An observational study found that the amount of sleep an employee gets each night is associated with job performance. The correlation coefficient was found to be r = 0.86. A reader of the study concluded that more sleep causes employees to perform better. Why is such a conclusion not correct? (A) The correlation value should equal 1 for such a conclusion. (B) The correlation value should be negative for such a conclusion. (C) The sample was not representative of the population. (D) Causation cannot be determined from an observational study. (E) The correlation value implies that less than 75% of the variability in job performance can be explained by sleep.
An observational study found that the amount of sleep an employee gets each night is associated with job performance. The correlation coefficient was found to be r = 0.86. A reader of the study concluded that more sleep causes employees to perform better. Why is such a conclusion not correct? (A) The correlation value should equal 1 for such a conclusion. (B) The correlation value should be negative for such a conclusion. (C) The sample was not representative of the population. (D) Causation cannot be determined from an observational study. (E) The correlation value implies that less than 75% of the variability in job performance can be explained by sleep.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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Why causation cannot be determined from a survey? Why the answer in the attached question is B? Thanks!
Transcribed Image Text:An observational study found that the amount of sleep an employee gets each night is associated with job
performance. The correlation coefficient was found to be r = 0.86. A reader of the study concluded that more
sleep causes employees to perform better. Why is such a conclusion not correct?
(A) The correlation value should equal 1 for such a conclusion.
(B) The correlation value should be negative for such a conclusion.
(C) The sample was not representative of the population.
(D) Causation cannot be determined from an observational study.
(E)
The correlation value implies that less than 75% of the variability in job performance can be explained
by sleep.
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