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 110 4 305 125 32
  Sue Trythall 117 4 384 122 27

The equation is:

[formula174.mml] = 10.9 + 0.7X1 + 0.386X2 + 0.312X3 + 0.007X4

a. What is this equation called?
  

(Click to select)
Multiple standard error of estimate
Coefficient of determination
Multiple regression equation

b. How many dependent and independent variables are there?
  

(Click to select)
One
Two
Three
Four
Five
dependent,
(Click to select)
One
Two
Three
Four
Five
independent

c. What is the number 0.312 called?
  

(Click to select)
Regression coefficient
Coefficient of determination
Homoscedasticity
Multicollinearity

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 9 years and scored 385 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 90, and he is 41 years old. Estimate Carl’s performance on the new machine. (Round your answer to 3 decimal places.)

Explanation / Answer

The regression equation is

Y = 10.9 + 0.7X1 + 0.386X2 + 0.312X3 + 0.007X4

a) This equation called : a. What is this equation called

b) Number of dependent variable : 1

and number of independent variable : 4

c) The number 0.312 is called : Regression coefficient

d) As age(X4) increases by one year, the estimated performance on the new machine increase 0.007 unit.

e) The estimated Carl’s performance on the new machine

= 10.9 + (0.7*9) + (0.386*385) + (0.312*90) + (0.007*41)

= 194.177

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