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 on New Machine, Length of Time in Industry, Mechanical Aptitude Score, Prior On-the-Job Performance, Age, Name y x1 x2 x3 x4 Mike Miraglia 118 11 343 122 50           Sue Trythall 116 8 307 128 21               The equation is:   yˆ = 10.2 + 0.2x1 + 0.486x2 + 0.812x3 + 0.008x4   As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 on New Machine, Length of Time in Industry, Mechanical Aptitude Score, Prior On-the-Job Performance, Age,
Name y x1 x2 x3 x4
Mike Miraglia 118 11 343 122 50          
Sue Trythall 116 8 307 128 21          
 

 

The equation is:

 

= 10.2 + 0.2x1 + 0.486x2 + 0.812x3 + 0.008x4

 

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

 

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