Thompson Photo Works purchased several new, highly sophisticated processing mach

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

116

4

385

120

32

  Sue Trythall

115

4

372

116

25

The equation is:

= 11.2 + 0.4X1 + 0.786X2 + 0.512X3 + 0.001X4

d.

As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.)

e.

Carl Knox applied for a job at Photo Works. He has been in the business for 6 years and scored 275 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 75, and he is 55 years old. Estimate Carl’s performance on the new machine. (Round your answer to 3 decimal places.)

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:

Explanation / Answer

d) from above given equation As age increases by one year  estimated performance on the new machine increase by 0.001

e)  Estimated performance on the new machine =11.2+0.4*6+0.786*275+0.512*75+0.001*55=268.205

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