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Mike Wilde is president of the teachers’ union for Otsego School District. In preparing for upcoming...

Mike Wilde is president of the teachers’ union for Otsego School District. In preparing for upcoming negotiations, he is investigating the salary structure of classroom teachers in the district. He believes there are three factors that affect a teacher’s salary: years of experience, a teaching effectiveness rating given by the principal, and whether the teacher has a master’s degree. A random sample of 20 teachers resulted in the following data.

Salary Years Rating Masters
31.1 8 35 0
33.6 5 43 0
29.3 2 51 1
43 15 60 1
38.6 11 73 0
45 14 80 1
42 9 76 0
36.8 7 54 1
48.6 22 55 1
31.7 3 90 1
25.7 1 30 0
30.6 5 44 0
51.8 23 84 1
46.7 17 76 0
38.4 12 68 1
33.6 14 25 0
41.8 8 90 1
30.7 4 62 0
32.8 2 80 1
42.8 8 72 0

Determine the regression equation. What salary would you estimate for a teacher with 5 years’ experience, a rating by the principal of 60, and no master’s degree?

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