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.

Question

29-09-2021
Advanced Placement (AP)

contestada

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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Upendo Upendo · Answer 1 · 2021-09-29T12:23:47+02:00

Upendo Upendo

29-09-2021

(A) The sum of the residuals is less than 0.

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topeadeniran2 topeadeniran2 · Answer 2 · 2021-12-30T13:39:58+01:00

The option that would be revealed by a plot of the residuals is D. The variation in the hours of pain relief is not the same across the doses.

The least-squares regression line simply means the line that is used to make the vertical distance from the data points to the regression line small.

Based on the complete information, the thing that would be revealed by a plot of the residuals of the regression versus the dose is that the variation in the hours of pain relief is not the same across the doses.

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