### Johnson Filtration, Inc. Maintenance Service Analysis Johnson Filtration, Inc. provides maintenance service for water-filtration systems throughout southern Florida. Suppose that in addition to information on the number of months since the machine was serviced, and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data are as follows: | Repair Time (in Hours) | Months Since Last Service | Type of Repair | Repairperson | |------------------------|---------------------------|----------------|---------------| | 2.8 | 2 | Electrical | Dave Newton | | 3.0 | 7 | Mechanical | Dave Newton | | 4.7 | 8 | Electrical | Bob Jones | | 3.9 | 8 | Mechanical | Dave Newton | | 4.0 | 2 | Electrical | Dave Newton | | 3.2 | 9 | Electrical | Bob Jones | | 4.6 | 6 | Mechanical | Dave Newton | | 4.9 | 4 | Electrical | Bob Jones | | 3.3 | 4 | Mechanical | Bob Jones | | 4.5 | 8 | Electrical | Dave Newton | #### Analysis Objective a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service. Assumptions: - \( x_2 = 1 \) if the type of repair is electrical - \( x_3 = 1 \) if Dave Newton performed the service Enter negative values as negative numbers. **Regression Model:** \[ \text{Time} = b_0 + b_1 \times \text{Months} + b_2 \times \text{Type} + b_3 \times \text{Person} \] Round your answers to three decimal places.

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Please help, I do not understand how to find the b0, b1, b2, b3

### Johnson Filtration, Inc. Maintenance Service Analysis

Johnson Filtration, Inc. provides maintenance service for water-filtration systems throughout southern Florida. Suppose that in addition to information on the number of months since the machine was serviced, and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data are as follows:

| Repair Time (in Hours) | Months Since Last Service | Type of Repair | Repairperson  |
|------------------------|---------------------------|----------------|---------------|
| 2.8                    | 2                         | Electrical     | Dave Newton   |
| 3.0                    | 7                         | Mechanical     | Dave Newton   |
| 4.7                    | 8                         | Electrical     | Bob Jones     |
| 3.9                    | 8                         | Mechanical     | Dave Newton   |
| 4.0                    | 2                         | Electrical     | Dave Newton   |
| 3.2                    | 9                         | Electrical     | Bob Jones     |
| 4.6                    | 6                         | Mechanical     | Dave Newton   |
| 4.9                    | 4                         | Electrical     | Bob Jones     |
| 3.3                    | 4                         | Mechanical     | Bob Jones     |
| 4.5                    | 8                         | Electrical     | Dave Newton   |

#### Analysis Objective

a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service. 

Assumptions:
- \( x_2 = 1 \) if the type of repair is electrical
- \( x_3 = 1 \) if Dave Newton performed the service

Enter negative values as negative numbers.

**Regression Model:**

\[ \text{Time} = b_0 + b_1 \times \text{Months} + b_2 \times \text{Type} + b_3 \times \text{Person} \]

Round your answers to three decimal places.
Transcribed Image Text:### Johnson Filtration, Inc. Maintenance Service Analysis Johnson Filtration, Inc. provides maintenance service for water-filtration systems throughout southern Florida. Suppose that in addition to information on the number of months since the machine was serviced, and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data are as follows: | Repair Time (in Hours) | Months Since Last Service | Type of Repair | Repairperson | |------------------------|---------------------------|----------------|---------------| | 2.8 | 2 | Electrical | Dave Newton | | 3.0 | 7 | Mechanical | Dave Newton | | 4.7 | 8 | Electrical | Bob Jones | | 3.9 | 8 | Mechanical | Dave Newton | | 4.0 | 2 | Electrical | Dave Newton | | 3.2 | 9 | Electrical | Bob Jones | | 4.6 | 6 | Mechanical | Dave Newton | | 4.9 | 4 | Electrical | Bob Jones | | 3.3 | 4 | Mechanical | Bob Jones | | 4.5 | 8 | Electrical | Dave Newton | #### Analysis Objective a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service. Assumptions: - \( x_2 = 1 \) if the type of repair is electrical - \( x_3 = 1 \) if Dave Newton performed the service Enter negative values as negative numbers. **Regression Model:** \[ \text{Time} = b_0 + b_1 \times \text{Months} + b_2 \times \text{Type} + b_3 \times \text{Person} \] Round your answers to three decimal places.
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