Question

A large school district is reevaluating its teachers' salaries. They have decided to use regression analysis to predict mean teacher salaries at each elementary school. The researcher uses years of experience to predict salary. The resulting equation was:Y = 23,313.22 + 1,210.89X, where Y = salary and X = years of experience
(a) If a teacher has 10 years of experience, what is the forecasted salary?


(b) If a teacher has 5 years of experience, what is the forecasted salary?


(c) Based on this equation, for every additional year of service, a teacher could expect his or her salary to increase by how much?

Answer 1

Answer:

a) Y = 35,422.12

b) Y = 29,367.67

c) 1,210.89

Step-by-step explanation:

The salary of teachers is forecasted by the following equation,

Y = 23,313.22 + 1,210.89X

Where Y is the forecasted salary and X is the years of experience.

(a) If a teacher has 10 years of experience, what is the forecasted salary?

Here we have X = 10

Y = 23,313.22 + 1,210.89(10)

Y = 23,313.22 + 12,108.9

Y = 35,422.12

(b) If a teacher has 5 years of experience, what is the forecasted salary?

Here we have X = 5

Y = 23,313.22 + 1,210.89(5)

Y = 23,313.22 + 6,054.45

Y = 29,367.67

(c) Based on this equation, for every additional year of service, a teacher could expect his or her salary to increase by how much?

For every additional year of service, a teacher could expect an increase of  1,210.89.