A large school district is reevaluating its teacher’s salaries. They have decide
ID: 3023714 • Letter: A
Question
A large school district is reevaluating its teacher’s 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 raw data is given in the table below.
Salary
Years of Experience
Subject
$ 24,265
8
English
$ 27,140
5
English
$ 22,195
2
Math
$ 37,950
15
Science
$ 32,890
11
Other
$ 40,250
14
Math
$ 36,800
9
Math
$ 30,820
6
Science
$ 44,390
21
Math
$ 24,955
2
Science
$ 18,055
1
English
$ 23,690
7
English
$ 48,070
20
Science
$ 42,205
16
Math
$ 24,265
6
Other
$ 27,140
8
Other
$ 36,875
7
Math
$ 37,950
9
Math
$ 32,890
1
English
$ 40,250
4
Science
Let Y = Salary; X = Years of Experience; X = Math; X = Science; X = English
a) What is the prediction equation?
b) What is the r?
c) What is the MSE?
d) Predict the salary for a science teacher who has eight years of experience
e) Predict the salary for a teacher who is in the subject of “other” with twelve years of experience.
Salary
Years of Experience
Subject
$ 24,265
8
English
$ 27,140
5
English
$ 22,195
2
Math
$ 37,950
15
Science
$ 32,890
11
Other
$ 40,250
14
Math
$ 36,800
9
Math
$ 30,820
6
Science
$ 44,390
21
Math
$ 24,955
2
Science
$ 18,055
1
English
$ 23,690
7
English
$ 48,070
20
Science
$ 42,205
16
Math
$ 24,265
6
Other
$ 27,140
8
Other
$ 36,875
7
Math
$ 37,950
9
Math
$ 32,890
1
English
$ 40,250
4
Science
Explanation / Answer
a.
Salary=23324+1085Years of experience.
b.
r=0.76.
c.
MSE=30612891
d.
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