Which of the Following Statements Regarding the Correlation Coefficient Is

question 34

Multiple Choice

Which of the following statements regarding the correlation coefficient is false?

• A)The correlation coefficient is a value between -1 and 1.
• B)A high correlation coefficient tells us the data are linear.
• C)A correlation coefficient of 1 means that two variables are perfectly linearly related.
• D)A correlation coefficient of -1 means that as one variable increases, the other decreases.

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Definitions:

Normal Population

A population in which the data follows a normal distribution, characterized by a bell-shaped curve where most observations cluster around the central peak and probabilities for values taper off symmetrically towards the extremes.

Hypotheses

Proposed explanations or predictions that are based on limited evidence as a starting point for further investigation.

Level of Significance

The probability threshold under which a null hypothesis is rejected in hypothesis testing, often denoted by alpha.

Null Hypothesis

A statement positing that there is no significant difference or effect, serving as the default assumption in hypothesis testing.