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. Also given is the product of the GAS score and the sleep time for each of the fifteen adults. (These products, written in the column labelled "xy", may aid in calculations.) GAS score, x Sleep time, y (in hours) xy 3.9 8.5 33.15 4.0 7.1 28.4 7.0 6.3 44.1 2.1 8.3 17.43 3.7 7.6 28.12 9.1 6.3 57.33 5.1 6.0 30.6 6.1 7.7 46.97 6.5 5.9 38.35 8.0 7.3 58.4 2.8 7.2 20.16 8.0 5.2 41.6 0.9 7.4 6.66 1.5 8.7 13.05 9.1 5.5 50.05 Send data to calculator Sleep time (in hours) y 5 6 7 8 9 10 x 2 4 6 8 10 0 GAS score Figure 1 What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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. Also given is the product of the GAS score and the sleep time for each of the fifteen adults. (These products, written in the column labelled "xy", may aid in calculations.)

GAS score, x	Sleep time, y (in hours)	xy
3.9	8.5	33.15
4.0	7.1	28.4
7.0	6.3	44.1
2.1	8.3	17.43
3.7	7.6	28.12
9.1	6.3	57.33
5.1	6.0	30.6
6.1	7.7	46.97
6.5	5.9	38.35
8.0	7.3	58.4
2.8	7.2	20.16
8.0	5.2	41.6
0.9	7.4	6.66
1.5	8.7	13.05
9.1	5.5	50.05

Send data to calculator

Sleep time
(in hours)

GAS score

Figure 1

What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.)

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