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A large school district is reevaluating its teachers\' salaries. They have decid

ID: 2900788 • Letter: A

Question

A large school district is reevaluating its teachers' salaries. They have decided to use regression analysis to predict mean teachers' 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?

Explanation / Answer

a) X = 10


Y = 23,313.22 + 1,210.89 * 10 = 35422.12


b) X = 5


Y = 23,313.22 + 1210.89 * 5 = 29367.67


c) if X increases by 1, then from equation , Y increases by 1,210.89 . So the salary increases by 1,210.89

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