to 10, The well-known psychologist Dr. Ibod nas has established what he calls his Generalized Anxiety Scale (GAS). The GAS, which "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.) Sleep time, y (in hours) 8.2 7.4 7.4 8.4 6.5 5.5 6.4 7.9 6.4 8.4 6.2 6.8 7.2 8.0 5.3 1.0 7.4 Send data to calculator ✓ 8 GAS score, x 2.1 3.6 8.0 3.8 7.0 9.1 5.0 5.9 9.1 1.5 6.5 4.0 3.0 xy 17.22 26.64 59.2 31.92 45.5 50.05 32 46.61 58.24 12.6 40.3 27.2 21.6 42.4 7.4 X Sleep time (in hours) 5 10+ Figure 1 9+ 6+ 5+ GAS score What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at lea three decimal places. (If necessary, consult a list of formulas.) asures 16

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

Related questions

Question

Expert Solution

Step 1

Answer:

Let X be the Gas score and Y be the sleeping time in hours.

Formula:

Correlation(r)= $\frac{\sum_{}^{} X Y - n X Y}{\sqrt{(\sum_{}^{} X^{2} - n X^{2})} \times \sqrt{(\sum_{}^{} Y^{2} - n Y^{2})}}$

Calculation table: