Is There a Relationship Between the Raises Administrators at State $( x )$

question 105

Multiple Choice

Is there a relationship between the raises administrators at State University receive and their performance on the job? A faculty group wants to determine whether job rating $( x )$ is a useful linear predictor of raise ( $y$ ) . Consequently, the group considered the straight-line regression model
$$E ( y ) = \beta _ { 0 } + \beta _ { 1 } x .$$
Using the method of least squares, the faculty group obtained the following prediction equation:
$$\hat { y } = 14,000 - 2,000 x$$
Interpret the estimated $y$ -intercept of the line.

• A) There is no practical interpretation, since rating of 0 is nonsensical and outside the range of the sample data.
• B) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase \(\$ 14,000\).
• C) For an administrator who receives a rating of zero, we estimate his or her raise to be \(\$ 14,000\).
• D) The base administrator raise at State University is \(\$ 14,000\).

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Definitions:

Association Cortex

Regions of the cerebral cortex that integrate sensory and motor information, playing a crucial role in complex cognitive processes like thinking, planning, and language.

Agnosia

A neurological condition characterized by the inability to recognize and process sensory information despite having intact sensory systems.

Neurological Disorders

are diseases of the central and peripheral nervous system, such as Alzheimer's disease, epilepsy, and multiple sclerosis.

Apraxia

A neurological condition characterized by the loss of the ability to perform movements or gestures purposely, despite having the desire and physical capacity to do so.