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:

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

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

Carl Knox applied for a job at Photo Works. He has been in the business for 3 years and scored 285 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 95, and he is 60 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

Solution:

Given that, Thomson photo works purchased several new, highly sophisticated processing machines.

The production department needed some guidance with respect to qualifications needed by an opearator.

In order to explore further the factors needed ti estimate performance on the new proccessing 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 emploees were selected at random. Data were collected for each, and their performance on the machines were recorded. A few results are,

Performance Length Mechanical Prior on new of time aptitude on-the-job

Name Machine Industry Score Performance Age

Y X1 X2 X3 X4

Mike Miraglia 119 9 360 120 30

Sue Trythall 114 11 366 129 25

The equation is:

Y = 11.3 + 0.8X1 + 0.286X2 + 0.112X3 + 0.006X4

a) The equation is:

Y = 11.3 + 0.8X1 + 0.286X2 + 0.112X3 + 0.006X4

The equation is called least squares Regression equation for machine versus Industry , Score, Performance and Age.

b) There are no dependent variable, that is, Machine(Y)

There are 4 independent variables, they are,

Industry (X1), Score(X2), Performance(X3), and Age (X4)

c) The value 0.112 is the regression coefficient of the variable X3

d) As the coefficient of the variable X4 i.e. age is 0.006, so when the age increases by 1 year, then Y i.e. performance on neww machine increases by 0.006.

e) Carl Knox applied for a job at Photo Works.

He has been in the business for six years, and scored 285 on the mechanical aptitude test. Carl's prior on-the-job performance rating is 95, and he is 60 years old.

Therefore the estimated Carl's performance on the new machine is,

The least square regression line is,

Y = 11.3 + 0.8X1 + 0.286X2 + 0.112X3 + 0.006X4

Y = 11.3 + 0.8(3) + 0.286(285) + 0.112(95) + 0.006(60)

Y = 106.21

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