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Thompson Photo Works purchased several new, highly sophisticated processing mach

ID: 2472544 • 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

120

11

385

117

36

  Sue Trythall

118

6

372

119

25

  

The equation is:

  

= 11.2 + 0.3X1 + 0.286X2 + 0.712X3 + 0.007X4

  

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 11 years and scored 270 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 80, and he is 25 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

Name Performance Length of Mechanical Prior on New Time in Aptitude on-the-Job Machine, Industry, Score, Performance, Age, Y X1 X2 X3 X4   Mike Miraglia 120 11 385 117 36   Sue Trythall 118 6 372 119 25 Equation = 11.2 + 0.3X1 + 0.286X2 + 0.712X3 + 0.007X4 d) Let age increase by 1 year means add 1 to X4. so let 1 be a so Ya= 11.2 + 0.3X1 + 0.286X2 + 0.712X3 + 0.007X4a Now lets take other employee say Z all would be same except the age is one year older. X4Z=X4a+1 Yz= 11.2 + 0.3X1 + 0.286X2 + 0.712X3 + 0.007*(X4a+1) 11.2 + 0.3X1 + 0.286X2 + 0.712X3 + 0.007*X4a+.007=Ya+.007 You know Ya= 11.2 + 0.3X1 + 0.286X2 + 0.712X3 + 0.007X4a SoYa+.007 So by increasing age 1 year , Y increase by .007 Ans e So all the value are given for X1,X2,X3,X4 = 11.2 + 0.3X1 + 0.286X2 + 0.712X3 + 0.007X4 11.2+0.3*11+0.286*270+0.712*80+0.007*25 148.855 Carls performance on machine is 148.855

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