Average Average Teacher Salaries ($) $34,300 Average Teacher School SOL Score Tenure (yr) 1 81 9.3 2 78 28,700 10.1 3 76 26,500 7.6 4 77 36,200 8.2 5 84 35,900 8.8 6 86 32,500 12.7 7 79 31,800 8.4 8 91 38,200 11.5 68 27,100 8.3 10 73 31,500 7.3 11 90 37,600 12.3 12 85 40,400 14.2

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.5: Multistage Decision Problems
Problem 18P
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The State of Virginia has instituted a series of Standards ofLearning (SOL) tests in math, history, English, and sciencethat all high school students must pass with a grade of 70 be-fore that are allowed to graduate and receive their diploma.The school superintendent of Montgomery County believesthe tests are unfair because they are closely related to teachersalaries and teacher school tenure (i.e., the years a teacher hasbeen at a school). The superintendent has sampled 12 othercounty school systems in the state and accumulated thefollowing data for average teacher salaries and averageteacher tenure.a. Using Excel, develop the multiple regression equationfor these data.b. What is the coefficient of determination for thisregression equation? Do you think the superintendentis correct in his beliefs?c. Montgomery County has an average SOL score of 74with an average teacher’s salary of $27,500 and anaverage teacher tenure of 7.8 years. The superintendenthas proposed to the school board a salary increasethat would raise the average salary to $30,000 and abenefits program with a goal of increasing the averagetenure to nine years. He has suggested that if the boardpasses his proposals the average SOL score willincrease to 80. Is he correct according to the forecastingmodel?

 

Average
Average Teacher
Salaries ($)
$34,300
Average Teacher
School
SOL Score
Tenure (yr)
1
81
9.3
2
78
28,700
10.1
3
76
26,500
7.6
4
77
36,200
8.2
5
84
35,900
8.8
6
86
32,500
12.7
7
79
31,800
8.4
8
91
38,200
11.5
68
27,100
8.3
10
73
31,500
7.3
11
90
37,600
12.3
12
85
40,400
14.2
Transcribed Image Text:Average Average Teacher Salaries ($) $34,300 Average Teacher School SOL Score Tenure (yr) 1 81 9.3 2 78 28,700 10.1 3 76 26,500 7.6 4 77 36,200 8.2 5 84 35,900 8.8 6 86 32,500 12.7 7 79 31,800 8.4 8 91 38,200 11.5 68 27,100 8.3 10 73 31,500 7.3 11 90 37,600 12.3 12 85 40,400 14.2
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Cengage,