In: Statistics and Probability
PLEASE SHOW HOW TO SOLVE IN EXCEL SHOW STEPS
Refer to the Johnson Filtration problem introduced...
PLEASE SHOW HOW TO SOLVE IN EXCEL SHOW STEPS
Refer to the Johnson Filtration problem introduced in this
section. 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
follow.
Repair Time in Hours
|
Months Since Last Service
|
Type of Repair
|
Repairperson
|
2.9
|
2
|
Electrical
|
Dave Newton
|
3
|
6
|
Mechanical
|
Dave Newton
|
4.8
|
8
|
Electrical
|
Bob Jones
|
1.8
|
3
|
Mechanical
|
Dave Newton
|
2.9
|
2
|
Electrical
|
Dave Newton
|
4.9
|
7
|
Electrical
|
Bob Jones
|
4.2
|
9
|
Mechanical
|
Bob Jones
|
4.8
|
8
|
Mechanical
|
Bob Jones
|
4.4
|
4
|
Electrical
|
Bob Jones
|
4.5
|
6
|
Electrical
|
Dave Newton
|
- Ignore for now the months since the last maintenance service
(x1) and the repairperson who performed the service.
Develop the estimated simple linear regression equation to predict
the repair time (y) given the type of repair (x2).
Recall that x2 = 0 if the type of repair is mechanical
and 1 if the type of repair is electrical.
- Does the equation that you developed in part (a) provide a good
fit for the observed data? Explain.
- Ignore for now the months since the last maintenance service
and the type of repair associated with the machine. Develop the
estimated simple linear regression equation to predict the repair
time given the repairperson who performed the service. Let
x3 = 0 if Bob Jones performed the service and
x3 = 1 if Dave Newton performed the service.
- Does the equation that you developed in part (c) provide a good
fit for the observed data? Explain.
- 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.
- At the .05 level of significance, test whether the estimated
regression equation developed in part (e) represents a significant
relationship between the independent variables and the dependent
variable.
- Is the addition of the independent variable x3, the
repairperson who performed the service, statistically significant?
Use α = .05. What explanation can you give for the results
observed?