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Which of the following best describes the 95% CI for the relationship between the number of dogs and daily stress?

a) It suggests a strong positive correlation
b) It suggests a weak negative correlation
c) It provides a range within which the true relationship likely lies
d) It indicates a causation between the variables

1 Answer

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Final answer:

The 95% CI describes a range for the true relationship between the number of dogs and daily stress but does not suggest correlation strength, direction, or causation. Correlation coefficients indicate these aspects, where values close to 1 or -1 represent stronger relationships, and values near 0 indicate weaker ones.

Step-by-step explanation:

Understanding the 95% CI in Correlational Studies

The 95% confidence interval (CI) for the relationship between the number of dogs and daily stress provides a range within which the true relationship between these variables is likely to lie, not to mention the direction or strength of the relationship. It is essential to recognize that a CI does not suggest a positive or negative correlation nor indicate causation between variables. When examining correlations, it's the correlation coefficient that describes the strength and direction of a relationship. The coefficient ranges from -1 to 1, where values close to 1 or -1 indicate a strong relationship and values close to 0 indicate a weak relationship.

Looking at the information provided regarding other correlational research examples, we know positive correlations indicate that both variables increase together, while negative correlations suggest that as one variable increases, the other decreases. However, remember that correlation does not imply causation, and only through experimental research can causation be demonstrated.

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