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An experiment was conducted to investigate the relationship between the dose of a pain medication and the number of hours of pain relief. Twenty individuals with chronic pain were randomly assigned to one of five doses 0.0, 0.5, 1.0, 1.5, 2.0-in milligrams (mg) of medication. The results are shown in the scatterplot below. Pain Relief (hours) 14- 12- 10- 8. + 2 0.0 0.5 1.0 Dose (mg) 1.5 2.0 The data were used to fit a least-squares regression line to predict the number of hours of pain relief for a given dose. Which of the following would be revealed by a plot of the residuals of the regression versus the dose? (A) The sum of the residuals is less than 0. (B) The sum of the residuals is greater than 0. (C) There are outliers associated with the lower doses. (D) The variation in the hours of pain relief is not the same across the doses. (E) There is a positive linear relationship between the residuals and the dose.

An experiment was conducted to investigate the relationship between the dose of a pain medication and the number of hours of pain relief. Twenty individuals with chronic pain were randomly assigned to one of five doses 0.0, 0.5, 1.0, 1.5, 2.0-in milligrams (mg) of medication. The results are shown in the scatterplot below. Pain Relief (hours) 14- 12- 10- 8. + 2 0.0 0.5 1.0 Dose (mg) 1.5 2.0 The data were used to fit a least-squares regression line to predict the number of hours of pain relief for a given dose. Which of the following would be revealed by a plot of the residuals of the regression versus the dose? (A) The sum of the residuals is less than 0. (B) The sum of the residuals is greater than 0. (C) There are outliers associated with the lower doses. (D) The variation in the hours of pain relief is not the same across the doses. (E) There is a positive linear relationship between the residuals and the dose.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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An experiment was conducted to investigate the relationship between the dose of a pain medication and the number of hours of pain relief. Twenty individuals with chronic pain were randomly assigned to one of five doses 0.0, 0.5, 1.0, 1.5, 2.0-in milligrams (mg) of medication. The results are shown in the scatterplot below. Pain Relief (hours) 14- 12- 10- 8. + 2 0.0 0.5 1.0 Dose (mg) 1.5 2.0 The data were used to fit a least-squares regression line to predict the number of hours of pain relief for a given dose. Which of the following would be revealed by a plot of the residuals of the regression versus the dose? (A) The sum of the residuals is less than 0. (B) The sum of the residuals is greater than 0. (C) There are outliers associated with the lower doses. (D) The variation in the hours of pain relief is not the same across the doses. (E) There is a positive linear relationship between the residuals and the dose.
Transcribed Image Text:An experiment was conducted to investigate the relationship between the dose of a pain medication and the number of hours of pain relief. Twenty individuals with chronic pain were randomly assigned to one of five doses 0.0, 0.5, 1.0, 1.5, 2.0-in milligrams (mg) of medication. The results are shown in the scatterplot below. Pain Relief (hours) 14- 12- 10- 8. + 2 0.0 0.5 1.0 Dose (mg) 1.5 2.0 The data were used to fit a least-squares regression line to predict the number of hours of pain relief for a given dose. Which of the following would be revealed by a plot of the residuals of the regression versus the dose? (A) The sum of the residuals is less than 0. (B) The sum of the residuals is greater than 0. (C) There are outliers associated with the lower doses. (D) The variation in the hours of pain relief is not the same across the doses. (E) There is a positive linear relationship between the residuals and the dose.
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