The well-known psychologist Dr. Elbod has established what he calls his Generali
ID: 3063385 • Letter: T
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.) 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 y 8.50-0.29x. This line, along with a scatter plot of the sample data, is shown in Figure 1 Sleep time, y (in hours) 6.4 5.5 6.8 8.4 6.1 7.6 8.6 5.3 8.7 6.9 6.9 5.9 7.5 7.9 5.6 GAS score, x 7.1 8.2 8.0 2.0 4.9 10 1.5 9.2 3.7 3.0 3.9 6.3 3.6 6.0 9.1 10 Figure 1 Using this information, answer the following: 1. Fil in the blank: For these data, sleep times that are greater than the mean of the sleep times tend to be paired with GAS scores that are Choose one the mean of the GAS scores. 2. Fill in the blank: According to the regression equation, for an increase of one in GAS score, there is a corresponding hours in sleep time. of 0.29 | | Choose one 3. What was the observed sleep time in hours) when the GAS score was 1.5? 4. From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 1.5? (Round your answer to at least o decimal place.) PlaeGASCnExplanation / Answer
a) Since, slope is negative answer is less
b) Decrease as sign is negative
c) From table we can see it was 8.6 hours.
d) y = 8.5 - 0.29x
x = 1.5
y = 8.5 - 0.29 * 1.5
y = 8.1
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