If Two Variables Were Perfectly Correlated,what Would the Coefficient of Correlation

question 114

Multiple Choice

If two variables were perfectly correlated,what would the coefficient of correlation r equal?

• A)0
• B)-1
• C)1
• D)B or C
• E)none of the above

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Definitions:

Sampling Distribution

The distribution of a statistic (like the mean or variance) derived from a large number of samples drawn from a specific population.

Sample Mean Difference

The difference between the average values from two samples, used in hypothesis testing to compare two groups.

Equal-variances Test

A statistical test used to determine if two populations have the same variance.

Degrees of Freedom

The count of unique values or quantities that can be allocated to a statistical distribution or a system while still adhering to given constraints.