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Thompson Photo Works purchased several new, highly sophisticated processing mach

ID: 3024121 • Letter: T

Question

Thompson Photo Works purchased several new, highly sophisticated processing machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a factor? Is the length of service as an operator (in years) important? In order to explore further the factors needed to estimate performance on the new processing machines, four variables were listed:

  X1 = Length of time an employee was in the industry

X2 = Mechanical aptitude test score

X3 = Prior on-the-job rating

X4 = Age

Performance on the new machine is designated y.

       Thirty employees were selected at random. Data were collected for each, and their performances on the new machines were recorded. A few results are:


Name

Performance
on New
Machine,
Y

Length of
Time in
Industry,
X1

Mechanical
Aptitude
Score,
X2

Prior
On-the-Job
Performance,
X3

Age,
X4

   Mike Miraglia

112

12

312

121

52

   Sue Trythall

113

2

380

123

27

The equation is:

= 11.6 + 0.4X1 + 0.286X2 + 0.112X3 + 0.002X4

Thompson Photo Works purchased several new, highly sophisticated processing machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a factor? Is the length of service as an operator (in years) important? In order to explore further the factors needed to estimate performance on the new processing machines, four variables were listed:

  X1 = Length of time an employee was in the industry

X2 = Mechanical aptitude test score

X3 = Prior on-the-job rating

X4 = Age

Performance on the new machine is designated y.

       Thirty employees were selected at random. Data were collected for each, and their performances on the new machines were recorded. A few results are:


Name

Performance
on New
Machine,
Y

Length of
Time in
Industry,
X1

Mechanical
Aptitude
Score,
X2

Prior
On-the-Job
Performance,
X3

Age,
X4

   Mike Miraglia

112

12

312

121

52

   Sue Trythall

113

2

380

123

27

The equation is:

= 11.6 + 0.4X1 + 0.286X2 + 0.112X3 + 0.002X4

Explanation / Answer

Considering X1, X2 and X3 to be 0; and X4 to be 1, the performance on new machine is 11.602 units. This implies that at age 1 one can have a machine exxperience, which is meaningless. Therefore, age is not a factor.

Similarly, keep X2, X3 and X4 to be to be 0 and X1 to be 1, the performance on machine is 12 units. This implies that for staying 1 year in the factory one can attain a machin eexperience of 12 units. This in turn verifies that with increase in years of staying, the performance will increase. Thus, it is an important factor.

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