Compute the Linear Correlation Coefficient Between the Two Variables and Determine

question 9

Multiple Choice

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.
-The table shows the number of days off last year and the earnings for the year (in thousands of dollars) for nine randomly selected insurance salesmen.

• A) \(\mathrm { r } = - 0.991\); linear relation exists
• B) \(\mathrm { r } = - 0.991\); no linear relation exists
• C) \(\mathrm { r } = - 0.899\); linear relation exists
• D) \(\mathrm { r } = - 0.899\); no linear relation exists

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Definitions:

Reinforcement

In behavioral psychology, a principle that strengthens a behavior by providing a consequence an individual finds rewarding.

Frequency

The rate at which a repeated event occurs over a specified period of time, often used in the context of waves or signals.

Negative Reinforcement

A technique used to increase the likelihood of a desired behavior by removing an unpleasant stimulus when the behavior occurs.

Positive Reinforcement

The process of encouraging a desired behavior by rewarding it, thereby increasing the likelihood of its recurrence.