Answered: The well-known psychologist Dr. Elbod…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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=−8.55-0.29x. This line, along with a scatter plot of the sample data, is shown below.

GAS score, x	Sleep time, y (in hours)
6.7	6.3
3.9	6.9
8.0	5.7
9.0	5.6
1.4	8.9
9.1	5.8
3.8	8.6
3.0	6.9
5.1	6.0
0.9	7.6
6.9	6.7
5.9	7.8
2.0	7.9
3.6	8.0
8.2	6.9

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Sleep time (in hours)	y 5 6 7 8 9 10 x 2 4 6 8 10 0
	GAS score

Based on the study's data and the regression line, complete the following.

(a)	For these data, GAS scores that are greater than the mean of the GAS scores tend to be paired with sleep times that are ▼(Choose one) the mean of the sleep times.

(b)	According to the regression equation, for an increase of one in GAS score, there is a corresponding decrease of how many hours in sleep time?