Based on the study's data and the regression line, answer the following. (a) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 4.2? Round your answer to one or more decimal places. (b) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 7.0? Round your answer to one or more decimal places. 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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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 in a study. The least-squares regression line for these data has equation Ŷ=8.48-0.28x This line, along with a scatter plot of the sample data, is shown below.

(The 2nd picture contains the rest of the data as it would not fit in the first pic and it includes the question as well.) 

 

9.0
8.1
6.5
Send data to calculator
5.9
7.0
5.9
Send data to Excel
Based on the study's data and the regression line, answer the following.
GAS score
(a) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 4.2? Round your
answer to one or more decimal places.
(b) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 7.0? Round your
answer to one or more decimal places.
0
Transcribed Image Text:9.0 8.1 6.5 Send data to calculator 5.9 7.0 5.9 Send data to Excel Based on the study's data and the regression line, answer the following. GAS score (a) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 4.2? Round your answer to one or more decimal places. (b) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 7.0? Round your answer to one or more decimal places. 0
GAS score, x
7.0
5.9
9.1
2.1
1.2
3.8
3.1
1.7
5.1
4.1
3.6
7.9
Sleep time, y
(in hours)
6.4
8.0
6.3
8.1
7.3
8.3
7.1
8.8
6.2
7.0
7.8
5.3
Sleep time
(in hours)
10+
0
X
x
X
X
x
x
X
10
Transcribed Image Text:GAS score, x 7.0 5.9 9.1 2.1 1.2 3.8 3.1 1.7 5.1 4.1 3.6 7.9 Sleep time, y (in hours) 6.4 8.0 6.3 8.1 7.3 8.3 7.1 8.8 6.2 7.0 7.8 5.3 Sleep time (in hours) 10+ 0 X x X X x x X 10
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