In a study on caffeine and stress, college stu- dents indicated how many cups of coffee they drink per day and their stress level on a scale of 1 to 10. The data appear below. Number of Cups of Coffee Stress Level 3 2 Number of Cups of Coffee 4 Stress Level 3 9. 6. 4 2 1 10 3 Calculate a Pearson's r to determine the type and strength of the relationship between caffei and stress level. How much of the variability i stress scores is accounted for by the number of cuns of coffee consumed per day?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The question is in the first picture, and the formula that may be used is in the second picture.

All the subjects are ranked on both variables and then one determines the
Σχ-ΣΧ(ΣΥ)
ΣΧΥ-
Σχε_(Σχ)?
y2
(ΣΥ?
Ex² =
uc 101HIUla for p, is:
Ior p, 1s:
6Σ d
P.=1-
%3D
N(N-1)
where: p, = Spearman rho
%3D
d'= difference in subject's rank on the two measures
squared
N= number of subjects in the sample
6= constant always employed in this calculation
Formula (9.1)
Spearman Rho Correlation Coefficient
All the subjects are ranked on both yariables and then one determines u
difference between the paired ranks of
squared ovor
Transcribed Image Text:All the subjects are ranked on both variables and then one determines the Σχ-ΣΧ(ΣΥ) ΣΧΥ- Σχε_(Σχ)? y2 (ΣΥ? Ex² = uc 101HIUla for p, is: Ior p, 1s: 6Σ d P.=1- %3D N(N-1) where: p, = Spearman rho %3D d'= difference in subject's rank on the two measures squared N= number of subjects in the sample 6= constant always employed in this calculation Formula (9.1) Spearman Rho Correlation Coefficient All the subjects are ranked on both yariables and then one determines u difference between the paired ranks of squared ovor
4. In a study on caffeine and stress, college stu-
dents indicated how many cups of coffee they
drink
per day and their stress level on a scale of
1 to 10. The data appear below.
Number of Cups of Coffee
Stress Level
Stress Level
Number of Cups of Coffee
10
Calculate a Pearson's r to determine the type
and strength of the relationship between caffeine
and stress level. How much of the variability in
stress scores is accounted for by the number of
cups of coffee consumed per day?
942
23
32
4651 73
Transcribed Image Text:4. In a study on caffeine and stress, college stu- dents indicated how many cups of coffee they drink per day and their stress level on a scale of 1 to 10. The data appear below. Number of Cups of Coffee Stress Level Stress Level Number of Cups of Coffee 10 Calculate a Pearson's r to determine the type and strength of the relationship between caffeine and stress level. How much of the variability in stress scores is accounted for by the number of cups of coffee consumed per day? 942 23 32 4651 73
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