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

Multiple Choice

Is there a relationship between the raises administrators at County 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 linear regression model
$$E ( y ) = \beta _ { 0 } + \beta _ { 1 } x$$
The faculty group obtained the following prediction equation:
$$\hat { y } = 14,000 - 2,000 x$$
Which of the following statements about the model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } ^ { x }$ is correct?

A) The model hypothesizes that, on average, administrators make more money than professors.
B) The model hypothesizes that the raises for the administrators fall in a perfect straight line.
C) The model hypothesizes a line of means; as rating $( x )$ increases, the mean raise $E ( y )$ moves up or down along a straight line.
D) The model hypothesizes that knowing an administrator's rating $( x )$ will determine exactly the administrator's raise $( y )$ .