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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

  1. 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.
  2. Does the equation that you developed in part (a) provide a good fit for the observed data? Explain.
  3. 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.
  4. Does the equation that you developed in part (c) provide a good fit for the observed data? Explain.
  5. 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.
  6. 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.
  7. 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?

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