Choose the one alternative that best completes the statement or answers the ques
ID: 3351109 • Letter: C
Question
Choose the one alternative that best completes the statement or answers the question.
Is there a relationship between the raises administrators at State University receive and their performance on the job? A faculty sroup warnts to determine whether job rating (r) is a useful linear predictor of raise (y) Consequently, the group comsidered the straight-line regression model Ey)- Po.PI. Using the method of least squares, the faculty group obtained the following prediction equation: 14,000-2,000x nterpret the estimated slope a the line A) For a 1-point increase in an administrators rating, we estimate the B) For a S1 increase in an administrator's raise, we estimate the C) For an administrator with a rating of 1.0, we estimate his/her raise D) For a 1-point increase in an administrators rating, we estimate the administrator's raise to increase $2.000. administrator's rating to decrease 2,000 points to be $2,000. administrator's raise to decrease $2,000 the estimated y-intercept of the line A) The base administrator raise at State University is $14,000 B) For a 1-point increase in an administrators 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 S14,000. D) There is no practical interpretation, since rating of O is nonsensical and outside the range of the sample dataExplanation / Answer
Slope interpretation : Slope is defined as increase/decrease in variable y when there is unit increase in variable x.If the slope is positive,y increases on increasing x. If slope is negative y decreases on increasing x.
The correct option would be,
D) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to decrease $2,000
y-intercept interpretation : The correct option would be given by,
C) For an administrator who receives a rating of zero, we estimate his or her raise to be $14,000