The well-known psychologist Dr. Elbod has established what he calls his Generalized Anxlety 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.) We're interested in making predictions about individuals' sleep behavior based on their GAS scores. 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 participating in a study. A scatter plot of the data is shown in Figure 1. Sleep time, y (in hours) GAS Score, X 1.0 7.4 1.9 7.9 6.4 6.3 10+ 9.2 6.1 7,9 5.5 9.0 5.6 7.0 6.6 1.6 8.8 2.9 6.9 5.0 6.3 4.1 6.9 3.5 7.7 GAS score 3.7 8.6 Figure 1 6.1 8.3 8.1 7.0 Send data to calculator Send data to Excel The least-squares regression line for these data has a slope of approximately -0.26. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specıfied below. (If necessary, consult a list of formulas.) (a) what is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. Explanation Check 02021 MeGraw Hi LLC A Rights Reserved Terme of Us Accessibiy Privacy Conter In hours) aun daais

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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.)
We're interested in making predictions about individuals' sleep behavior based on their GAS scores. 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 participating in a study. A scatter plot of the data is shown in Figure 1.
Sleep time, y
(in hours)
GAS Score, x
1.0
7.4
1.9
7.9
6.4
6.3
10
9.2
6.1
7.9
5.5
9.0
5.6
7.0
6.6
1.6
8.8
2.9
6.9
5.0
6.3
4.1
6.9
3.5
7.7
10
GAS score
3.7
8.6
Figure 1
6.1
8.3
8.1
7.0
Send data to calculator
Send data to Excel
The least-squares regression line for these data has a slope of approximately -0.26.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below, (If necessary, consult a
list of formulas.)
(a) what is the value of the y-intercept of the least-squares regression line for these data?
Round your answer to at least two decimal places.
Explanation
Check
O 2021 McGraw Hil LLC. A Rights Reserved Terms of Us I Priacy Conter Accessibility
79°F Mosily clouc
e to search
I.
%23
bp
Sleep time
(in hours)
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.) We're interested in making predictions about individuals' sleep behavior based on their GAS scores. 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 participating in a study. A scatter plot of the data is shown in Figure 1. Sleep time, y (in hours) GAS Score, x 1.0 7.4 1.9 7.9 6.4 6.3 10 9.2 6.1 7.9 5.5 9.0 5.6 7.0 6.6 1.6 8.8 2.9 6.9 5.0 6.3 4.1 6.9 3.5 7.7 10 GAS score 3.7 8.6 Figure 1 6.1 8.3 8.1 7.0 Send data to calculator Send data to Excel The least-squares regression line for these data has a slope of approximately -0.26. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below, (If necessary, consult a list of formulas.) (a) what is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. Explanation Check O 2021 McGraw Hil LLC. A Rights Reserved Terms of Us I Priacy Conter Accessibility 79°F Mosily clouc e to search I. %23 bp Sleep time (in hours)
6.1
8.3
8.1
7.0
Send data to calculator
Send data to Excel
The least-squares regression line for these data has a slope of approximately -0.26.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your ar
list of formulas.)
(a) What is the value of the y-intercept of the least-squares regression line for these data?
Round your answer to at least two decimal places.
(b) What is the value of the sample correlation coefficient for these data?
Round your answer to at least three decimal places.
Explanation
Check
02021 McGraw Hill LLC.
rch
Transcribed Image Text:6.1 8.3 8.1 7.0 Send data to calculator Send data to Excel The least-squares regression line for these data has a slope of approximately -0.26. Answer the following. Carry your intermediate computations to at least four decimal places, and round your ar list of formulas.) (a) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. (b) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places. Explanation Check 02021 McGraw Hill LLC. rch
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