(Step-by-Step) A researcher wants to model the salary of mathematics teachers (dependent variable measured in thousands of dollars) through the relationship
Question: A researcher wants to model the salary of mathematics teachers (dependent variable measured in thousands of dollars) through the relationship with an index of quality in work, the number of years of teaching experience and an index on intervention in successful publications. The researcher selected a random sample of 24 teachers, collecting the following data:
| Salary |
Quality in
the job |
Experience |
Intervention in
publications |
| 33.2 | 3.5 | 9 | 6.1 |
| 40.3 | 5.3 | 20 | 6.4 |
| 38.7 | 5.1 | 18 | 7.4 |
| 46.8 | 5.8 | 33 | 6.7 |
| 41.4 | 4.2 | 31 | 7.5 |
| 37.5 | 6 | 13 | 5.9 |
| 39 | 6.8 | 25 | 6 |
| 40.7 | 5.5 | 30 | 4 |
| 30.1 | 3.1 | 5 | 5.8 |
| 52.9 | 7.2 | 47 | 8.3 |
| 38.2 | 4.5 | 25 | 5 |
| 31.8 | 4.9 | 11 | 6.4 |
| 43.3 | 8 | 23 | 7.6 |
| 44.1 | 6.5 | 35 | 7 |
| 42.8 | 6.6 | 39 | 5 |
| 33.6 | 3.7 | 21 | 4.4 |
| 34.2 | 6.2 | 7 | 5.5 |
| 48 | 7 | 40 | 7 |
| 38 | 4 | 35 | 6 |
| 35.9 | 4.5 | 23 | 3.5 |
| 40.4 | 5.9 | 33 | 4.9 |
| 36.8 | 5.6 | 27 | 4.3 |
| 45.2 | 4.8 | 34 | 8 |
| 35.1 | 3.9 | 15 | 5 |
- Estimate the multiple linear regression model and interpret its coefficients.
- What is the fit of the multiple linear regression model (calculates the adjusted coefficient of determination)?
- Perform a hypothesis test to test the validity of the linear regression model. Justify your answer, use a = 0.05.
- Are all explanatory variables significant in the model? Use a = 0.025.
Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document 