se. Based on these values, do you think that the least-squares line does a good job of describing the relationship between change in depression score and change in BMI? Explain.
- c. The following graph is a scatterplot of these data. The least-squares line is also shown. Which observations are outliers? Do the observations with the largest residuals correspond to the patients with the largest change in BMI?
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The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and 115 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings, which were obtained before and after the patients were placed on an antihypertensive treatment, are given in data 3. Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment?
data 3
'Before' 'After'22.86 6.117.74 -4.0215.49 8.049.97 3.291.44 -0.779.39 6.9911.4 10.191.86 2.09-6.71 11.46.42 10.7
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Chapter 5 Solutions
Introduction To Statistics And Data Analysis
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