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.
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 ($ thousands), y | Years of Experience, x1 | Principal's Rating, x2 | Master's Degree,* x3 | ||||
| 31.1 | 8 | 35 | 0 | ||||
| 33.6 | 5 | 43 | 0 | ||||
| 29.3 | 2 | 51 | 1 | ||||
| 43.0 | 15 | 60 | 1 | ||||
| 38.6 | 11 | 73 | 0 | ||||
| 45.0 | 14 | 80 | 1 | ||||
| 42.0 | 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 | ||||
c. Conduct a global test of hypothesis to determine whether any of the regression coefficients differ from zero. Use the 0.05 significance level. (Round your answers to 2 decimal places.)
d. Conduct a test of hypothesis for the individual regression coefficients. Would you consider deleting any of the independent variables? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
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