[See Solution] Thompson Photo Works purchased several new, highly sophisticated processing machines. The production department needed some guidance with respect
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:
\(X_{1}=\) Length of time an employee was in the industry
\(X_{2}=\) Mechanical aptitude test score
\(X_{3}=\) Prior on-the-job rating
\(X_{4}=\) 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:
The equation is:
\[\hat{Y}=11.6+0.4 X_{1}+0.286 X_{2}+0.112 X_{3}+0.002 X_{4}\]- What is this equation called?
- How many dependent variables are there? Independent variables?
- What is the number 0.286 called?
- As age increases by one year, how much does estimated performance on the new machine increase?
- Carl Knox applied for a job at Photo Works. He has been in the business for six years, and scored 280 on the mechanical aptitude test. Carl's prior on-the-job performance rating is 97 , and he is 35 years old. Estimate Carl's performance on the new machine.
Deliverable: Word Document 