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: Performance Length of Mechanical Prior on New Time in Aptitude on-the-Job Machine, Industry, Score, Performance, X1. 111 | 13 121 116 300 126 X2 X3 Name Mike Miraglia Sue Trythall 365 The equation is: Y = 10.3 + 0.8x1 + 0.786X2 + 0.712X3 + 0.008X4

Explanation / Answer

d.

The slope of X4 (Age) is 0.008. So, as age increases by one year, the estimated performance on the new machine increases by 0.008.

e.

Given, X1 = 6, X2 = 385, X3 = 65, Age = 26

Carl's performance = 10.3 + 0.8 X1 + 0.786 X2 + 0.712 X3 + 0.008 X4

= 10.3 + 0.8 * 6 + 0.786 * 385 + 0.712 * 65 + 0.008 * 26

= 364.198

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