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 6 years and scored 345 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 95, and he is 59 years old. Estimate Carl’s performance on the new machine. (Round your answer to 3 decimal places.)

X1 = Length of time an employee was in the industry X2 = Mechanical aptitude test score X3 = Prior on-the-job rating X4 = Age

Explanation / Answer

Answer to the questoins:

a.Multiple regression equation

We are regressing multiple variables against Y, the performence

b. There is 4 independent variable from X1 to X4 & 1 dependent variable

c. 0.712 is one of the regression coefficients

d. If age increases by one year, estimated performance on the new machine increases by 0.1

e. X1 = 6 years, X2 = 345 apti, priorperf, X3= 95, age,X4 = 59 years

Y^ = 10.1 + 0.1X1 + 0.186X2 + 0.712X3 + 0.001X4 =10.1 + 0.1*6 + 0.186*345 + 0.712*95 + 0.001*59 = 142.569

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