A Correlation Coefficient of -1

question 51

Multiple Choice

A correlation coefficient of -1.0 between two sets of numbers indicates _____.

• A) a complete lack of any correlation between the two sets
• B) that when one set of numbers goes up, so does the other set
• C) that when one set of numbers goes up, the other set goes down
• D) a partial correlation between the two sets
• E) an indefinite relationship between the two sets

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Definitions:

P-Value

A statistical measure that helps scientists determine the significance of their research results, indicating the probability of observing the observed results, or more extreme, by chance if the null hypothesis is true.

Observed Significance Level

The probability of observing the given result, or one more extreme, by chance if the null hypothesis is true. It is often denoted as the p-value.

Probability Density Function

A function that describes the relative likelihood for a continuous random variable to occur at a specific point.

Null Hypothesis

A default hypothesis that there is no significant difference or effect, often tested against an alternative hypothesis in statistical analysis to evaluate the strength of evidence.