Johnson Filtration, Inc. provides maintenance service for water-filtration systems. 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.  Repair Time (hours) Months Since Last Service Type of Repair Repairperson 2.9 2 electrical Dave Newton 3.0 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 (to 2 decimals). Time = ___ + ___ type 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 (to 2 decimals). Time =   -  ____ Person.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Johnson Filtration, Inc. provides maintenance service for water-filtration systems. 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. 

Repair Time
(hours)

Months Since
Last Service

Type of
Repair

Repairperson

2.9

2

electrical

Dave Newton

3.0

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 (to 2 decimals). Time = ___ + ___ type

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 (to 2 decimals). Time =   -  ____ Person.

Expert Solution
Step 1

Repair time (hours)

(y)

Month Since Last Repaired (x1)

Type of repair

(x2)

Repair person

(x3)

2.9 2 electrical Dave Newton
3.0 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
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