Afaculty 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)equalsbeta 0plusbeta 1x. using the method of least squares, the faculty group obtained the following prediction equation. interpret the estimated slope of the line. modifyingabove y with caretequals14,000minus2,000x a. for a $1 increase in an administrator's raise, we estimate the administrator's rating to decrease 2,000 points. b. for a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase $2,000. c. for a 1-point increase in an administrator's rating, we estimate the administrator's raise to decrease $2,000. d. for an administrator with a rating of 1.0, we estimate his/her raise to be $2,000.