Let X Be the Average Number of Employees in a Group

question 14

Multiple Choice

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. Suppose a random sample of employees gave the following information. $$\begin{array} { c | c c c c c } \hline x & 2 & 8 & 14 & 32 & 73 \\\hline y & 50 & 45 & 35 & 28 & 16 \\\hline\end{array}$$ As x increases, does the value of r imply that y should tend to increase, decrease, or remain the same? Explain.

• A)Since r is positive, as x increases, y increases.
• B)Since r is negative, as x increases, y increases.
• C)Since r is positive, as x increases, y remains the same.
• D)Since r is negative, as x increases, y decreases.
• E)Since r is zero, as x increases, y decreases.

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Definitions:

Empathy

The ability to understand and share the feelings of another, a crucial component of emotional intelligence and human connection.

Infatuation

A state of intense, often short-lived passion or admiration for someone or something.

In-group Bias

The tendency for people to give preferential treatment and exhibit more positive attitudes towards members of their own group over those of an out-group.

Out-group Bias

A cognitive bias that leads individuals to favor their own group over others, often resulting in prejudice and discrimination against the out-group.