The well-known psychologist Dr. Elbod has established what he calls his Generalized Anxiety Scale (GAS). The GAS, which is a scale from 0 to 10, measures the "general anxiety" of an individual, with higher GAS scores corresponding to more anxiety. (Dr. Elbod's assessment of anxiety is based on a variety of measurements, both physiological and psychological.) The bivariate data below give the GAS score (denoted by x) and the number of hours of sleep last night (denoted by y) for each of the fifteen adults in a study. The least-squares regression line for these data has equation y=8.38-0.28x. This line, along with a scatter plot of the sample data, is shown below. GAS score, x 5.9 3.6 7.9 4.0 9.0 0.9 6.6 9.3 7.0 4.9 3.8 3.1 8.0 2.1 1.6 Send data to calculator V Sleep time, y (in hours) 8.0 7.3 7.0 7.1 5.4 7.2 5.7 6.3 6.4 6.1 8.5 7.0 5.0 8.1 8.6 Send data to Excel Sleep time (in hours) Based on the study's data and the regression line, complete the following. 10- 9 0 x GAS score x 16 (a) For these data, sleep times that are less than the mean of the sleep times tend to be paired with GAS scores that are (Choose one) ▼ the mean of the GAS scores. greater than less than (b) Povuruming so tregression equation, for an increase of one in GAS score, there is a corresponding decrease of how many hours in sleep time? П
The well-known psychologist Dr. Elbod has established what he calls his Generalized Anxiety Scale (GAS). The GAS, which is a scale from 0 to 10, measures the "general anxiety" of an individual, with higher GAS scores corresponding to more anxiety. (Dr. Elbod's assessment of anxiety is based on a variety of measurements, both physiological and psychological.) The bivariate data below give the GAS score (denoted by x) and the number of hours of sleep last night (denoted by y) for each of the fifteen adults in a study. The least-squares regression line for these data has equation y=8.38-0.28x. This line, along with a scatter plot of the sample data, is shown below. GAS score, x 5.9 3.6 7.9 4.0 9.0 0.9 6.6 9.3 7.0 4.9 3.8 3.1 8.0 2.1 1.6 Send data to calculator V Sleep time, y (in hours) 8.0 7.3 7.0 7.1 5.4 7.2 5.7 6.3 6.4 6.1 8.5 7.0 5.0 8.1 8.6 Send data to Excel Sleep time (in hours) Based on the study's data and the regression line, complete the following. 10- 9 0 x GAS score x 16 (a) For these data, sleep times that are less than the mean of the sleep times tend to be paired with GAS scores that are (Choose one) ▼ the mean of the GAS scores. greater than less than (b) Povuruming so tregression equation, for an increase of one in GAS score, there is a corresponding decrease of how many hours in sleep time? П
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The well-known psychologist Dr. Elbod has established what he calls his Generalized Anxiety Scale (GAS). The GAS, which is a scale from 0 to 10, measures the
"general anxiety" of an individual, with higher GAS scores corresponding to more anxiety. (Dr. Elbod's assessment of anxiety is based on a variety of
measurements, both physiological and psychological.)
The bivariate data below give the GAS score (denoted by x) and the number of hours of sleep last night (denoted by y) for each of the fifteen adults in a study.
The least-squares regression line for these data has equation y=8.38-0.28x. This line, along with a scatter plot of the sample data, is shown below.
GAS score, x
5.9
3.6
7.9
4.0
9.0
0.9
6.6
9.3
7.0
4.9
3.8
3.1
8.0
2.1
1.6
Send data to calculator
(b)
Sleep time, y
(in hours)
8.0
7.3
7.0
7.1
5.4
7.2
5.7
6.3
6.4
6.1
8.5
7.0
5.0
8.1
8.6
Send data to Excel
Sleep time
(in hours)
Based on the study's data and the regression line, complete the following.
10-
GAS score
18
(a) For these data, sleep times that are less than the mean of the sleep times tend to be paired with GAS scores that are
(Choose one) ▼ the mean of the GAS scores.
greater than
less than
Accuramy to the regression equation, for an increase of one in GAS score, there is a corresponding decrease of how
many hours in sleep time?
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